def lpf(image, sigma, mode=2):
(Mx, My) = image.shape
if mode == 1:
kernel = matlab_style_gauss2D(image.shape, sigma)
kernel /= numpy.max(kernel)
if Mx == 1 or My == 1:
fft = numpy.fft.fft(image)
fft = numpy.fft.fftshift(fft)
fft *= kernel
result = numpy.real(numpy.fft.ifft(numpy.fft.fftshift(fft)))
else:
fft = numpy.fft.fftshift(numpy.fft.fft2(image))
fft *= kernel
result = numpy.real(numpy.fft.ifft2(numpy.fft.fftshift(fft)))
elif mode == 2:
new_dim = 2 * array(image.shape)
kernel = matlab_style_gauss2D((new_dim[0], new_dim[1]), sigma * 2)
kernel /= numpy.max(kernel)
kernel = kernel[Mx:, My:]
image = image.astype(numpy.double)
if Mx == 1 or My == 1:
dct = fftpack.dct(image, type=1)
dct *= kernel
result = numpy.real(fftpack.idct(dct, type=1))
else:
dct = fftpack.dct(fftpack.dct(image.T, type=2, norm='ortho').T, type=2, norm='ortho')
dct *= kernel
result = numpy.real(fftpack.idct(fftpack.idct(dct.T, type=2, norm='ortho').T, type=2, norm='ortho'))
return result
def doDCT (filename): DCTSlot = 30 img = cv2.imread(filename,0) img = cv2.resize(img, (200,200)) imf = np.float32(img) dct_ = dct(dct(imf.T, norm='ortho').T, norm='ortho') # dct_ = np.matrix([[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]) # read as dct, return as a list list_ = zigzagRead_half(dct_) list_ = np.abs(list_) # print dct_ # print list_ # first 10 slots x, next 10 slots 2x, the third 10 slots 4x slotLen = len(list_) / 70 + 1 # slotLen = len(list_) / DCTSlot + 1 # print slotLen dct_result = np.zeros((DCTSlot,1)) # get into each slot for i in range(len(list_)): if i+1 < 10*slotLen: dct_result[(i+1) / slotLen] += list_[i] elif i+1 >=10*slotLen and i+1 < 30 * slotLen: dct_result[10 + (i+1-10*slotLen) / (2*slotLen)] += list_[i] else: dct_result[20 + (i+1-30*slotLen) / (4*slotLen)] += list_[i] # normalization base = np.linalg.norm(dct_result) dct_result /= base dct_result = np.transpose(dct_result) return dct_result
def fourier_interp(sig_objs):
nws = len(sig_objs[0].aspec)
nqs = len(sig_objs)
pads = 8*nqs
aspec = np.zeros([nws, nqs+pads])
aux = np.zeros(nqs)
f = open('aspecinterp.dat', 'w')
for iw in range(nws):
for i, sig in enumerate(sig_objs):
tmp = map(float, sig.aspec[iw].split())
#trace over valence manifold:
aux[i] = sum(tmp[2:9])
# now have fourier coefficients interpolate back on to dense grid
aux[:] = dct(aux[:], 2, norm='ortho')
#dct type 3 is the
auxd = np.pad(aux, (0, pads), 'constant')
auxd = dct(auxd[:], 3, norm='ortho')
for iq in range(len(auxd)):
aspec[iw][iq] = auxd[iq]
for iq in range(nqs+pads)[::-1]:
#pads with zeros
for iw in range(nws):
print >>f, -iq, (sig.aspec[iw].split())[0], aspec[iw][iq]
print >>f, ''
for iq in range(nqs+pads):
#pads with zeros
for iw in range(nws):
print >>f, iq, (sig.aspec[iw].split())[0], aspec[iw][iq]
print >>f, ''
f.close()
def energy_99 (): files = [] # directory for read files. directory = "/Users/cyan/Desktop/color_hist_py/cropImage_large/" for infile in glob.glob(os.path.join(directory,'*.jpg')): files.append(infile) # print "current file is " + infile result_idx = [] for i in range(100): print i img = cv2.imread(files[i],0) img = cv2.resize(img, (200,200)) imf = np.float32(img) dct_ = dct(dct(imf.T, norm='ortho').T, norm='ortho') # dct_ = np.matrix([[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]) # read as dct, return as a list list_ = zigzagRead(dct_) total_energy = np.linalg.norm(list_) print "total enery" + str(total_energy) print np.linalg.norm(list_[:1]) for j in range(1, len(list_)+1): if np.linalg.norm(list_[:j]) > 0.99 * total_energy: print "J :" + str(j) result_idx.append(j) break return result_idx
def A_dct2(x, n, omega=None):
"""
Take the 2-dimensional type II DCT of the flattened (n,n) image
contained in vector x. Works across columns.
Parameters
----------
x : ndarray, shape (n*n,n_col)
flattened image vector
n : int
image column/row size
omega : ndarray
support of the output (ie, indices at which output vector is sampled)
Returns
-------
y = dct2(x.reshape(n,n))[omega]
"""
col_shapes = x.shape[1:] if len(x.shape) > 1 else ()
x.shape = (n,n) + col_shapes
y = fftpack.dct(x, type=2, axis=0, norm='ortho')
y = fftpack.dct(y, type=2, axis=1, norm='ortho')
x.shape = (n*n,) + col_shapes
# this syntax needed because y is discontiguous in memory
y = np.reshape(y, x.shape)
if omega:
return np.take(y, omega, axis=0)
return y
def dct_distance(rep_one, rep_two, norm=True, num_coefficients=3):
if not isinstance(rep_one, np.ndarray):
rep_one = rep_one.to_array()
if not isinstance(rep_two, np.ndarray):
rep_two = rep_two.to_array()
assert (rep_one.shape[1] == rep_two.shape[1])
num_bands = rep_one.shape[1]
distance = 0
for i in range(num_bands):
try:
source_dct = dct(rep_one[:, i], norm='ortho')
except ValueError:
print(rep_one)
raise
if norm:
source_dct = source_dct[1:]
source_dct = source_dct[0:num_coefficients]
target_dct = dct(rep_two[:, i], norm='ortho')
if norm:
target_dct = target_dct[1:]
target_dct = target_dct[0:num_coefficients]
if len(target_dct) < num_coefficients:
source_dct = source_dct[:len(target_dct)]
if len(source_dct) < num_coefficients:
target_dct = target_dct[:len(source_dct)]
distance += euclidean(source_dct, target_dct)
return distance / num_bands
def dctFromPixel(luminance_image, x, y): # get the square of size sampling_side centered at (x, y) neighbors = find_neighbors(luminance_image, x, y) # compute the DCT for the square and reshape it into a 1D array discrete_cosine_transform = dct(dct(neighbors.T, norm='ortho').T, norm='ortho') feature = np.reshape(discrete_cosine_transform, -1).tolist() return feature
def A_dct2(x, n, omega):
"""
Take the 2-dimensional type II DCT of the flattened (n,n) image
contained in vector x.
