def wav_to_spectrogram(audio_path, save_path, spectrogram_dimensions=(64, 64), noverlap=16, cmap="grey_r"):
""" Creates a spectrogram of a wav file.
:param audio_path: path of wav file
:param save_path: path of spectrogram to save
:param spectrogram_dimensions: number of pixels the spectrogram should be. Defaults (64,64)
:param noverlap: See http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.spectrogram.html
:param cmap: the color scheme to use for the spectrogram. Defaults to 'gray_r'
:return:
"""
sample_rate, samples = wav.read(audio_path)
plt.specgram(samples, cmap=cmap, noverlap=noverlap)
plt.axis("off")
plt.tight_layout()
plt.savefig(save_path, bbox_inches="tight", pad_inches=0)
plt.tight_layout()
# TODO: Because I cant figure out how to create a plot without padding
# I am using `.trim()`, It would be better to do this in the plot itself.
# Also probably better to do the sizing in the plot too.
with Image(filename=save_path) as i:
i.trim()
i.resize(spectrogram_dimensions[0], spectrogram_dimensions[1])
i.save(filename=save_path)
def plot_segment(segment, window_size, step_size):
"""Plots the waveform, power over time, spectrogram with formants, and power over frequency of a Segment."""
pyplot.figure()
pyplot.subplot(2, 2, 1)
pyplot.plot(numpy.linspace(0, segment.duration, segment.samples), segment.signal)
pyplot.xlim(0, segment.duration)
pyplot.xlabel('Time (s)')
pyplot.ylabel('Sound Pressure')
pyplot.subplot(2, 2, 2)
steps, power = segment.power(window_size, step_size)
pyplot.plot(steps, power)
pyplot.xlim(0, segment.duration)
pyplot.xlabel('Time (s)')
pyplot.ylabel('Power (dB)')
pyplot.subplot(2, 2, 3)
pyplot.specgram(segment.signal, NFFT=window_size, Fs=segment.sample_rate, noverlap=step_size)
formants = segment.formants(window_size, step_size, 2)
pyplot.plot(numpy.linspace(0, segment.duration, len(formants)), formants, 'o')
pyplot.xlim(0, segment.duration)
pyplot.xlabel('Time (s)')
pyplot.ylabel('Frequency (Hz)')
pyplot.subplot(2, 2, 4)
frequencies, spectrum = segment.power_spectrum(window_size, step_size)
pyplot.plot(frequencies / 1000, 10 * numpy.log10(numpy.mean(spectrum, axis=0)))
pyplot.xlabel('Frequency (kHz)')
pyplot.ylabel('Power (dB)')
def analize_dat(self, file_path, start, length, window, overlap):
target_path = self._get_dat_target_path(file_path)
start_sample = start * self.fs
end_sample = start_sample + length * self.fs
signal = []
with open(target_path) as f:
for i, line in enumerate(f):
if len(line.strip()) and line[0] == ';':
continue
if i < start_sample:
continue
if i >= end_sample:
break
vals = self._parse_line(line)
if len(vals) > 2:
signal.append(vals[1])
np_signal = np.array(signal)
del signal
plt.specgram(
np_signal,
NFFT = window,
Fs = self.fs,
window = mlab.window_hanning,
scale_by_freq = True,
noverlap = overlap)
plt.draw()
def spectrum(signal):
plt.specgram(
signal,
Fs=44100)
plt.ylim([0, 22050])
plt.savefig('spectrum.png')
plt.clf()
def write_results(self, kiwi_result, individual_calls, filename, audio, rate, segmented_sounds):
# sample_name_with_dir = filename.replace(os.path.split(os.path.dirname(filename))[0], '')[1:]
self.Log.info('%s: %s' % (filename.replace('/Recordings',''), kiwi_result))
self.DevLog.info('<h2>%s</h2>' % kiwi_result)
self.DevLog.info('<h2>%s</h2>' % filename.replace('/Recordings',''))
self.DevLog.info('<audio controls><source src="%s" type="audio/wav"></audio>',
filename.replace('/var/www/','').replace('/Recordings',''))
# Plot spectrogram
plt.ioff()
plt.specgram(audio, NFFT=2**11, Fs=rate)
# and mark on it with vertical lines found audio features
for i, (start, end) in enumerate(segmented_sounds):
start /= rate
end /= rate
plt.plot([start, start], [0, 4000], lw=1, c='k', alpha=0.2, ls='dashed')
plt.plot([end, end], [0, 4000], lw=1, c='g', alpha=0.4)
plt.text(start, 4000, i, fontsize=8)
if individual_calls[i] == 1:
plt.plot((start + end) / 2, 3500, 'go')
elif individual_calls[i] == 2:
plt.plot((start + end) / 2, 3500, 'bv')
plt.axis('tight')
title = plt.title(kiwi_result)
title.set_y(1.03)
spectrogram_sample_name = filename + '.png'
plt.savefig(spectrogram_sample_name)
plt.clf()
path = spectrogram_sample_name.replace('/var/www/','').replace('/Recordings','')
self.DevLog.info('<img src="%s" alt="Spectrogram">', path)
self.DevLog.info('<hr>')
def t_hist_specgram(t_hist, time):
time_step = (time[-1]-time[0])/len(time)
plt.figure()
plt.specgram(t_hist, NFFT=256, Fs=1./time_step)
plt.xlabel('Time (s)'); plt.ylabel('Frequency (Hz)')
plt.xlim([0, time[-1]-time[0]])
plt.show()
def plot_me(signal, i, imax, MySampleRate = SampleRate, NFFT = 8192, noverlap = 1024):
a = pyplot.subplot(imax, 2, 2 * i + 1)
pyplot.title("Left %i" % MySampleRate)
pyplot.specgram(signal[0], NFFT = NFFT, Fs = MySampleRate, noverlap = noverlap )
a = pyplot.subplot(imax, 2, 2 * (i + 1))
pyplot.title("Right %i" % MySampleRate)
pyplot.specgram(signal[1], NFFT = NFFT, Fs = MySampleRate, noverlap = noverlap )
def creat_img(a,str_data,nchannels,sampwidth,framerate,nframes):
#f = wave.open(r"C:/py/soudn/static/img/m"+a+".wav", "rb")
# 读取格式信息
# (nchannels, sampwidth, framerate, nframes, comptype, compname)
#params = f.getparams()
#nchannels, sampwidth, framerate, nframes = params[:4]
#str_data = f.readframes(nframes)
#f.close()
#将波形数据转换为数组
wave_data = np.fromstring(str_data, dtype=np.short)
wave_data.shape = -1, nchannels
wave_data = wave_data.T
time = np.arange(0, nframes) * (1.0 / framerate)
wave_data = wave_data/32768.0
plt.subplot(211)
plt.title('Amplitude Fig')
plt.ylabel('Amplitude')
plt.plot(time,wave_data[0])
plt.subplot(212)
plt.title('Spectrogram Fig')
plt.xlabel('Time')
plt.ylabel('Frequency')
plt.specgram(wave_data[0], NFFT=1024, Fs=framerate, noverlap=400)
plt.ylim(200,2500)
plt.savefig("C:/py/soudn/static/img/m"+a+".png")
def analyze(self):
data = (
self.prepare_numpy_matrix()
) # np.hstack(self.data.signal_data(self.slice)) #filter_low_high_pass(np.hstack(self.data.signal_data(self.slice)))
plt.specgram(data, NFFT=self.nfft * self.schema.sampling_rate_hz, Fs=self.schema.sampling_rate_hz)
plt.axis([0, 30, 0, 35])
self.make_plot(self.file_name)
def plot_wav_and_spec(wav_path, f0):
wav = get_wav(wav_path)
fs = wav.getframerate()
nf = wav.getnframes()
ns = nf/float(fs)
wav = fromstring(wav.readframes(-1), 'Int16')
fig = pyplot.figure()
pyplot.title(wav_path)
w = pyplot.subplot(311)
w.set_xlim(right=nf)
w.plot(wav)
pyplot.xlabel("Frames")
s = pyplot.subplot(312)
pyplot.specgram(wav, Fs=fs)
s.set_xlim(right=ns)
s.set_ylim(top=8000)
if f0:
f = pyplot.subplot(313)
x_points = [(ns/len(f0))*x for x in range(1, len(f0)+1)]
y_points = [x for x in f0]
pyplot.plot(x_points, y_points)
f.set_xlim(right=ns)
pyplot.xlabel("Seconds")
pyplot.show()
def plotSpectrogram(self,N=4096,title='Spectrogramme'):
plt.clf()
plt.specgram(self.signal,N,self.framerate)
plt.colorbar()
plt.xlabel('Temps (en secondes)')
plt.ylabel('Frequence (en Hz)')
plt.title(title + ', Fe=' + str(self.framerate) + ' (' + str(N) + ' points)')
def viz_sound(sound, name, npts=1000):
plt.figure()
plt.specgram(sound)
plt.title(name)
plt.figure()
plt.plot(sound[:npts])
plt.title(name)
def test_read_wave():
f = Sndfile("../fcjf0/sa1.wav", 'r')
data = f.read_frames(46797)
data_arr = np.array(data)
#print data_arr
pyplot.figure()
pyplot.specgram(data_arr)
pyplot.show()
def show_spectrogram(data, date, file_time):
plt.specgram(data, pad_to=nfft, NFFT=nfft, noverlap=noverlap, Fs=fs)
plt.title(date + "T" + file_time + "Z")
plt.ylim(0, 600)
plt.yticks(np.arange(0, 601, 50.0))
plt.xlabel("Time (sec)")
plt.ylabel("Frequencies (hz)")
plt.show()
plt.close()
def spectrogram():
fs, data = sc.io.wavfile.read('/home/zechthurman/Songscape/03. Kali 47 (Original Mix).wav')
t = data.size/500
dt = 0.1
NFFT = 1024
Fs = int(1.0/dt) # the sampling frequency
plt.specgram(data[:,1], NFFT=NFFT, Fs=Fs, noverlap=900, cmap= plt.cm.gist_heat)
plt.show()
def generate_spectrogram(wav_file):
# Method to generate the spectrogram
sound_info, frame_rate = generate_sound_data(wav_file)
plt.subplot(111)
plt.title("Spectrogram of %r" %sound)
plt.xlabel("Time in (s)")
plt.ylabel("Frequency in Hz")
plt.specgram(sound_info, Fs=frame_rate)
plt.savefig(sound_source+"/"+sound+"_spectrogram.png")
def plot_specgram(sound_names, raw_sounds):
i = 1
for n, f in zip(sound_names, raw_sounds):
plt.subplot(10, 1, i)
specgram(np.array(f), Fs=66650)
plt.title(n.title())
i += 1
plt.suptitle("Figure 2: Spectrogram", x=0.5, y=0.915, fontsize=18)
plt.show()
def wav_specgram(filename):
import scipy
import matplotlib.pyplot as plt
rate, signal = scipy.io.wavfile.read(filename)
if signal.ndim > 1:
signal = signal[:, 0]
plt.specgram(signal, Fs=rate, xextent=(0, 0.1))
plt.show()
def plot_specgram(sound_names, raw_sounds):
i = 1
fig = plt.figure(figsize(25,60), dpi = 900)
for n, f in zip(sound_names, raw_sounds):
plt.subplot(10,1,i)
specgram(np.array(f), Fs=22050)
plt.title(n.title())
i += 1
plt.suptitle('Figure 2: spectogram', x=.5, y=.915, fontsize=18)
plt.show()
def main(path):