Parameters
----------
x : ndarray, shape (n*n,)
flattened image vector
n : int
image column/row size
omega : ndarray
support of the output (ie, indices at which output vector is sampled)
Returns
-------
y = dct2(x.reshape(n,n))[omega]
"""
x.shape = (n,n)
y = fftpack.dct(x, type=2, axis=0, norm='ortho')
y = fftpack.dct(y, type=2, axis=1, norm='ortho')
x.shape = (n*n,)
return y.flat[omega]
def extract_dct_features(time_windows, class_attr=None, n_comps=48):
X_matrix = []
y_vect = None
if class_attr is not None:
y_vect = []
for tw in time_windows:
x = tw['x'].values
y = tw['y'].values
z = tw['z'].values
m = mag(x,y,z)
dct_x = np.abs(fftpack.dct(x))
dct_y = np.abs(fftpack.dct(y))
dct_z = np.abs(fftpack.dct(z))
dct_m = np.abs(fftpack.dct(m))
v = np.array([])
v = np.concatenate((v, dct_x[:n_comps]))
v = np.concatenate((v, dct_y[:n_comps]))
v = np.concatenate((v, dct_z[:n_comps]))
v = np.concatenate((v, dct_m[:n_comps]))
X_matrix.append(v)
if y_vect is not None:
y_vect.append(tw[class_attr].iloc[0])
X_matrix = np.array(X_matrix)
if y_vect is None:
return X_matrix
else:
return X_matrix, y_vect
def process_cube(img, weight, quality):
# TODO: check to make sure that size of img, and q_tables are consistent
img = img.copy()
# print('process_cube input: {}'.format(img))
this_quality = np.round(np.max(weight)*quality)
if this_quality < 0:
this_quality = 0
if this_quality > quality - 1:
this_quality = quality - 1
for i in range(img.shape[3]):
img[:, :, :, i] = cv2.cvtColor(img[:, :, :, i], cv2.COLOR_BGR2LAB)
img = np.float32(img)
# print('process_cube pre DCT: {}'.format(img))
# img_dct = dct(dct(dct(img, axis=0)/4, axis=1)/4, axis=3)/4
img_dct = dct(dct(img, axis=0)/4, axis=1)/4
Q_luma = luminance_tables[:, :, :, this_quality].astype(np.float32)
Q_chroma = chrominance_tables[:, :, :, this_quality].astype(np.float32)
# Q_luma[:, :, :] = .01
# Q_chroma[:, :, :] = .01
# print('Q_luma: {}'.format(Q_luma))
# print('Q_chroma: {}'.format(Q_chroma))
# print('dct, pre rounding: {}'.format(img_dct))
img_dct[:, :, 0, :] /= Q_luma
img_dct[:, :, 1, :] /= Q_chroma
img_dct[:, :, 2, :] /= Q_chroma
img_dct = np.round(img_dct)
img_dct[:, :, 0, :] *= Q_luma
img_dct[:, :, 1, :] *= Q_chroma
img_dct[:, :, 2, :] *= Q_chroma
# print('dct, post rounding: {}'.format(img_dct))
# img_processed = idct(idct(idct(img_dct, axis=0)/4, axis=1)/4, axis=3)/4
img_processed = idct(idct(img_dct, axis=0)/4, axis=1)/4
# print('process_cube post DCT: {}'.format(img_processed))
img_processed = np.clip(img_processed, 0, 255)
img_processed = np.uint8(img_processed)
for i in range(img.shape[3]):
img_processed[:,:,:,i] = cv2.cvtColor(img_processed[:,:,:,i], cv2.COLOR_LAB2BGR)
# print('process_cube output: {}'.format(img))
# print('pre dct / post_dct: {}'.format(pre_dct / post_dct))
return img_processed
def fastChebScalar(self, fj, fk):
"""Fast Chebyshev scalar product."""
N = fj.shape[0]
if self.quad == "GL":
fk = dct(fj, 2, axis=0)*np.pi/(2*N)
elif self.quad == "GC":
fk = dct(fj, 1, axis=0)*np.pi/(2*(N-1))
return fk
def discrete_cosine(reference, target):
reference_transform = fftpack.dct( reference )
target_transform = fftpack.dct( target )
reference_curve = reference_transform.mean(axis = 1)
target_curve = target_transform.mean(axis = 1)
return reference_transform, target_transform, reference_curve, target_curve
def dct2(arr):
"""
@todo: 2D-dct, constructed from scipy's dct2
@params { np.ndarray } arr
@return { np.ndarray }
"""
array = np.float64(arr)
result = dct(dct(array, axis=0), axis=1)
return result
def laplacian_pca_TV(res, x, f0, lam, gam, iter = 10):
'''
TV version of Laplacian embedding
:param res: resolution of the grid
:param x: numpy array of data in rows
:param f0: initial embedding matrix
:param lam: sparsity parameter
:param gam: fidelity parameter
:param iter: number of iterations to carry out
:return: returns embedding matrix
'''
# f0 is an initial projection
n = res ** 2
num_data = x.shape[0]
D = sparse_discrete_diff(res)
M = 1/(lam*laplacian_eigenvalues(res).reshape(n)+gam)
f = f0
y = x .dot(f)
z = shrink(y .dot(D.T), lam)
for i in range(iter):
# Update z
z_old = z
z = shrink(y .dot (D.T), lam)
# Update f
f_old = f
u, s, v = la.svd(x.T .dot (y), full_matrices=False)
f = u .dot(v)
# Update y
y_old = y
q = lam * z .dot (D) + gam * x .dot(f)
# print('norm of y before is %f' % np.sum(q ** 2))
y = fftpack.dct(q.reshape((num_data, res, res)), norm='ortho') # Images unraveled as rows
y = fftpack.dct(np.swapaxes(y,1,2), norm='ortho') # Swap and apply dct on the other side
# print('norm of y after is %f' % np.sum(y ** 2))
y = np.apply_along_axis(lambda v: M * v, 1, y.reshape((num_data, n)))
y = fftpack.idct(y.reshape((num_data, res, res)), norm='ortho')
y = fftpack.idct(np.swapaxes(y,1,2), norm='ortho')
y = y.reshape((num_data, n))
zres = np.sqrt(np.sum((z - z_old) ** 2))
znorm = np.sqrt(np.sum((z)**2))
yres = np.sqrt(np.sum((y - y_old) ** 2))
ynorm = np.sqrt(np.sum((y)**2))
fres = np.sqrt(np.sum((f - f_old) ** 2))
value = np.sum(abs(z)) + 0.5*lam*np.sum((z-y .dot(D.T))**2) + 0.5*gam*np.sum((y- x .dot(f) )**2)
print('Iter %d Val %f Z norm %f Z res %f Ynorm %f Y res %f F res %f' % (i, value, znorm, zres, ynorm, yres, fres))
return f
def ifct(self, fk, cj):
"""Inverse fast Chebyshev transform."""
if self.quad == "GL":
cj = 0.5*dct(fk, 3, axis=0)
cj += 0.5*fk[0]
elif self.quad == "GC":
cj = 0.5*dct(fk, 1, axis=0)
cj += 0.5*fk[0]
cj[::2] += 0.5*fk[-1]
cj[1::2] -= 0.5*fk[-1]
return cj
def dct2(y):
M = y.shape[0]
N = y.shape[1]
a = empty([M,N],float)
b = empty([M,N],float)
for i in range(M):
a[i,:] = dct(y[i,:],norm='ortho')
for j in range(N):
b[:,j] = dct(a[:,j],norm='ortho')
return b
def At_dct2(y, n, omega):
"""
Take the 2-dimensional type III DCT of the flattened (n,n) matrix
contained in vector y. This is the adjoint operator to the A_dct2
operator defined above
"""
y2 = np.zeros((n,n), 'd')
y2.flat[omega] = y
w = fftpack.dct(y2, type=3, axis=0, norm='ortho')
w = fftpack.dct(w, type=3, axis=1, norm='ortho')
return w.flatten()
def multiwavelet_from_rgb(rgb):
from scipy.fftpack import dct
from pywt import wavedec2
r = rgb[:, :, 0].astype(np.float)
g = rgb[:, :, 1].astype(np.float)
dctr = dct(r, norm='ortho').ravel()
dctg = dct(g, norm='ortho').ravel()
daubr = _unpack(wavedec2(r, 'db4'))
daubg = _unpack(wavedec2(g, 'db4'))
return np.hstack([dctr, dctg, daubr, daubg])
def calculate_DCTII_2D(matrix):
"""
Calculates the 2D transform of the DCT II algorithm.
Assumes a square matrix.
See:
http://en.wikipedia.org/wiki/Discrete_cosine_transform#DCT-II
We are using the plain version, which seems to work better.
"""
a = numpy.reshape(numpy.array(matrix), (32, 32))
return fftpack.dct(fftpack.dct(a.T).T)
def fct(self, fj, cj):
"""Fast Chebyshev transform."""
N = fj.shape[0]
if self.quad == "GL":
cj = dct(fj, 2, axis=0)
cj /= N
cj[0] /= 2
elif self.quad == "GC":
cj = dct(fj, 1, axis=0)/(N-1)
cj[0] /= 2
cj[-1] /= 2
return cj
def fastChebScalar(self, fj, fk):
"""Fast Chebyshev scalar product."""
if self.fast_transform:
N = fj.shape[0]
if self.quad == "GL":
fk = dct(fj, 2, axis=0)*np.pi/(2*N)
elif self.quad == "GC":
fk = dct(fj, 1, axis=0)*np.pi/(2*(N-1))
else:
if self.points is None: self.init(fj.shape[0])
fk[:] = np.dot(self.V, fj*self.weights)
return fk
def __init__(self, audiofile, mel_bands = 40, weight=2):
super(MFCC, self).__init__(audiofile, skip_frames=3);
self.weight = float(weight)
self.mel_bands = mel_bands
self.powerspectrum()
self.map_to_mel()
self.calc_gradient()
#plt.figure()
self.mfcc = dct(self.processed, type=2, norm="ortho", axis=0)[:13]
#plt.imshow(mfcc, origin="lower", aspect="auto", interpolation="nearest")
self.delta = dct(self.delta, type=2, norm="ortho", axis=0)[:13]
self.processed = np.zeros(26)
self.processed[:13] = np.mean(self.mfcc, axis = 1)
self.processed[13:] = np.mean(self.delta, axis = 1)
def razafindradina_embed(grayscale_container_path, grayscale_watermark_path, watermarked_image_path, alpha):
"""
Razafindradina embedding method implementation.