# Connect to the cs server with the proper credentials.
session = FTP()
session.connect("cs.appstate.edu")
user = raw_input("Type your username.")
passwd = getpass.getpass("Type your password.")
session.login(user, passwd)
session.cwd(path)
try:
session.mkd("../Spectrograms")
except error_perm:
pass
# Gets the flac files in the passed in directory
match = "*.flac"
count = 1
# Print the total number of .mp3 files that are in the directory,
# and go through them all
print "Total number of files: " + str(len(session.nlst(match)))
left_index = 1
right_index = 1
for name in session.nlst(match):
read = StringIO.StringIO()
session.retrbinary("RETR " + name, read.write)
data = read.getvalue()
bee_rate, bee_data = get_data_from_flac(data)
plt.specgram(bee_data, pad_to=nfft, NFFT=nfft, noverlap=noverlap, Fs=fs)
plt.title(name)
jpeg_temp = tempfile.NamedTemporaryFile(suffix=".jpeg")
plt.savefig(jpeg_temp.name)
plt.close()
spec = open(jpeg_temp.name, 'r')
if "left" in name:
session.storbinary("STOR ../Spectrograms/%05d_left.jpeg" % left_index, spec)
left_index += 1
if "right" in name:
session.storbinary("STOR ../Spectrograms/%05d_right.jpeg" % right_index, spec)
right_index += 1
spec.close()
jpeg_temp.close()
print "File number: " + str(count)
count += 1
# Close the StringIO
read.close()
# Close the FTP connection
session.quit()
print "Done."
def graph_spectrogram(wav_file):
rate, data = get_wav_info(wav_file)
nfft = 200 # Length of each window segment
fs = 8000 # Sampling frequencies
noverlap = 120 # Overlap between windows
nchannels = data.ndim
if nchannels == 1:
pxx, freqs, bins, im = plt.specgram(data, nfft, fs, noverlap = noverlap)
elif nchannels == 2:
pxx, freqs, bins, im = plt.specgram(data[:,0], nfft, fs, noverlap = noverlap)
return pxx
def main():
frame_size = 2048
num_features = 12
filename = None
try:
filename = sys.argv[1]
sample_frequency, x = wavfile.read(filename)
if x.ndim > 1:
x = x.T[0, :]
sample_frequency = float(sample_frequency)
num_frames = x.size // frame_size
except IndexError:
sample_frequency = 44100.0
num_frames = 100
size = frame_size * num_frames
dt = 1.0 / sample_frequency
if filename is None:
t = np.linspace(0, size * dt, size, endpoint=False)
signal_frequency = 1000.0
x = np.sin(2 * np.pi * signal_frequency * t) + 0.25 * np.random.rand(size)
print('Input signal: %d frames, %d samples at %0.0f Hz' % (
num_frames,
size,
sample_frequency,
))
# 2. split signal into frames and calculate MFCC features for each frame
features = np.zeros((num_frames, num_features))
for i in range(num_frames):
idx_begin = i * frame_size
idx_end = (i + 1) * frame_size
frame = x[idx_begin:idx_end]
features[i, :] = mfcc(frame, sample_frequency, num_features=num_features)
# 3. plot the spectrogram of the signal and the MFCC chart below
plt.figure()
plt.subplot(211)
plt.specgram(x, NFFT=frame_size, Fs=sample_frequency)
plt.xlim([0, dt * size])
plt.ylim([0, sample_frequency / 2.0])
plt.xlabel('Time [s]')
plt.ylabel('Frequency [Hz]')
plt.title('Spectrogram')
plt.subplot(212)
x_scale = np.linspace(0, dt * size, num_frames, endpoint=False)
y_scale = np.arange(0, num_features + 1, 1)
plt.xlim([0, dt * size])
plt.ylim([0, num_features])
# features transposed so time is on the X axis
plt.pcolormesh(x_scale, y_scale, features.T)
plt.xlabel('Time [s]')
plt.ylabel('Feature number')
plt.title('MFCC chart')
plt.show()
def _GenerateSpectrogram(wavefile, timestamp): """Generates a spectrogram that works with the recorded sound""" metadata_path = SystemState.AudioState.metadata_path filename = metadata_path + timestamp + '.png' signal = wavefile.readframes(-1) signal = numpy.fromstring(signal, 'Int16') framerate = wavefile.getframerate() plt.title(time.ctime(float(timestamp)), fontsize=24) plt.subplot(111) plt.specgram(signal, Fs=framerate, NFFT=128, noverlap=0) plt.savefig(filename, dpi=100, figsize=(8,6), format='png') plt.close()
def plot_me(signal, MySampleRate, NFFT = 8192, noverlap = 1024):
a = plt.subplot(2, 1, 1)
plt.title("Original signal")
plt.xlabel("s")
plt.ylabel("Hz")
plt.specgram(signal[0], NFFT = NFFT, Fs = MySampleRate, noverlap = noverlap )
plt.colorbar()
a = plt.subplot(2, 1, 2)
plt.title("Processed signal")
plt.xlabel("s")
plt.ylabel("Hz")
plt.specgram(signal[1], NFFT = NFFT, Fs = MySampleRate, noverlap = noverlap )
plt.colorbar()
def plot(inputs, outputs, SampleRate=44100, NFFT=8192, noverlap=1024):
pyplot.figure()
if len(inputs) > 0:
a = pyplot.subplot(2, len(inputs), 1)
pyplot.title("Input L")
pyplot.specgram(inputs[0], NFFT=NFFT, Fs=SampleRate, noverlap=noverlap)
# pyplot.plot(inputs[0])
if len(inputs) > 1:
a = pyplot.subplot(2, 2, 2)
pyplot.title("Input R")
pyplot.specgram(inputs[1], NFFT=NFFT, Fs=SampleRate, noverlap=noverlap)
# pyplot.plot(inputs[1])
if len(outputs) > 0:
a = pyplot.subplot(2, len(outputs), len(outputs) + 1)
pyplot.title("Output L")
pyplot.specgram(outputs[0], NFFT=NFFT, Fs=SampleRate, noverlap=noverlap)
# pyplot.plot(outputs[0])
if len(outputs) > 1:
a = pyplot.subplot(2, 2, 4)
pyplot.title("Output R")
pyplot.specgram(outputs[1], NFFT=NFFT, Fs=SampleRate, noverlap=noverlap)
# pyplot.plot(outputs[1])
return pyplot
def spectrogram_ridges(chan,gap_thresh = 50,min_length = 150):
'''
Identifies fractures in the signal based on the spectrogram.
Connects local maxima for each frequency bin of the spectrogram matrix, .
Looks for vertical lines of a given length within the frequency content.
The goal is to find broadband noises within the signal (fractures).
Inputs:
chan - (nparray) input signal array
optional
gap_thresh (int) the maximum number of freq bins that can be skipped,
while still considering the ridge line connected.
min_length (int) the minumum length of ridge lines to be considered a
fracture.