Outputs the resulting watermarked image
23-July-2015
"""
grayscale_container_2darray = numpy.asarray(Image.open(grayscale_container_path).convert("L"))
grayscale_watermark_2darray = numpy.asarray(Image.open(grayscale_watermark_path).convert("L"))
assert (
(grayscale_container_2darray.shape[0] == grayscale_container_2darray.shape[1])
and (grayscale_container_2darray.shape[0] == grayscale_watermark_2darray.shape[0])
and (grayscale_container_2darray.shape[1] == grayscale_watermark_2darray.shape[1])
), "GrayscaleContainer and GrayscaleWatermark sizes do not match or not square"
# Perform DCT on GrayscaleContainer
# print grayscale_container_2darray
gcdct = dct(dct(grayscale_container_2darray, axis=0, norm="ortho"), axis=1, norm="ortho")
# print grayscale_container_2darray
# Perform SchurDecomposition on GrayscaleWatermark
gwsdt, gwsdu = schur_decomposition(grayscale_watermark_2darray)
# alpha-blend GrayscaleWatermark TriangularMatrix into GrayscaleContainer DCT coeffs with alpha
gcdct += gwsdt * alpha
# Perform IDCT on GrayscaleContainer DCT coeffs to get WatermarkedImage
watermarked_image_2darray = idct(idct(gcdct, axis=0, norm="ortho"), axis=1, norm="ortho")
watermarked_image_2darray[watermarked_image_2darray > 255] = 255
watermarked_image_2darray[watermarked_image_2darray < 0] = 0
watermarked_image = Image.fromarray(numpy.uint8(watermarked_image_2darray))
# watermarked_image.show()
# Write image to file
watermarked_image.save(watermarked_image_path)
return
def idct2(b,c,d):
#M = b.shape[0]
#N = b.shape[1]
M = c
N = d
a = empty([64,64],float)
y = empty([64,64],float)
for i in range(M):
a[i,:] = dct(b[i,:])
for j in range(N):
y[:,j] = dct(a[:,j])
return y
def _frame_hash(self, im, hasher):
im_gray = im.convert('F')
im_small = _resize_to_width(im_gray, self._standard_width)
mat = numpy.asarray(im_small, dtype=numpy.float32) - 128
edge_width = self._edge_width
mat_core = mat[edge_width:(mat.shape[0]-edge_width), edge_width:(mat.shape[1]-edge_width)]
mat_dct = fftpack.dct(fftpack.dct(mat_core, norm='ortho').T, norm='ortho').T
_, height_small = im_small.size
hasher.update('%d' % (height_small / self._height_split))
for ii in range(0, self._dct_core_width):
for jj in range(0, self._dct_core_width):
hasher.update(self._prepare_coeff(mat_dct[ii][jj]))
def temporal_dc_variation_feature_extraction(frames):
'''
computes dt_dc_measure 1
'''
mbsize = 16
row = frames.shape[0]
col = frames.shape[1]
motion_vects = zeros(shape=(2,row*col/mbsize**2,frames.shape[2]-1))
for x in xrange(0,frames.shape[2]-1):#xrange is inclusive at beginning, exclusive at end, end 1 early since x+1
imgP = frames[:,:,x+1]
imgI = frames[:,:,x]
motion_vects[:,:,x], temp = motionEstNTSS(imgP,imgI,mblock,7)
#motion_vects.dump(open("./pythonvects", "wb"))
dct_motion_comp_diff = zeros(shape=(row,col,frames.shape[2]-1))
for x in xrange(0,frames.shape[2]-1):
mbCount = 0
for i in xrange(0,row-mbsize+1,mbsize):
for j in xrange(0,col-mbsize+1,mbsize):
dct_motion_comp_diff[i:i+mbsize-1,j:j+mbsize-1,x] = dct(dct(((frames[i:i+mbsize-1,j:j+mbsize-1,x+1].astype(np.float))-
frames[i+motion_vects[0,mbCount,x]:i+mbsize-1+motion_vects[0,mbCount,x],
j+motion_vects[1,mbCount,x]:j+mbsize-1+motion_vects[1,mbCount,x],x].astype(np.float).clip(min=0)).astype(np.float),norm="ortho").transpose(),norm="ortho").transpose();
#print "i"
#print i
#print (frames[i:i+mbsize-1,j:j+mbsize-1,x+1].astype(np.float)-
# frames[i+motion_vects[0,mbCount,x]:i+mbsize-1+motion_vects[0,mbCount,x],
# j+motion_vects[1,mbCount,x]:j+mbsize-1+motion_vects[1,mbCount,x],x].astype(np.float)).astype(np.float)
#print frames[i:i+mbsize-1,j:j+mbsize-1,x+1]
#print frames[i+motion_vects[0,mbCount,x]:i+mbsize-1+motion_vects[0,mbCount,x],
# j+motion_vects[1,mbCount,x]:j+mbsize-1+motion_vects[1,mbCount,x],x]
mbCount = mbCount + 1
dct_motion_comp_diff.dump(open("./pythonvects", "wb"))
std_dc = zeros(shape=(frames.shape[2]-1))
for i in xrange(0,frames.shape[2]-1):
temp = im2colDistinct(dct_motion_comp_diff[:,:,i],(16,16));
std_dc[i] = np.std(temp)
dt_dc_temp = zeros(shape=(std_dc.shape[0]-1))#this will be 1 smaller than std_dc
for i in xrange(0,len(std_dc) - 1):
dt_dc_temp[i] = abs(std_dc[i+1]-std_dc[i])
print 'dt_dc_temp'
print dt_dc_temp.shape
print dt_dc_temp
dt_dc_measure1 = np.mean(dt_dc_temp)
print 'dt_dc_measure1'
print dt_dc_measure1
def transform(data):
result = []
for i in range(len(data[0])):
result.append([])
for i in range(len(data)):
partial_result = dct(data[i])
for j in range(len(partial_result)):
result[j].append(partial_result[j])
final_result = []
for i in range(len(result)):
partial_result = dct(result[i])
final_result.append(partial_result)
return final_result
def mfcc(signal,samplerate=16000,winlen=0.025,winstep=0.01,numcep=13,
nfilt=26,nfft=512,lowfreq=0,highfreq=None,preemph=0.97,ceplifter=22,appendEnergy=True,
winfunc=lambda x:numpy.ones((x,))):
"""Compute MFCC features from an audio signal.
:param signal: the audio signal from which to compute features. Should be an N*1 array
:param samplerate: the samplerate of the signal we are working with.
:param winlen: the length of the analysis window in seconds. Default is 0.025s (25 milliseconds)
:param winstep: the step between successive windows in seconds. Default is 0.01s (10 milliseconds)
:param numcep: the number of cepstrum to return, default 13
:param nfilt: the number of filters in the filterbank, default 26.
:param nfft: the FFT size. Default is 512.
:param lowfreq: lowest band edge of mel filters. In Hz, default is 0.
:param highfreq: highest band edge of mel filters. In Hz, default is samplerate/2
:param preemph: apply preemphasis filter with preemph as coefficient. 0 is no filter. Default is 0.97.
:param ceplifter: apply a lifter to final cepstral coefficients. 0 is no lifter. Default is 22.
:param appendEnergy: if this is true, the zeroth cepstral coefficient is replaced with the log of the total frame energy.
:param winfunc: the analysis window to apply to each frame. By default no window is applied.
:returns: A numpy array of size (NUMFRAMES by numcep) containing features. Each row holds 1 feature vector.
"""
feat,energy = fbank(signal,samplerate,winlen,winstep,nfilt,nfft,lowfreq,highfreq,preemph,winfunc)
feat = numpy.log(feat)
feat = dct(feat, type=2, axis=1, norm='ortho')[:,:numcep]
feat = lifter(feat,ceplifter)
if appendEnergy: feat[:,0] = numpy.log(energy) # replace first cepstral coefficient with log of frame energy
return feat
def _process(self, data):
data = np.abs(data)
bfcc = dct(safe_log(data), axis=1) \
[:, self._exclude: self._exclude + self._n_coeffs]
yield ArrayWithUnits(
bfcc.copy(), [data.dimensions[0], IdentityDimension()])
def mfcc(s, fs): #Constants N = 256 M = 100 P = 30 l = int(math.ceil((s.size-N+1)/M)) #Allocate c array c = np.zeros((P,l)); for x in range(0,l-1): #Frame start = x * M; frame = s[start:start+N]; #Window w = np.hamming(N) windFrame = frame * w #FFT frameFFT = np.fft.fft(windFrame) #Mel-Frequency Wrapping m = get_filterbanks(P,N,fs) n2 = math.floor(N/2) ms = np.dot(m , abs(np.power(frameFFT[0:n2+1],2))) #Last step, compute mel-frequency cepstrum coefficients c[:,x] = fft.dct(np.log(ms.clip(min=0.00001))); np.delete(c,0,0) # exclude 0'th order cepstral coefficient return c
def mfsc_to_sp(mfsc, alpha=0.45, N=2048):
mc = sfft.dct(mfsc, norm='ortho') # Mel cepstrum
sp = pysptk.conversion.mc2sp(mc, alpha, N) # Spectral envelope
return sp
def a_dct(l, m):
tmp = dct(l, type=2, norm = 'ortho')
tmp_idx = sorted(range(len(tmp)), key=lambda k: -abs(tmp[k]))
tmp[tmp_idx[m:]] = 0
return tmp
def mfcc(sig, sr, nbins=40):
#calculate power spectrum of the signal
pw = pwrspec(sig, sr, nbins)
#DCT of log of power spectrum
return dct(np.log(pw))
def Atdct(y):
x = np.zeros(m)
x[pix_idx] = y
x = dct(x, type=2, norm='ortho')
return x
def dct2(block):
return dct(dct(block.T, norm='ortho').T, norm='ortho')
def dct2d(a):
return fftpack.dct(fftpack.dct(a, axis=0), axis=1)
### setting the range
tstart=-2*N; tend=3*N # extended range to see periodicity
t=linspace(tstart,tend,500) # continuous range
nrange=arange(N) #discrete range
nextended=arange(tstart,tend) # extended discrete range to see periodicity
dctrange=arange(0+.25,N/2+.25,.5) # shifted range to compare the DCT and DFT
### Analysis
# Console output of DCT types 1-4 and DFT
# Note: with scaling, I'm looking for factors that conserve
# signal energy across domains.
print 'type 1: ',dct(sequence,type=1)
print 'type 1 (scaled):',dct(sequence,type=1)*2/(1*N)
print 'type 2: ',dct(sequence,type=2)
print 'type 2 (scaled):',dct(sequence,type=2)*2/(1*N)
print 'type 3: ',dct(sequence,type=3)
print 'type 3 (scaled):',dct(sequence,type=3)*2/(1*N)
print 'type 4: ',array(map(abs,DCTx(nrange)))
print 'dft: ',array(map(abs,(DFTx(nrange))))
### Plotting
#close('all')
myfig=figure(1,figsize=(16,8), dpi=120)
clf()
subplots_adjust(wspace=.15,hspace=0.03)
def dct_2d(image):
return fftpack.dct(fftpack.dct(image.T, norm='ortho').T, norm='ortho')
def dct2d(x, inverse=False):
t = 2 if not inverse else 3
temp = dct(x, type=t, norm='ortho').transpose()
return dct(temp, type=t, norm='ortho').transpose()
def dct2d(data):
return fftpack.dct(fftpack.dct(data, norm='ortho').T, norm='ortho').T
def DCT_all_blocks(img,w):
'''
computes the DCT II of all the wxw overlapping blocks in img.