Outputs:
fractures (list) indicies of the identified fractures within the signal
'''
fractures = []
Pxx, freqs, bins, im = plt.specgram(chan, NFFT=512, Fs=48000, noverlap=0)
ridge_lines = identify_ridge_lines(Pxx, 0*np.ones(len(bins)), gap_thresh)
for x in ridge_lines:
if len(x[1]) > min_length:
fractures.append(bins[x[1][0]])
plt.plot(bins[x[1][-10:]],freqs[len(freqs)-x[0][-10:]-1],'b')
return fractures
def process_image(file_name, enlarge = True, image_height = 129, image_width = 23):
'''Retrieves time data from the aiff file and compute the spectogram for time_data'''
'''enlarge: gives option to resize the image to new dimensions WxH by interpolation'''
if file_name.endswith('.aiff'):
f = aifc.open(file_name, 'r')
str_frames = f.readframes(f.getnframes())
Fs = f.getframerate()
time_data = np.fromstring(str_frames, np.short).byteswap()
f.close()
Pxx, freqs, bins, im = plt.specgram(time_data,NFFT=256,Fs=Fs,noverlap=90,cmap=plt.cm.gist_heat)
Pxx = Pxx[[freqs<250.]] # Right-whales call occur under 250Hz
#print Pxx.shape
from scipy.misc import imresize
from sklearn import preprocessing
if enlarge: #change image size
Pxx_prep = imresize(np.log10(Pxx),(image_height,image_width), interp= 'lanczos').astype('float32')
#Pxx_prep = imresize(Pxx,(image_height,image_width), interp= 'lanczos').astype('float32')
else: #image size not changed
Pxx_prep = np.log(Pxx).astype('float32')
#Pxx_prep = preprocessing.MinMaxScaler().fit_transform(Pxx_prep) #rescale to 0-1
Pxx_prep = preprocessing.StandardScaler(copy=True, with_mean=True, with_std=True).fit_transform(Pxx_prep) #rescale by std
Pxx_ = (Pxx_prep*255.0).astype(int)
# Returning raw values to perform operations. Used to obtain raw data for ipynb
#Pxx_ = Pxx_prep
#Pxx_ = Pxx
return Pxx_
else:
print("Error in file: "+ file_name + "...\n")
pass
def compute_specgram(data_loc,train_folder,file_name):
'''Retrieves time data from the aiff file and compute the spectogram for time_data'''
if not os.path.isfile(data_loc + '/' + train_folder + '/specgrams/' + file_name.split('.')[0] + '.png'):
try:
plt.figure(figsize=(18.,16.), dpi=50) #900x800
f = aifc.open(os.path.join(data_loc,train_folder, file_name), 'r')
str_frames = f.readframes(f.getnframes())
#Fs = f.getframerate()
Fs= 4000
time_data = np.fromstring(str_frames, np.short).byteswap()
f.close()
# Pxx is the segments x freqs array of instantaneous power, freqs is
# the frequency vector, bins are the centers of the time bins in which
# the power is computed, and im is the matplotlib.image.AxesImage
# instance
# spectrogram of file
Pxx, freqs, bins, im = plt.specgram(time_data,Fs=Fs,noverlap=90,cmap=plt.cm.gist_heat)
plt.axis('off')
plt.savefig(data_loc + '/'+ train_folder + '/specgrams/'+ file_name.split('.')[0] + '.png', bbox_inches='tight')
plt.close()
except ValueError:
print("Error in file: "+ file_name + "...\n")
def graph_spectrogram(wav_file, wav_folder):
name_save = wav_file.replace(".wav", ".png")
name_save_cv2 = wav_file.replace(".wav", "_cv2.png")
rate, data = get_wav_info(wav_file)
nfft = 256 # Length of the windowing segments
fs = 256 # Sampling frequency
plt.clf()
pxx, freqs, bins, im = plt.specgram(data, nfft, fs)
plt.axis('off')
plt.gray()
plt.savefig(name_save,
dpi=50, # Dots per inch
frameon='false',
aspect='normal',
bbox_inches='tight',
pad_inches=0)
# Expore plote as image
fig = plt.gcf()
fig.canvas.draw()
# Get the RGBA buffer from the figure
w, h = fig.canvas.get_width_height()
buf = np.fromstring(fig.canvas.tostring_rgb(), dtype=np.uint8)
buf.shape = (w, h, 3)
# canvas.tostring_argb give pixmap in ARGB mode. Roll the ALPHA channel to have it in RGBA mode
# buf = np.roll(buf, 2)
cv2.imwrite(name_save_cv2, buf)
def harmonics():
synth = WaveSynth()
freq = 1500
num_harmonics = 6
h_all = synth.harmonics(freq, 1, [(n, 1/n) for n in range(1, num_harmonics+1)])
even_harmonics = [(1, 1)] # always include fundamental tone harmonic
even_harmonics.extend([(n, 1/n) for n in range(2, num_harmonics*2, 2)])
h_even = synth.harmonics(freq, 1, even_harmonics)
h_odd = synth.harmonics(freq, 1, [(n, 1/n) for n in range(1, num_harmonics*2, 2)])
h_all.join(h_even).join(h_odd)
import matplotlib.pyplot as plot
plot.title("Spectrogram")
plot.ylabel("Freq")
plot.xlabel("Time")
plot.specgram(h_all.get_frame_array(), Fs=synth.samplerate, noverlap=90, cmap=plot.cm.gist_heat)
plot.show()
sin2 = 2 * numpy.sin(2 * numpy.pi * 200 * t)
# add interval of high pitched signal
masks = _get_mask(t, 2, 4, 1.0, 0.0) + \
_get_mask(t, 14, 15, 1.0, 0.0)
sin2 = sin2 * masks
noise = 0.02 * numpy.random.randn(len(t))
final_signal = sin1 + sin2 + noise
return final_signal
if __name__ == '__main__':
step = 0.001
sampling_freq = 1000
t = numpy.arange(0.0, 20.0, step)
y = generate_signal(t)
# we can visualize this now
# in time
ax1 = plt.subplot(211)
plt.plot(t, y)
# and in frequency
plt.subplot(212)
plt.specgram(y,
NFFT=1024,
noverlap=900,
Fs=sampling_freq,
cmap=plt.cm.gist_heat)
plt.show()
plt.ylabel(r'$\mu$V',ha='left',rotation='horizontal')
ax = plt.gca()
for loc, spine in ax.spines.items():
if loc in ['right', 'top']:
spine.set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.yaxis.set_ticks_position('left')
plt.axes([.40,.60,.57,.35])
Fs= 500
plotSpectrum(summed_LFP,Fs)
plt.title('FFT')
plt.axes([.40,.08,.57,.40])
powerSpectrum, freqenciesFound, time, imageAxis = plt.specgram(summed_LFP, 130, Fs)
plt.ylim(0, 100)
plt.yticks(range(0, 100,10))
plt.title('Spectograma')
plt.xlabel('Time')
plt.ylabel('Frequency')
fig.savefig('neuron-l'+str(ww)+'-f'+str(w)+'.png', dpi=300)
#plt.show()
sdr.sample_rate = Fs # Hz
sdr.center_freq = center_freq # Hz
sdr.gain = 'auto'
# Read specified number of complex samples from tuner.
# Real and imaginary parts are normalized in the range [-1,1]
samples = sdr.read_samples(N)
# Clean up the SDR device
sdr.close()
del (sdr)
# Convert samples to a numpy array
x1 = np.array(samples).astype("complex64")
# Plot spectogram
plt.specgram(x1, NFFT=2048, Fs=Fs)
plt.title("Samples spectogram (x1)")
plt.ylim(-Fs / 2, Fs / 2)
plt.savefig("x1_spec.png", bbox_inches='tight', pad_inches=0.5)
plt.close()
# To mix the data down, generate a digital complex exponential
# (with the same length as x1) with phase -F_offset/Fs
fc1 = np.exp(-1.0j * 2.0 * np.pi * F_offset / Fs * np.arange(len(x1)))
# Multiply x1 and the digital complex expontential (baseband)
x2 = x1 * fc1
# Generate plot of shifted signal
plt.specgram(x2, NFFT=2048, Fs=Fs)
plt.title("Shifted signal (x2)")
plt.xlabel("Time (s)")
#pp.yticks(np.arange(-15000,15000+5000,5000),fontsize = 12)
pp.ylim(amp_min, amp_max)
#pp.tick_params( axis='x', labelbottom='off')
#pp.tick_params( axis='y', labelleft='off')
pp.legend(fontsize='small', loc=1)
#Sonogram
pp.subplot(4, 1, 2)
#grid(True)
nfft_ = int(w[0] * 0.010)
Pxx, freqs, bins, im = pp.specgram(x1_part,
NFFT=int(w[0] * 0.008),
Fs=w[0],
noverlap=int(w[0] * 0.005))
pp.xlim(0, step_time + 0.001)
pp.yticks(np.arange(0, Fmax, 1000), fontsize=12)
pp.ylim(0, Fmax)
pp.ylabel('Frequency [Hz]')
pp.tick_params(axis='x', labelbottom='off')
pp.subplot(4, 1, 3)
#grid(True)
nfft_ = int(w[0] * 0.010)
Pxx, freqs, bins, im = pp.specgram(x1_part,
NFFT=int(w[0] * 0.008),
elif test == 2:
import matplotlib
matplotlib.use('TkAgg')
matplotlib.interactive(True)
import matplotlib.pyplot as plt
nperseg = int(p.SAMPLE_RATE * p.WINDOW_SIZE)
noverlap = int(p.SAMPLE_RATE * (p.WINDOW_SIZE - p.WINDOW_SHIFT))
wav_file = Path("../data/aspire/000/fe_03_00047-A-025005-025135.wav")
audio, _ = torchaudio.load(wav_file)
# pyplot specgram
audio = torch.squeeze(audio)
fig = plt.figure(0)
plt.specgram(audio, Fs=p.SAMPLE_RATE, NFFT=p.NFFT, noverlap=noverlap, cmap='plasma')