'''
Q_aux = view_as_windows(img, w).reshape(-1, w, w)
return dct(dct(Q_aux, axis=1, norm='ortho'), axis=2, norm='ortho')
def dct2(x):
return dct(dct(x, norm='ortho').T, norm='ortho').T
def get_2D_dct(img):
""" Get 2D Cosine Transform of Image
"""
return fftpack.dct(fftpack.dct(img.T, norm='ortho').T, norm='ortho')
pad_signal = np.concatenate((signal, zeros))
#split into frames
indices = np.tile(np.arange(0, frame_length), (frames_num, 1)) + np.tile(
np.arange(0, frames_num * frame_step, frame_step), (frame_length, 1)).T
indices = np.array(indices, dtype=np.int32)
frames = pad_signal[indices]
frames *= np.hamming(frame_length)
#FFT and abs
complex_spectrum = np.fft.rfft(frames, NFFT).T
absolute_complex_spectrum = np.abs(complex_spectrum)
#create triangular filter and plot it
fb = get_filter_banks(filters_num, NFFT, fs, low_freq, high_freq)
plt.figure(3)
plt.title('fb')
for i in range(filters_num):
plt.plot(fb[i])
#signal inner product with triangular filter
feat = np.dot(np.transpose(absolute_complex_spectrum), np.transpose(fb))
feat = np.where(feat == 0, np.finfo(float).eps, feat)
feat = np.log(feat)
#Apply DCT
feat = dct(feat, norm='ortho')[:, :filters_num]
print(feat.shape)
final = 'train_%d.npy' % (k + 30)
np.save(final, feat)
x = np.array([1.0,2.0,-1.0,1.5]) y = fft(x) print(y) from scipy.fftpack import ifft x = np.array([1.0,2.0,-1.0,1.5]) y = fft(x) yinv = ifft(y) print(yinv) from scipy import fftpack time_step = 0.02 period = 5. time_vec = np.arange(0,20,time_step) sig = np.sin(2*np.pi/period*time_vec) + 0.5*np.random.randn(time_vec.size) print(sig.size) sample_freq = fftpack.fftfreq(sig.size,d = time_step) sig_fft = fftpack.fft(sig) print(sig_fft) from scipy.fftpack import dct from scipy.fftpack import idct mydict =dct(np.array([4.,3.,5.,10.,5.,3.])) print(mydict) d = idct(np.array([4.,3.,5.,10.,5.,3.0])) print(d)
def dct2(a):
return dct(dct(a.T, norm='ortho').T, norm='ortho')
def transform(self, x):
return dct(x)
for i in range(total_frames):
for j in range(framesize):
if ((i * overlap + j) < num_samples):
frames[i][j] = data[i * overlap + j]
else:
frames[i][j] = 0
saw_filter_a = signal.waveforms.sawtooth(range(len(frames)),
width=[0.5])
saw_filter_b = signal.waveforms.sawtooth(range(len(frames)),
width=[0.6])
for i in range(total_frames):
dft_matrix[i] = np.fft.fft(frames[i])
dft_matrix[i] = signal.filtfilt(saw_filter_a, saw_filter_b,
dft_matrix[i])
dft_matrix[i] = dct(dft_matrix[i])
abs_dft_matrix[i] = abs(dft_matrix[i]) * abs(dft_matrix[i]) / max(
abs(dft_matrix[i]))
abs_dft_matrix[i] = np.log10(abs_dft_matrix[i])
f = open(file_name[:-4] + ".logFBE", "w+")
f.writelines(str(abs_dft_matrix))
t = range(len(abs_dft_matrix))
plt.plot(t, abs_dft_matrix)
plt.ylabel("Frequency")
plt.xlabel("Frame number")
except Exception as e:
print("Exception thrown as: " + str(e))
pass
def create_mfcc(file_name, start_point):
file_path = 'F:/Projects/speech/speeches mail/' + str(file_name)
sample_rate, signal = scipy.io.wavfile.read(file_path)
signal = signal[start_point:int(start_point +
3 * sample_rate)] #framing to 3 seconds
emphasized_signal = numpy.append(signal[0],
signal[1:] - pre_emphasis * signal[:-1])
frame_length, frame_step = frame_size * sample_rate, frame_stride * sample_rate # Convert from seconds to samples
signal_length = len(emphasized_signal)
frame_length = int(round(frame_length))
frame_step = int(round(frame_step))
num_frames = int(
numpy.ceil(
float(numpy.abs(signal_length - frame_length)) /
frame_step)) # Make sure that we have at least 1 frame
pad_signal_length = num_frames * frame_step + frame_length
z = numpy.zeros((pad_signal_length - signal_length))
pad_signal = numpy.append(
emphasized_signal, z
) # Pad Signal to make sure that all frames have equal number of samples without truncating any samples from the original signal
indices = numpy.tile(numpy.arange(
0, frame_length), (num_frames, 1)) + numpy.tile(
numpy.arange(0, num_frames * frame_step, frame_step),
(frame_length, 1)).T
frames = pad_signal[indices.astype(numpy.int32, copy=False)]
frames *= numpy.hamming(frame_length) #hamming window
mag_frames = numpy.absolute(numpy.fft.rfft(frames,
NFFT)) # Magnitude of the FFT
pow_frames = ((1.0 / NFFT) * ((mag_frames)**2)) # Power Spectrum
low_freq_mel = 0
high_freq_mel = (2595 * numpy.log10(1 + (sample_rate / 2) / 700)
) # Convert Hz to Mel
mel_points = numpy.linspace(low_freq_mel, high_freq_mel,
nfilt + 2) # Equally spaced in Mel scale
hz_points = (700 * (10**(mel_points / 2595) - 1)) # Convert Mel to Hz
bin = numpy.floor((NFFT + 1) * hz_points / sample_rate)
fbank = numpy.zeros((nfilt, int(numpy.floor(NFFT / 2 + 1))))
for m in range(1, nfilt + 1):
f_m_minus = int(bin[m - 1]) # left
f_m = int(bin[m]) # center
f_m_plus = int(bin[m + 1]) # right
for k in range(f_m_minus, f_m):
fbank[m - 1, k] = (k - bin[m - 1]) / (bin[m] - bin[m - 1])
for k in range(f_m, f_m_plus):
fbank[m - 1, k] = (bin[m + 1] - k) / (bin[m + 1] - bin[m])
filter_banks = numpy.dot(pow_frames, fbank.T)
filter_banks = numpy.where(filter_banks == 0,
numpy.finfo(float).eps,
filter_banks) # Numerical Stability
filter_banks = 20 * numpy.log10(filter_banks) # dB
mfcc = dct(filter_banks, type=2, axis=1,
norm='ortho')[:, 1:(num_ceps + 1)] # Keep 2-13
(nframes, ncoeff) = mfcc.shape
n = numpy.arange(ncoeff)
lift = 1 + (cep_lifter / 2) * numpy.sin(numpy.pi * n / cep_lifter)
mfcc *= lift #*
filter_banks -= (numpy.mean(filter_banks, axis=0) + 1e-8)
mfcc -= (numpy.mean(mfcc, axis=0) + 1e-8)
return mfcc
def tl_nmf(Y, K, Phi=None, W=None, H=None, regul=None, max_iter=300,
n_iter_tl=5, tol=1e-4, verbose=False, rng=None):
'''Runs Transform learning NMF
Parameters
----------
Y : array, shape (M, N)
Frames matrix
K : int
Rank of the learned feature matrices.
Phi : array, shape (M, M) | 'random' | 'dct' | None, optional
Initial Transform. Should be orthogonal. If 'random', start from a
random orthogonal matrix. If 'dct', start from the DCT coefficients.
Random by default
W : array, shape (M, K) | None, optional
Initial dictionnary.
H : array, shape (K, N) | None, optional
Initial activations.
regul : float | None, optional
Level of regularization. By default, a heuristic is used.
max_iter : int, optional
Maximal number of iterations for the algorithm
n_iter_tl : int, optional
Number of iteration of Transform learning between NMF steps
tol : float, optional
tolerance for the stopping criterion. Iterations stop when two
consecutive iterations of the algorithm have a relative objective
change lower than tol.
verbose : boolean, optional
Wether to print or not informations about the current state
rng : RandomState, optional
random seed of the algorithm
Returns
-------
Phi : array, shape (M, M)
The estimated transform matrix
W : array, shape (M, K)
The estimated dictionnary
H : array, shape (K, N)
The estimated activations
Phi_init : array, shape (M, M)
Initial Phi
infos_list : dict
Contains various metrics monitoring convergence. Same as printed by
Verbose.
'''
regul_type = 'sparse'
M, N = Y.shape
rng = check_random_state(rng)
# Initialization
if regul is None:
regul = 1e6 * float(K) / M
if type(Phi) is not np.ndarray:
if Phi is None:
Phi = 'random'
if Phi == 'random':
Phi = unitary_projection(rng.randn(M, M))
elif Phi == 'dct':
Phi = fftpack.dct(np.eye(M), 3, norm='ortho')
if W is None:
W = np.abs(rng.randn(M, K)) + 1.
W = W / np.sum(W, axis=0)
if H is None:
H = np.abs(rng.randn(K, N)) + 1.
X = np.dot(Phi, Y)
V = X ** 2 # Initial spectrogram
V_hat = np.dot(W, H) # Initial factorization
obj = is_div(V, V_hat) + regul * penalty(H, regul_type) # Objective
Phi_init = Phi.copy()
# Monitoring
obj_list = []
eps_list = []
tl_obj_list = []
nmf_obj_list = []
d_phi_list = []
d_phi_i_list = []
# Verbose
if verbose:
print('Running TL-NMF with %s regularization on a %d x %d '
'problem with K = %d' % (regul_type, M, N, K))
print(' | '.join([name.center(8) for name in
["iter", "obj", "eps", "NMF", "TL", "d_phi",
"d_phi_i"]]))
for n in range(max_iter):
# NMF
if regul_type == 'smooth':
W, H = update_nmf_smooth(V, W, H, V_hat, regul)
else:
W, H = update_nmf_sparse(V, W, H, V_hat, regul)
# Transform Learning
V_hat = np.dot(W, H)
obj1 = is_div(V, V_hat) + regul * penalty(H, regul_type)
Phi_old = Phi.copy()
Phi, X = fast_transform_learning(Phi, X, V_hat, n_iter_tl)
V = X ** 2
# Monitoring
old_obj = obj.copy()
obj = is_div(V, V_hat) + regul * penalty(H, regul_type)
eps = (old_obj - obj) / (np.abs(obj) + np.abs(old_obj))
eps1 = old_obj - obj1
eps2 = obj1 - obj
delta_phi = np.mean(np.abs(Phi - Phi_old))
delta_phi_init = np.mean(np.abs(Phi - Phi_init))
obj_list.append(obj)
eps_list.append(eps)
tl_obj_list.append(eps2)
nmf_obj_list.append(eps1)
d_phi_list.append(delta_phi)
d_phi_i_list.append(delta_phi_init)
# Terminaison
if np.abs(eps) < tol:
break
if verbose:
print(' | '.join([("%d" % (n+1)).rjust(8),
("%.2e" % obj).rjust(8),
("%.2e" % eps).rjust(8),
("%.2e" % eps1).rjust(8),
("%.2e" % eps2).rjust(8),
("%.2e" % delta_phi).rjust(8),
("%.2e" % delta_phi_init).rjust(8)]))
infos = dict(obj_list=obj_list, eps_list=eps_list, tl_obj_list=tl_obj_list,
nmf_obj_list=nmf_obj_list, d_phi_list=d_phi_list,
d_phi_i_list=d_phi_i_list)
return Phi, W, H, Phi_init, infos
def Adct(x):
y = dct(x, type=3, norm='ortho')
y = y[pix_idx]
return y
window = tk.Tk(className="bla")
original = Image.fromarray(np.round(datal[:, :, ::-1] * 255).astype(np.uint8))
canvas = tk.Canvas(window, width=original.size[0], height=original.size[1])
canvas.pack()
image_tk = ImageTk.PhotoImage(original)
canvas.create_image(original.size[0] // 2,
original.size[1] // 2,
image=image_tk)
db = datal[:, :, 0]
dg = datal[:, :, 1]
dr = datal[:, :, 2]
dcb = fftpack.dct(fftpack.dct(db.T / w).T / h)
dcg = fftpack.dct(fftpack.dct(dg.T / w).T / h)
dcr = fftpack.dct(fftpack.dct(dr.T / w).T / h)
sb = np.sign(dcb[dh:, dw:])
sg = np.sign(dcb[dh:, dw:])
sr = np.sign(dcb[dh:, dw:])