# implemented transformer - scipy stft
transformer = Spectrogram(sample_rate=p.SAMPLE_RATE, window_stride=p.WINDOW_SHIFT,
window_size=p.WINDOW_SIZE, nfft=p.NFFT)
data, f, t = transformer(audio)
mag = data[0]
fig = plt.figure(1)
plt.pcolormesh(t, f, np.log10(np.expm1(data[0])), cmap='plasma')
fig = plt.figure(2)
plt.pcolormesh(t, f, data[1], cmap='plasma')
#print(max(data[0].view(257*601)), min(data[0].view(257*601)))
#print(max(data[1].view(257*601)), min(data[1].view(257*601)))
# scipy spectrogram
f, t, z = sp.signal.spectrogram(audio, fs=p.SAMPLE_RATE, nperseg=nperseg, noverlap=noverlap,
signal = pois[ex2plot[poi]]
# wave
plt.figure()
plt.plot(np.linspace(0, len(signal) / sr, len(signal)), signal)
plt.ylabel('Amplitude')
plt.xlabel('Time (s)')
plt.title('POI {} in session {}, found in file #{}'.format(
poi, session, audio_filename[ex2plot[poi]]))
# When no figure is specified the current figure is saved
pdf_wave.savefig()
plt.close()
#spectrogram
plt.figure()
powerSpectrum, freqenciesFound, time, imageAxis = plt.specgram(
signal, Fs=sr)
plt.axis(ymin=0, ymax=10000)
plt.xlabel('Time')
plt.ylabel('Frequency')
plt.title('POI {} in session {}, found in file #{}'.format(
poi, session, audio_filename[ex2plot[poi]]))
# When no figure is specified the current figure is saved
pdf_spectrogram.savefig()
plt.close()
# Save .wav file of snippet
sf.write(
str(session) + '_' + 'POI' + str(poi) + '.wav', signal, sr)
print('Saved figures to PDF')
pdf_wave.close()
plt.xlabel('Time [sec]')
plt.show()
'''
# test finished
# test for mel spectrogram
signal_in = np.array(pd.to_numeric(df_EFR_85_aenu_retest.iloc[0, 0:4096]))
mel_S = librosa.feature.melspectrogram(y=signal_in, sr=9606)
plt.figure()
librosa.display.specshow(librosa.power_to_db(S, ref=np.max),
y_axis='mel',
fmax=8000,
x_axis='time')
plt.specgram(mel_S)
plt.colorbar(format='%+2.0f dB')
plt.title('Mel spectrogram')
plt.tight_layout()
plt.show()
# df_spectrogram
# spectrum fs=9606, nperseg=256, noverlap=128, nfft=9606
'''
df_spectrum_txt(signal_input=df_EFR_85_aenu_retest,
store_path='/home/bruce/Dropbox/Project/6.Result/data_spectrogram/EFR/85/',
store_name='EFR_85_r')
df_spectrum_txt(signal_input=df_EFR_85_aenu_test,
store_path='/home/bruce/Dropbox/Project/6.Result/data_spectrogram/EFR/85/',
store_name='EFR_85_t')
# and choose a window that minimizes "spectral leakage"
# (https://en.wikipedia.org/wiki/Spectral_leakage)
window = np.blackman(NFFT)
spec_cmap = 'ocean'
import matplotlib as mpl
mpl.use("Agg")
from matplotlib import pyplot as plt
# Plot the H1 spectrogram:
plt.figure(figsize=(10, 6))
spec_H1, freqs, bins, im = plt.specgram(strain_H1[indxt],
NFFT=NFFT,
Fs=fs,
window=window,
noverlap=NOVL,
cmap=spec_cmap,
xextent=[-deltat, deltat])
plt.xlabel('time (s)')
plt.ylabel('Frequency (Hz)')
plt.colorbar()
plt.axis([-deltat, deltat, 0, 2000])
plt.title('aLIGO H1 strain data near ' + eventname)
plt.savefig(sys.argv[1])
# Plot the L1 spectrogram:
# plt.figure(figsize=(10,6))
# spec_H1, freqs, bins, im = plt.specgram(strain_L1[indxt], NFFT=NFFT, Fs=fs, window=window,
# noverlap=NOVL, cmap=spec_cmap, xextent=[-deltat,deltat])
#!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Sat May 19 21:57:41 2018 @author: helton """ import matplotlib.pyplot as plt import numpy as np #%% create signal NFFT = 1024 dt = 0.01 Fs = int(1.0 / dt) f1 = 2 f2 = 8 t = np.arange(0, 10, dt) s = np.sin(2 * np.pi *f1* t) + 0.5*np.sin(2 * np.pi * f2*t) #%% plot values plt.subplot(311) plt.plot(t, s) plt.subplot(312) plt.psd(s, 512, Fs) plt.subplot(313) plt.specgram(s, NFFT, Fs, noverlap=100) plt.show()
N = 512
hammingWindow = np.hamming(N)
samplingrate = 5000
length = (end - start) / samplingrate
# FFTで用いるハミング窓
hammingWindow = np.hamming(N)
#plt.figure(figsize=(7, 2))
# スペクトログラムを描画
plt.subplot(2, 1, 2)
pxx, freqs, bins, im = plt.specgram(specdataa,
NFFT=N,
Fs=samplingrate,
noverlap=N - 1,
window=hammingWindow,
xextent=(starttime, endtime))
axis([starttime, starttime + length, 0, samplingrate / 2])
xlabel("time [second]")
plt.ylim(0, 1024)
ylabel("frequency [Hz]")
plt.colorbar(orientation='horizontal')
plt.savefig('B39LFP' + sys.argv[1] + '-' + sys.argv[2] + sys.argv[3] + '.png',
dpi=300)
#plt.savefig('B39LFP'+ sys.argv[1] +'-'+ sys.argv[2] + sys.argv[3] + '.png',dpi=300)
#plt.savefig('B39'+ sys.argv[1] +'-'+ sys.argv[2] +'ripple-spec.png',dpi=300)
#plt.savefig('B39'+ sys.argv[1] +'-'+ sys.argv[2] +'spec-ripple.png',dpi=300)
for file in os.listdir(
directory
): # This loop will carry on going as long as there are more files to process.
filename = os.fsdecode(file)
if filename.endswith(".wav"):
# print(filename)
# print(os.path.join(directory, filename))
file_to_process = os.path.join(folder3, filename)
# print(file_to_process)
if os.path.isfile(file_to_process):
print(
"From create_spectogram .... We found a wav file filtered.wav ....... "
)
samplingFrequency, signalData = wavfile.read(file_to_process)
plot.rcParams['figure.figsize'] = [6.5, 5.5]
plot.subplot(211)
plot.specgram(signalData, Fs=samplingFrequency, cmap='twilight')
# plot.xlabel('Time, seconds')
# plot.ylabel('Frequency')
plot.savefig(
'/home/tegwyn/ultrasonic_classifier/images/spectograms/specto.png',
bbox_inches='tight')
# plot.show()
# sys.exit()
# Exit with status os.EX_OK
# using os._exit() method
# The value of os.EX_OK is 0
os._exit(os.EX_OK)
def get_spectrogram(audio_file): sample_rate, X = wav.read(audio_file) print (sample_rate, X.shape ) a,b,c,d = plt.specgram(X, Fs=sample_rate, xextent=(0,30)) return a,b,c,d,plt
def get_tsp(N, Fs, flg_ud=1, flg_eval=0):
if np.log2(N) != int(np.log2(N)):
print "TSP length must be power of 2"
return 0
elif N<512:
print "TSP length is too small"
return 0
if flg_ud != 1 and flg_ud != 0:
print "TSP up and down flag is invalied"
return 0
# TSP parameters
N_set = [512, 1024, 2048, 4096, 8192, 16384]
stretch_set = [7, 10, 12, 13, 14, 15]
if N in N_set:
stretch = float(stretch_set[N_set.index(N)])
elif N>16384:
stretch = 15.0
M = int((stretch/32.0)*float(N))
t = [float(ind)/float(Fs) for ind in range(0,N)]
tsp_spec = np.zeros(N, dtype=complex)
itsp_spec = np.zeros(N, dtype=complex)
tsp_spec[0] = 1
tsp_spec[N/2] = np.exp(float(flg_ud*2-1)*1j*float(M)*np.pi)
itsp_spec[0] = 1.0/tsp_spec[0]
itsp_spec[N/2] = 1.0/tsp_spec[N/2]
for i in np.arange(1,N/2):
tsp_spec[i] = np.exp(float(flg_ud*2-1)*1j*4*float(M)*np.pi*(float(i-1)**2)/(float(N)**2))
itsp_spec[i] = 1.0/tsp_spec[i]
tsp_spec[N-i] = np.conjugate(tsp_spec[i])
itsp_spec[N-i] = 1.0/tsp_spec[N-i]
tsp_sig = (np.fft.ifft(tsp_spec,N)).real
itsp_sig = (np.fft.ifft(itsp_spec,N)).real
# Circular shift
if flg_ud == 1:
tsp_sig = np.roll(tsp_sig, -(N/2-M))
itsp_sig = np.roll(itsp_sig, N/2-M)
elif flg_ud == 0:
tsp_sig = np.roll(tsp_sig, N/2-M)
itsp_sig = np.roll(itsp_sig, -(N/2-M))
# Evaluation
if flg_eval:
print "Evaluating TSP signal..."
imp_eval_spec = np.fft.fft(tsp_sig,N)*np.fft.fft(itsp_sig,N)
imp_eval = np.fft.ifft(imp_eval_spec,N)
imp_eval_power = 20*np.log10(np.roll(np.abs(imp_eval), N/2))
plt.figure()
plt.plot(t, tsp_sig)
plt.xlabel("Time [s]")
plt.ylabel("Amplitude")
plt.figure()
plt.plot(t, itsp_sig)
plt.xlabel("Time [s]")
plt.ylabel("Amplitude")
stft_len = 256
stft_overlap = 128
stft_win = np.hamming(stft_len)
plt.figure()
pxx, stft_freq, stft_bin, stft_t = plt.specgram(tsp_sig, NFFT=stft_len, Fs=Fs, window=stft_win, noverlap=stft_overlap)
plt.axis([0, N/Fs, 0, Fs/2])
plt.xlabel("Time [s]")
plt.ylabel("Frequency [Hz]")
plt.figure()
plt.plot(imp_eval_power)
plt.ylabel("[dB]")
#plt.show()
return (tsp_sig, itsp_sig)
'cycle_ratio': 1.,
'attack_ratio': 0.,
'decay_ratio': 0.,
'ramp_on': False,
'bkgrd_noise': 0.
}
if __name__ is '__main__':
fs = 100
f0 = 1.
Dur = 5.
nt = int(Dur * fs)
f1 = 10
s = [
el for el in signalgenerator(which='sweep',
tsig=Dur,
noisy=0.01,
fs=fs,
f0=f0,
f1=f1,
A=2,
A1=-90)()
]
from waves import wavwrite
wavwrite(s, fs, 'sweep', normalize=True)
from matplotlib.pyplot import specgram, cm
specgram(s, NFFT=2**10, cmap=cm.bone_r)
from pyphs.plots.singleplots import singleplot
t = [el / float(fs) for el in range(nt)]
singleplot(t, (s, ))
def plotSpecgram(data, rate, title):
NFFT = 1024
Pxx, freqs, bins, im = plt.specgram(data, NFFT, Fs=rate)
plt.title(title)
plt.ylabel("Frecuencia [hz]")
plt.show()
def savepdf(self):
fig = plt.figure(figsize=(1000, 1000))
if (self.fname[0].endswith('.wav')):
plt.subplot(2, 2, 1)
plt.plot(self.data, linewidth=0.5, scalex=True)
plt.subplot(2, 2, 2)
plt.specgram(self.data,
Fs=self.fs,
cmap=self.comboBox.currentText())
plt.subplot(2, 2, 3)
plt.plot(self.InversedData, linewidth=0.5, scalex=True)
plt.subplot(2, 2, 4)
plt.specgram(self.InversedData.real,
Fs=self.fs,
cmap=self.comboBox.currentText())
if not (self.fname[0].endswith('.wav')):
index = (len(self.data) - 1) - ((len(self.data) - 1) % 3)
spectrogramData = []
for i in range(0, 3):
if (self.checkBox[i].isChecked() == True):
if i == 0:
plt.subplot(3, 2, 1)
spectrogramData = list(self.data[index][0:])
plt.plot(spectrogramData, linewidth=0.5, scalex=True)
plt.subplot(3, 2, 2)
elif i == 1:
if (len(self.data) - 1 - index >= 1):
plt.subplot(3, 2, 3)
spectrogramData = list(self.data[index + 1][0:])
plt.plot(spectrogramData,
linewidth=0.5,
scalex=True)
plt.subplot(3, 2, 4)
else:
plt.subplot(3, 2, 3)
spectrogramData = list(self.data[index - 2][0:])
plt.plot(spectrogramData,
linewidth=0.5,
scalex=True)
plt.subplot(3, 2, 4)
else:
if (len(self.data) - 1 - index == 2):
plt.subplot(3, 2, 5)
spectrogramData = list(self.data[index + 2][0:])
plt.plot(spectrogramData,
linewidth=0.5,
scalex=True)
plt.subplot(3, 2, 6)
else:
plt.subplot(3, 2, 5)
spectrogramData = list(self.data[index - 1][0:])
plt.plot(spectrogramData,
linewidth=0.5,
scalex=True)
plt.subplot(3, 2, 6)
plt.specgram(spectrogramData, Fs=250)
plt.subplots_adjust(bottom=0.1, right=0.9, top=1.0)
plt.show()
plt.close()
fn, _ = QtWidgets.QFileDialog.getSaveFileName(
self, "Export PDF", None, "PDF files(.pdf);;AllFiles()")
if fn:
if QtCore.QFileInfo(fn).suffix() == "":
fn += ".pdf"
fig.savefig(fn)
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
import sys
import numpy as np
import matplotlib.pyplot as plt
if __name__ == "__main__":
data = np.memmap(sys.argv[1], mode='r', dtype=np.dtype('<h'))
data = (data << 4) >> 4
# data = data[350000:1000000]
dataMix = np.multiply(
data,
np.cos((np.arange(data.size) * 2 * np.pi * 120.0e+6 / 240.0e+6) +
0.06287))
plt.specgram(dataMix, NFFT=1024, Fc=2380e6, Fs=240e+6)
plt.show()
fft_data = rfft(data)
fd_axis = rate / len(data) * np.arange(0, len(data))
fft_refine = rfft(refine_sig)
fr_axis = rate / len(refine_sig) * np.arange(0, len(refine_sig))
plt.figure('data_fft')
plt.plot(fd_axis, abs(fft_data))
plt.ylabel('Magnitude')
plt.xlabel('Frequency')
plt.figure('refine_fft')
plt.plot(fr_axis, abs(fft_refine))
plt.ylabel('Magnitude')
plt.xlabel('Frequency')
plt.figure('Spectogram Original')
Pxx, freqs, bins, im = plt.specgram(data, pad_to=512, Fs=rate)
plt.figure('Spectogram Refine')
Pxx, freqs, bins, im = plt.specgram(refine_sig, pad_to=512, Fs=rate)
plt.show()
import wave
import matplotlib.pyplot as plt
import numpy as np
import os
filepath = "..\\融合wav\\" #添加路径
filename = os.listdir(filepath)
plt.rcParams['font.sans-serif'] = ['KaiTi'] # 指定默认字体
plt.rcParams['axes.unicode_minus'] = False # 解决保存图像是负号'-'显示为方块的问题
for file in filename:
f = wave.open(filepath + file, 'rb')
params = f.getparams()
nchannels, sampwidth, framerate, nframes = params[:4]
strData = f.readframes(nframes) # 读取音频，字符串格式
waveData = np.fromstring(strData, dtype=np.int16) # 将字符串转化为int
waveData = waveData * 1.0 / (max(abs(waveData))) # wave幅值归一化
waveData = np.reshape(waveData, [nframes, nchannels]).T
f.close()
# plot the wave
plt.specgram(waveData[0],
Fs=framerate,
scale_by_freq=True,
sides='default')
plt.title(file + '语谱图')
plt.ylabel('Frequency(Hz)')
plt.xlabel('Time(s)')
plt.savefig('..\\语谱图\\' + file + '.png')
plt.close()
print(file, "语谱图已保存")
def _spectrum():
global TIME_STAMP, POSITION, PARAMETER
# wave
wave_tmp, split_tmp = waveform_combo.get(), split_segments.get()
wave = FILE_DATA[wave_tmp][:] # obtain waveform data
shp = wave.shape
wave_array = wave.reshape(shp[0] * shp[1],
) # reshape field data to one dimensional array
split_tmp = int(split_tmp)
wave_segment = wave_array[POSITION[split_tmp - 1] + PARAMETER:
POSITION[split_tmp]] # chosed wave segment
time_segment = TIME_STAMP[
POSITION[split_tmp - 1] +
PARAMETER:POSITION[split_tmp]] # corresponding time segment
fce = Q / (M * 2 * np.pi) * wave_segment * 1e-12
# FFT
fs, nfft, noverlap = fs_entry.get(), nfft_entry.get(), noverlap_entry.get(
) # obtain FFT setting
fs, nfft, noverlap = int(fs), int(nfft), int(noverlap)
# figure
ylim_d, ylim_u = ylim_entry_1.get(), ylim_entry_2.get(
) # obtain plot setting
clim_d, clim_u = clim_entry_1.get(), clim_entry_2.get()
fig_w, fig_h = figsize_entry_1.get(), figsize_entry_2.get()
ylim_u, ylim_d, clim_u, clim_d, fig_w, fig_h = int(ylim_u), int(ylim_d), \
int(clim_u), int(clim_d), int(fig_w), int(fig_h)
# plot
method = method_button['text'] # obtain value of method button
plt.figure(figsize=(fig_w, fig_h))
cmap = cmap_combo.get()
cmap_index = {
'autumn': plt.autumn, # colormap type selection dictionary
'bone': plt.bone,
'copper': plt.copper,
'cool': plt.cool,
'flag': plt.flag,
'gray': plt.gray,
'hot': plt.hot,
'hsv': plt.hsv,
'inferno': plt.inferno,
'jet': plt.jet,
'magma': plt.magma,
'nipy_spectral': plt.nipy_spectral,
'pink': plt.pink,
'plasma': plt.plasma,
'prism': plt.prism,
'spring': plt.spring,
'summer': plt.summer,
'virdis': plt.viridis,
'winter': plt.winter
}
cmap_index[cmap]() # choose one cmap type
spec_data, spec_freq, spec_time, spec_img = plt.specgram(
wave_segment, NFFT=nfft, Fs=fs, noverlap=noverlap) # specgram
ax_x, ax_y = plt.gca().get_position().x0, plt.gca().get_position(
).y0 # left_bottom cornor position of current axes
fce_fft = []
if method == 'specgram': # specgram method
time_tick = []
for time in range(spec_time.shape[0]):
time_trans = datetime.datetime.fromtimestamp(
time_segment[int((time + 0.5) * (nfft - noverlap))]
) # find real time corresponding to FFT position
fce_fft.append(fce[int((time + 0.5) * (nfft - noverlap))])
time_tick.append(
time_trans.strftime('%H:%M:%S') + '\n' +
time_trans.strftime('%f') + '\n' +
time_trans.strftime('%Y.%m.%d')) # create time ticks
fce_fft = np.array(fce_fft)
# print(fce_fft)
plt.plot(spec_time,
fce_fft,
color="k",
linestyle="--",
label="electron cyclotron freq.")
plt.plot(spec_time,
fce_fft / 2,
color="k",
linestyle="--",
label="half electron cyclotron freq.")
plt.xticks(list(spec_time), time_tick) # set time ticks
plt.locator_params(axis='x', nbins=10)
plt.figtext(ax_x - 0.05, ax_y - 0.05, 'Time:\nms:\nDate:')
plt.colorbar()
plt.clim(clim_d, clim_u)
else: # pcolormesh method
plt.clf()
time_tick = []
fce_fft = []
for time in range(spec_time.shape[0]):
time_tick.append(time_segment[int(
(time + 0.5) *
(nfft -
noverlap))]) # find real time corresponding to FFT position
fce_fft.append(fce[int((time + 0.5) * (nfft - noverlap))])
fce_fft = np.array(fce_fft)
time_tick = np.array(time_tick)
time_tick = time_tick * 1e9 # increase precision
time_tick_final = time_tick.astype(
'datetime64[ns]'
) + TIME_ERROR # convert float to numpy.datetime64 type
plt.pcolormesh(time_tick_final, spec_freq, spec_data,
norm=LogNorm()) # pcolormesh
# plt.plot(spec_time, fce_fft, color="k", linestyle="--", label="electron cyclotron freq.")
# plt.plot(spec_time, fce_fft/2, color="k", linestyle="--", label="half electron cyclotron freq.")
plt.figtext(ax_x - 0.05, ax_y - 0.02, 'Time:')
plt.colorbar()
plt.clim(10**clim_d, 10**clim_u)
plt.ylim(ylim_d, ylim_u)
plt.title(FILE_NAME.upper() + ' ' + wave_tmp[0:2] + ' Spectrum')
plt.ylabel('Frequency (Hz)')
plt.xlabel('Time (UTC)')
plt.show()
Parameters
----------
num_samples : int
Number of Samples to Return in an Array ; If -1, then Return All
Returns
-------
A Portion of the Sample History : (num_samples) ndarray
"""
if 0 < num_samples < len(self.history):
return self.history.take(range(self.history_index,
self.history_index + num_samples),
mode="wrap")
return self.history.take(
range(self.history_index, self.history_index + len(self.history)),
mode="wrap",
)
if __name__ == "__main__":
import matplotlib.pyplot as plt
thread = RadioThread()
thread.start()
sleep(1)
powerSpectrum, freqenciesFound, time, imageAxis = plt.specgram(
thread.get_sample_history(), Fc=100000000, Fs=2000000)
plt.xlabel("Time")
plt.ylabel("Frequency")
plt.show()
def plot(self,
i=None,
ax=None,
getNumEvents=False,
getLevels=False,
getPlotOpts=False,
overlay=False,
**kwargs):
plotOpts = {'LabelsOff': False, 'NormalizeTrial': False, 'RewardMarker': 3,\
'TimeOutMarker': 4, 'PlotAllData': False, 'TitleOff': False,\
'FreqLims': [], 'RemoveLineNoise': False, 'RemoveLineNoiseFreq': 50,\
'LogPlot': False, 'TFfftWindow': 256, 'TFfftOverlap': 150,\
'TFfftPoints': 256, 'TFfftStart': 500, 'TFfftFreq': 150,\
"Type": DPT.objects.ExclusiveOptions(["FreqPlot", 'Signal', 'TFfft'], 1)}
for (k, v) in plotOpts.items():
plotOpts[k] = kwargs.get(k, v)
plot_type = plotOpts['Type'].selected()
if getPlotOpts:
return plotOpts
if getLevels:
return ['trial', 'all']
if getNumEvents:
if plotOpts['PlotAllData']: # to avoid replotting the same data.
return 1, 0
if plot_type == 'FreqPlot' or plot_type == 'Signal' or plot_type == 'TFfft':
if i is not None:
nidx = i
else:
nidx = 0
return self.numSets, nidx
if ax is None:
ax = plt.gca()
if not overlay:
ax.clear()
sRate = self.samplingRate
VMPlot.create(self,
trial_idx=i,
ax=ax,
plotOpts=plotOpts,
marker_multiplier=30)
if i == None or i == 0:
rlfp = RPLLFP()
self.data = rlfp.data
if plot_type == 'Signal':
data = self.data[self._data_timestamps]
if plotOpts['RemoveLineNoise']:
data = removeLineNoise(data, plotOpts['RemoveLineNoiseFreq'],
sRate)
ax.plot(self.get_data_timestamps_plot(), data)
self.plot_markers()
elif plot_type == 'FreqPlot':
if plotOpts['PlotAllData']:
data = self.data
else:
data = self.data[self._data_timestamps]
if plotOpts['RemoveLineNoise']:
data = removeLineNoise(data, plotOpts['RemoveLineNoiseFreq'],
sRate)
datam = np.mean(data)
fftProcessed, f = computeFFT(data - datam, sRate)
ax.plot(f, fftProcessed)
if plotOpts['LogPlot']:
ax.set_yscale('log')
elif plot_type == 'TFfft':
if plotOpts['PlotAllData']:
dIdx = self.trialIndices[:, -1] - self.trialIndices[:, 0]
mIdx = np.amax(dIdx)
spTimeStep = plotOpts['TFfftWindow'] - plotOpts['TFfftOverlap']
spTimeBins = int(
round(
np.floor(mIdx / spTimeStep) -
plotOpts['TFfftOverlap'] / spTimeStep))
nFreqs = (plotOpts['TFfftPoints'] / 2) + 1
ops = np.zeros((int(nFreqs), spTimeBins))
opsCount = np.zeros((int(nFreqs), spTimeBins))
for j in range(self.numSets):
tftIdx = self.trialIndices[j, :]
data = self.data[int(tftIdx[0]) - 1:int(tftIdx[-1])]
if plotOpts['RemoveLineNoise']:
data = removeLineNoise(data,
plotOpts['RemoveLineNoiseFreq'],
sRate)
datam = np.mean(data)
window = np.hamming(plotOpts['TFfftWindow'])
[s, f, t,
im] = plt.specgram(data - datam,
window=window,
NFFT=plotOpts['TFfftPoints'],
noverlap=plotOpts['TFfftOverlap'],
Fs=sRate)
psIdx = range(0, s.shape[1])
ops[:, psIdx] = ops[:, psIdx] + s
opsCount[:, psIdx] = opsCount[:, psIdx] + 1
x = np.arange(
0, mIdx - 1,
plotOpts['TFfftWindow'] - plotOpts['TFfftOverlap'])
x = x[:len(x) - 2]
y = np.arange(0, (sRate / 2) + 1,
sRate / plotOpts['TFfftPoints'])
i = ops / opsCount
im = ax.pcolormesh(x, y, i)
ax.set_ylim([0, plotOpts['TFfftFreq']])
# Uncomment colorbar line after PanGUI is fixed.
# plt.colorbar(im, ax = ax)
else:
tIdx = self.trialIndices[i, :]
idx = [
tIdx[0] - ((plotOpts['TFfftStart'] + 500) / 1000 * sRate),
tIdx[0] - ((plotOpts['TFfftStart'] + 1) / 1000 * sRate)
]
data = self.data[int(idx[0]) - 1:int(idx[-1])]
datam = np.mean(data)
window = np.hamming(plotOpts['TFfftWindow'])
[s, f, t, im] = plt.specgram(data - datam,
window=window,
NFFT=plotOpts['TFfftPoints'],
noverlap=plotOpts['TFfftOverlap'],
Fs=sRate)
Pmean = np.mean(s, axis=1)
Pstd = np.std(s, axis=1, ddof=1)
idx = [(tIdx[0] - (plotOpts['TFfftStart'] / 1000 * sRate)),
tIdx[1], tIdx[2]]
data = self.data[int(idx[0]) - 1:int(idx[-1])]
datam = np.mean(data)
window = np.hamming(plotOpts['TFfftWindow'])
[s, f, t, im] = plt.specgram(data - datam,
window=window,
NFFT=plotOpts['TFfftPoints'],
noverlap=plotOpts['TFfftOverlap'],
Fs=sRate)
spec_Pnorm = np.zeros(s.shape)
for row in range(s.shape[0]):
spec_Pnorm[row, :] = (s[row, :] - Pmean[row]) / Pstd[row]
spec_T = np.arange(
(-plotOpts['TFfftStart'] / 1000),
t[-1] - (plotOpts['TFfftStart'] / 1000 +
plotOpts['TFfftWindow'] / sRate / 2) +
(plotOpts['TFfftWindow'] - plotOpts['TFfftOverlap']) /
sRate,
(plotOpts['TFfftWindow'] - plotOpts['TFfftOverlap']) /
sRate)
ax.axvline(0, color='k')
ax.axvline((self.timeStamps[i][1] - self.timeStamps[i][0]) *
30000 / 1000,
color='k')
im = ax.pcolormesh(spec_T, f, spec_Pnorm, vmin=-10, vmax=10)
ax.set_ylim([0, plotOpts['TFfftFreq']])
# Uncomment colour bar line after PanGUI is fixed
# plt.colorbar(im, ax = ax)
if not plotOpts['LabelsOff']:
if plot_type == 'FreqPlot':
ax.set_xlabel('Frequency (Hz)')
ax.set_ylabel('Magnitude')
elif plot_type == 'TFfft':
ax.set_xlabel('Time (s)')
ax.set_ylabel('Frequency (Hz)')
else:
ax.set_xlabel('Time (ms)')
ax.set_ylabel('Voltage (uV)')
if not plotOpts['TitleOff']:
channel = DPT.levels.get_shortname("channel", os.getcwd())[1:]
ax.set_title('channel' + str(channel))
if len(plotOpts['FreqLims']) > 0:
if plot_type == 'FreqPlot':
ax.xlim(plotOpts['FreqLims'])
elif plot_type == 'TFfft':
ax.ylim(plotOpts['FreqLims'])
return ax
def main():
x1 = sinwave(A1 , f1)
N = 4096
# Multiplicar por um numero grande para aumentar o numero "empurrar a virgula"
x1Int = np.int16(x1 * 2 ** 13)
plt.figure(facecolor='w', figsize=(20, 30))
plt.plot(t[0 : 1010], x1[0 : 1010], 'k')
plt.title('Sinal')
plt.axis('tight')
plt.xlabel(r'$t$ (segundos)')
plt.ylabel('Intensidade')
plt.savefig("lab2ex1_Sinal.png", bbox_inches='tight', transparent = False)
plt.show()
# Ouvir o som. Nao e' obrigatorio
soundPlay.soundPlay(x1 , fs)
filename = 'x1.wav'
wavfile.write(filename, fs , x1Int)
xfft = np.fft.fft(x1[0 : N])
freq1 = np.fft.fftfreq(len(xfft)) * fs
x1mag = np.abs(xfft) / N
Xfase = np.angle(xfft)
#espectro amplitude
plt.figure(facecolor = 'w', figsize=(10 , 20))
plt.stem(freq1, x1mag, 'k', linewidth=3)
plt.axis([-1100 , 1100 , 0 , 2])
plt.ylabel('Espectro amplitude', fontsize = 18)
plt.xlabel('f(Hz)', fontsize = 18)
plt.xticks(fontsize = 22)
plt.yticks(fontsize = 22)
plt.grid()
plt.savefig("lab2ex1_espectroAmplitude.png", bbox_inches='tight', transparent = False)
plt.show()
#espectro fase
plt.figure(facecolor = 'w' , figsize=(30 , 20))
plt.stem(freq1, Xfase, 'k', linewidth = 3)
plt.axis([-1100 , 1100 , -np.pi , np.pi])
plt.ylabel('Espectro de fase', fontsize = 18)
plt.xlabel('f(Hz)', fontsize = 18)
plt.xticks(fontsize = 22)
plt.yticks(fontsize = 22)
plt.grid()
plt.savefig("lab2ex1_espectroFase.png" , bbox_inches = 'tight' , transparent = False)
plt.show()
plt.figure(facecolor = 'w' , figsize = (30 , 20))
plt.specgram(x1, NFFT=2 * N, Fs = fs, noverlap = 0)
plt.xlabel('Tempo(s)' , fontsize = 18)
plt.ylabel('f(Hz)' , fontsize = 18)
plt.axis([0 , 0.73 , 0 , 1000])
plt.savefig("lab2ex1_espectrograma.png" , bbox_inches = 'tight' , transparent = False)
plt.show()
# scale by the number of points so that the magnitude does not depend on the length
fourier = fourier / float(n)
#calculate the frequency at each point in Hz
freqArray = np.arange(0, (n / 2), 1.0) * (rate * 1.0 / n)
plt.plot(freqArray / 1000, 10 * np.log10(fourier), color='green')
plt.xlabel('Frequency (kHz)')
plt.ylabel('Power (dB)')
plt.show()
plt.figure(2, figsize=(8, 6))
plt.subplot(211)
Pxx, freqs, bins, im = plt.specgram(channel1,
Fs=rate,
NFFT=1024,
cmap=plt.get_cmap('autumn_r'))
cbar = plt.colorbar(im)
plt.xlabel('Time (s)')
plt.ylabel('Frequency (Hz)')
cbar.set_label('Intensity dB')
plt.subplot(212)
Pxx, freqs, bins, im = plt.specgram(channel2,
Fs=rate,
NFFT=1024,
cmap=plt.get_cmap('autumn_r'))
cbar = plt.colorbar(im)
plt.xlabel('Time (s)')
plt.ylabel('Frequency (Hz)')
cbar.set_label('Intensity (dB)')
plt.show()
def _plural():
global FILE_DATA, POSITION, PARAMETER, TIME_STAMP
split_tmp = split_segments.get()
split_tmp = int(split_tmp)
start, end = POSITION[split_tmp - 1] + PARAMETER, POSITION[split_tmp]
data_list = list(FILE_DATA)
wave_data_indices = [
i for i, s in enumerate(data_list) if '_waveform' in s
] # find all waveforms in current WFC data
wave_name = [data_list[j] for j in wave_data_indices]
# FFT
fs, nfft, noverlap = fs_entry.get(), nfft_entry.get(), noverlap_entry.get()
fs, nfft, noverlap = int(fs), int(nfft), int(noverlap)
# figure
ylim_d, ylim_u = ylim_entry_1.get(), ylim_entry_2.get()
clim_d, clim_u = clim_entry_1.get(), clim_entry_2.get()
fig_w, fig_h = figsize_entry_1.get(), figsize_entry_2.get()
ylim_u, ylim_d, clim_u, clim_d, fig_w, fig_h = int(ylim_u), int(ylim_d), \
int(clim_u), int(clim_d), int(fig_w), int(fig_h)
# plot
method = method_button['text']
plt.figure(figsize=(fig_w, fig_h))
cmap = cmap_combo.get()
cmap_index = {
'autumn': plt.autumn,
'bone': plt.bone,
'copper': plt.copper,
'cool': plt.cool,
'flag': plt.flag,
'gray': plt.gray,
'hot': plt.hot,
'hsv': plt.hsv,
'inferno': plt.inferno,
'jet': plt.jet,
'magma': plt.magma,
'nipy_spectral': plt.nipy_spectral,
'pink': plt.pink,
'plasma': plt.plasma,
'prism': plt.prism,
'spring': plt.spring,
'summer': plt.summer,
'virdis': plt.viridis,
'winter': plt.winter
}
cmap_index[cmap]()
num = len(wave_name)
spec_time_method1 = np.zeros(0)
time_tick_method1 = []
for index in range(num): # make subplots
time_tick = []
wave_component = FILE_DATA[wave_name[index]][:]
shp = wave_component.shape
wave_component_array = wave_component.reshape(shp[0] * shp[1], )
wave_component_segment = wave_component_array[start:end]
# fce = Q / (M * 2 * np.pi) * wave_component_segment * 1e-12
# fce_half = fce / 2
time_component_segment = TIME_STAMP[start:end]
plt.subplot(num, 1, index + 1)
spec_data_p, spec_freq_p, spec_time_p, spec_img_p = \
plt.specgram(wave_component_segment, NFFT=nfft, Fs=fs, noverlap=noverlap)
if method == 'specgram':
if index == num - 1:
for time in range(spec_time_p.shape[0]):
time_trans = datetime.datetime.fromtimestamp(
time_component_segment[int(
(time + 0.5) * (nfft - noverlap))])
time_tick.append(
time_trans.strftime('%H:%M:%S') + '\n' +
time_trans.strftime('%f') + '\n' +
time_trans.strftime('%Y.%m.%d'))
spec_time_method1 = spec_time_p
time_tick_method1 = time_tick
plt.colorbar()
plt.clim(clim_d, clim_u)
else:
for time in range(spec_time_p.shape[0]):
time_tick.append(time_component_segment[int(
(time + 0.5) * (nfft - noverlap))])
plt.cla()
time_tick = np.array(time_tick)
time_tick = time_tick * 1e9
time_tick_final = time_tick.astype('datetime64[ns]') + TIME_ERROR
plt.pcolormesh(time_tick_final,
spec_freq_p,
spec_data_p,
norm=LogNorm())
plt.colorbar()
plt.clim(10**clim_d, 10**clim_u)
plt.title(FILE_NAME.upper() + ' ' + wave_name[index][0:2].upper() +
' Spectrum')
plt.ylim(ylim_d, ylim_u)
plt.ylabel('Frequency (Hz)')
if index < num - 1:
plt.tick_params(axis='x',
which='both',
bottom=False,
top=False,
labelbottom=False)
ax_x, ax_y = plt.gca().get_position().x0, plt.gca().get_position().y0
if method == 'specgram':
plt.xticks(list(spec_time_method1), time_tick_method1)
plt.locator_params(axis='x', nbins=10)
plt.figtext(ax_x - 0.05, ax_y - 0.05, 'Time:\nms:\nDate:')
else:
plt.figtext(ax_x - 0.05, ax_y - 0.02, 'Time:')
plt.xlabel('Time (UTC)')
plt.show()
s2 = np.append(s2, sub2)
# шоб я ещё понимала, чем являются эти старт и стоп...
# тут изменение их значений, вроде, надо, чтобы
# на следующем шаге в s1 и s2 удобнее было добавлять нужные значения
start = stop + 1
stop = start + samplingFrequency
print('Секундочку, сейчас я это построю...')
# а тут всё это строится
# Plot the signal
# зачем я крашу график, на котором рисую сигнал? потому что могу!
# Потому что нашла эту фичу, пока гуглила, как работает subplot
# Кстати, если вам интересно, как называются разные цвета на графиках, то информация об этом есть
# тут https://undoshutdown.blogspot.com/2018/06/matplotlib-python.html
plot.subplot(211, facecolor='ivory')
plot.plot(s1, s2)
plot.xlabel('Номер измерения')
plot.ylabel('Амплитуда')
# Plot the spectrogram
plot.subplot(212)
# а вот сейчас я не понимать, почему они много разных переменных приравняли к одной штуковине, но оно же работает...
powerSpectrum, freqenciesFound, time, imageAxis = plot.specgram(
s2, Fs=samplingFrequency)
plot.xlabel('Время')
plot.ylabel('Частота')
plot.show()
def getFPeak( y, fs=1.0, fRange=None, nfft=None ) :
"""
Find the peak in the spectral power density of a signal, y.
USAGE:
[fp,t]=getFPeak( y, [fs=1], [fRange=[0 fs/2]], [nfft=sqrt(2*N)] )
where
y=signal to process, 1D array
fs=sampling frequency of y (Default=1)
fRange=Frequency range to look for peaks, in units of Fs (Default=0 to 0.5*fs)
nfft=Number of data points in each bin of y
output
fp=1D array of peak values at each time point
t=times corresponding to peak frequencies.
Ted Golfinopoulos, 18 July 2012
"""
ts=1/fs #Sampling time
#If no value for frequency range is specified, take all frequencies to Nyquist
if fRange is None :
fRange=[0.0, fs*0.5] #
fRange=[min(fRange), max(fRange)] #Make sure fRange is sorted as min/max.
if (max(fRange)>fs*0.5) :
raise IOError('Maximum of frequency range must be < Nyquist frequency')
if nfft is None :
nfft=sqrt(2*len(y))
nfft=pow(2,ceil(log2(nfft))) #Make sure nfft is a power of 2.
#Calculate spectrogram
[Pxx, F, T,im]=specgram(y, int(nfft), fs)
# print('Length of Pxx={0:d}'.format(len(Pxx)))
# print('Length of F={0:d}'.format(len(F)))
# print('Length of T={0:d}'.format(len(T)))
# print('NFFT={0:f}'.format(float(nfft)))
#Find peaks in spectrogram - search in each time bin of Pxx across all frequencies for a peak.
#Limit search to specified frequency range.
fp=zeros(len(T))-1 #Sentinel values for the peak.
# for P in transpose(Pxx) :
# print(F[P==max(P)])
# for i in range(0,size(Pxx,1)) :
# fp[i]=F[Pxx[:,i]==max(Pxx[:,i])]
temp=Pxx[logicAnd(F>fRange[0],F<fRange[1]),:]
Fsubset=F[logicAnd(F>fRange[0],F<fRange[1])]
# print('Size of reduced Pxx: {0:d}x{1:d} '.format(size(temp,0),size(temp,1)))
try :
fp=squeeze([ Fsubset[P==max(P)] for P in transpose(Pxx[logicAnd(F>fRange[0],F<fRange[1]),:]) ]) #Pull out frequency at which maximum power occurs for each time bin.
except : #Case where frequency bins have multiple entries at same max value.
# pdb.set_trace()
temp=[ Fsubset[P==max(P)] for P in transpose(Pxx[logicAnd(F>fRange[0],F<fRange[1]),:]) ] #Pull out frequency at which maximum power occurs for each time bin.
#Take first element whose value is equal to the maximum value for the relevant frequency bin.
fp=[f[0] for f in temp]
fp=squeeze(fp)
return fp, T
def main():
plt.figure(figsize=(10, 12))
plt.suptitle('Overview of Conversion Process for Ray Traced Energy Histograms')
plots_x = 2
plots_y = 4
ax = None
speed_of_sound = 340.0
acoustic_impedance = 400.0
room_volume = 10000.0
output_sample_rate = 44100.0
rt60 = 0.4
signal_length = rt60
# Generate and plot sequence
sequence = generate_dirac_sequence(speed_of_sound, room_volume, output_sample_rate, signal_length)
times = np.arange(len(sequence)) / output_sample_rate
ax = plt.subplot(plots_y, plots_x, 1)
ax.set_title('1. Poisson Dirac Sequence')
ax.set_xlabel('time / s')
ax.set_ylabel('amplitude')
ax.plot(times, sequence)
# Weight sequence by histograms
histogram_sr = 1000.0
histogram_steps = histogram_sr * signal_length
bands = 8
histogram = gen_histogram(np.linspace(histogram_steps, histogram_steps / 2, bands)) * 0.004
weighted = weight_sequence(histogram, histogram_sr, sequence, output_sample_rate, acoustic_impedance)
ax = plt.subplot(plots_y, plots_x, 2)
ax.set_title('2. Per-band Weighted Sequences')
ax.set_xlabel('time / s')
ax.set_ylabel('amplitude')
for i in weighted:
ax.plot(times, i)
# Plot weighted sequences in frequency domain
ax = plt.subplot(plots_y, plots_x, 3)
ax.set_title('3. Weighted Sequences in the Frequency Domain')
ax.set_xscale('log')
ax.set_xlabel('frequency / Hz')
ax.set_ylabel('modulus / dB')
for i in weighted:
frequency_domain = np.fft.rfft(i)
frequencies = np.fft.rfftfreq(len(i)) * output_sample_rate
ax.plot(frequencies, a2db(np.abs(frequency_domain) / len(i)))
# Plot filtered sequences in frequency domain
minf = 20.0 / output_sample_rate
maxf = 20000.0 / output_sample_rate
band_edges = band_edge_frequency(np.arange(bands + 1), bands, minf, maxf)
lower_edges = band_edges[:-1]
upper_edges = band_edges[1:]
ax = plt.subplot(plots_y, plots_x, 4)
ax.set_title('4. Filtered Sequences in the Frequency Domain')
ax.set_xscale('log')
ax.set_xlabel('frequency / Hz')
ax.set_ylabel('modulus / dB')
wf = width_factor(minf, maxf, bands, 1.0)
frequencies = np.fft.rfftfreq(len(sequence))
ffts = np.fft.rfft(weighted, axis=1)
for i in range(bands):
ffts[i] *= compute_bandpass_magnitude(frequencies, lower_edges[i], upper_edges[i], wf, 0)
for i in ffts:
ax.plot(frequencies * output_sample_rate, a2db(np.abs(i) / len(frequencies)))
# Plot filtered sequences in time domain
ax = plt.subplot(plots_y, plots_x, 5)
ax.set_title('5. Filtered Sequences in the Time Domain')
ax.set_xlabel('time / s')
ax.set_ylabel('amplitude')
iffts = np.fft.irfft(ffts, axis=1)
for i in reversed(iffts):
ax.plot(times, i)
# Plot final output
final_output = np.sum(iffts, axis=0)
ax = plt.subplot(plots_y, plots_x, 6)
ax.set_title('6. Summed Bands in the Time Domain')
ax.set_xlabel('time / s')
ax.set_ylabel('amplitude')
ax.plot(times, final_output)
# Plot spectrogram
ax = plt.subplot(plots_y, 1, plots_y)
ax.set_title('7. Spectrogram of Broadband Signal')
ax.set_xlabel('time / s')
ax.set_ylabel('frequency / Hz')
Pxx, freqs, bins, im = plt.specgram(final_output, NFFT=1024, Fs=output_sample_rate, noverlap=512)
plt.tight_layout()
plt.subplots_adjust(top=0.9)
plt.show()
if render:
plt.savefig(
'raytrace_process.svg',
bbox_inches='tight',
dpi=300,
format='svg')
if end-start < TIME_SCALE*Fs:
l = l+1
print(l)
continue
for i in range(start,end,TIME_SCALE*Fs):
j=j+1
new_start = i
new_end = i+TIME_SCALE*Fs
if i+TIME_SCALE*Fs > end:
new_start = end-TIME_SCALE*Fs
new_end = end
fig_name = get_fig_name(split_tmp, new_start, new_end, save_dict, save_name)
if os.path.exists(fig_name) == True:
continue
initFigure()
spec_data, spec_freq, spec_time, spec_img = plt.specgram(B[new_start:new_end], NFFT=nfft, Fs=Fs, noverlap=noverlap, scale='dB',cmap='jet')
time_array, fce, flag = time_setting(new_start,new_end)
if flag == 1:
continue
try:
plot_setting(spec_time,time_array,fce)
fce_plot(spec_time,fce)
except:
k = k+1
continue
saveFigure(fig_name)
print(wfc_name)
print(j)
print(k)
#import the pyplot and wavfile modules
import matplotlib.pyplot as plot
from scipy.io import wavfile
# Read the wav file (mono)
samplingFrequency, signalData = wavfile.read('test32bit.wav')
# Plot the signal read from wav file
plot.subplot(211)
plot.title('Spectrogram of a wav file')
plot.plot(signalData)
plot.xlabel('Sample')
plot.ylabel('Amplitude')
plot.subplot(212)
plot.specgram(signalData, Fs=samplingFrequency)
plot.xlabel('Time')
plot.ylabel('Frequency')
plot.show()