sb[sb == 0] = 1
sg[sg == 0] = 1
sr[sr == 0] = 1
allh = np.empty((
3,
h - dh,
w - dw,
def DCT2(mat):
return np.round(dct(dct(mat, norm='ortho').T, norm='ortho') // q_table)
mse_bo = 10 * np.log10((lp.norm(x - x1)**2) / lp.norm(x)**2)
print('BSBL-BO exit on %d loop' % clf.count)
plt.figure()
plt.plot(x, linewidth=3)
plt.plot(x1, 'r-')
plt.title('MSE of BO (directly) is ' + str(mse_bo) + 'dB')
plt.legend({'Original', 'Recovered'})
#=========================== Second Method ==============================
# First recover the signal's coefficients in the DCT domain;
# Then recover the signal using the DCT ceofficients and the DCT basis
#=========================================================================
A = np.zeros([M, N], dtype='float')
for k in xrange(M):
dct_k = sf.dct(Phi[k, :].astype('float'), norm='ortho')
A[k, :] = dct_k.copy()
#
clf = bsbl.bo(verbose=1,
learn_type=1,
learn_lambda=2,
prune_gamma=-1,
epsilon=1e-8,
max_iters=16)
rev_dct_coeff = clf.fit_transform(A, y, blk_start_loc=groupStartLoc)
# IDCT only accept 'row' vector !
x2 = sf.idct(rev_dct_coeff, norm='ortho')
#
mse_bo_dct = 10 * np.log10((lp.norm(x - x2)**2) / lp.norm(x)**2)
print('BSBL-BO exit on %d loop' % clf.count)
def extract_mfcc(self, draw=False):
# 端点检测
# begin, end = self.endpoint_detection(draw=draw)
# 预加重
self.pre_emphasis()
# y = self.y[begin:end]
y = self.y
# 分帧
sig_len = len(y)
frame_size, frame_stride = 0.025, 0.01
frame_len, frame_step = round(frame_size*self.sampling_freq), round(frame_stride*self.sampling_freq)
num_frames = math.ceil((sig_len-frame_len) / frame_step)
if num_frames is 0:
return False, False
pad_sig_len = num_frames*frame_step + frame_len
pad_sig = np.append(y, np.zeros((pad_sig_len-sig_len)))
indices = np.tile(np.arange(0, frame_len), (num_frames, 1)) + np.tile(np.arange(0, num_frames*frame_step, frame_step), (frame_len, 1)).T
frames = pad_sig[np.mat(indices).astype(np.int32, copy=False)]
# 加窗
frames *= np.hamming(frame_len)
# 傅里叶变换和功率谱
NFFT = 512
mag_frames = np.absolute(np.fft.rfft(frames, NFFT))
pow_frames = (1.0/NFFT) * (mag_frames**2)
# 转为MEL频率
low_freq_mel = 0
nfilt = 40
high_freq_mel = 2595 * np.log10(1 + (self.sampling_freq/2)/700)
mel_points = np.linspace(low_freq_mel, high_freq_mel, nfilt+2)
hz_points = 700 * (10**(mel_points/2595) - 1)
bin = np.floor((NFFT+1) * hz_points / self.sampling_freq)
fbank = np.zeros((nfilt, int(np.floor(NFFT/2 + 1))))
for m in range(1, nfilt + 1):
f_m_minus = int(bin[m - 1]) # left
f_m = int(bin[m]) # center
f_m_plus = int(bin[m + 1]) # right
for k in range(f_m_minus, f_m):
fbank[m - 1, k] = (k - bin[m - 1]) / (bin[m] - bin[m - 1])
for k in range(f_m, f_m_plus):
fbank[m - 1, k] = (bin[m + 1] - k) / (bin[m + 1] - bin[m])
filter_banks = np.dot(pow_frames, fbank.T)
filter_banks = np.where(filter_banks == 0, np.finfo(float).eps, filter_banks) # Numerical Stability
filter_banks = 20 * np.log10(filter_banks) # dB
num_ceps = 98
cep_lifter = 22
mfcc = dct(filter_banks, type=2, axis=1, norm='ortho')[:, 1 : (num_ceps + 1)]
(nframes, ncoeff) = mfcc.shape
n = np.arange(ncoeff)
lift = 1 + (cep_lifter / 2) * np.sin(np.pi * n / cep_lifter)
mfcc *= lift
mfcc -= (np.mean(mfcc, axis=0) + 1e-8)
return mfcc, filter_banks
def mfcc_calc(file_address,
frame_size=frame_size,
frame_stride=frame_stride,
nfilt=nfilt,
frame_limit=frame_limit):
sample_rate, signal = scipy.io.wavfile.read(
file_address) # sample_rate: number of samples per second
# signal: 1D vector of audio data
# create shorter-term frame for signal
frame_length, frame_step = frame_size * sample_rate, frame_stride * sample_rate
signal_length = len(signal)
frame_length = int(round(frame_length))
frame_step = int(round(frame_step))
if (signal_length > frame_length):
num_steps = int(
numpy.ceil(float(signal_length - frame_length) / frame_step))
else:
num_steps = 1
num_frames = num_steps + 1
pad_signal_length = num_steps * frame_step + frame_length # number of zeros to pad at the end of signal
pad_vector = numpy.zeros((pad_signal_length - signal_length))
pad_signal = numpy.append(signal, pad_vector)
indices = numpy.tile(numpy.arange(0, frame_length), (num_frames, 1)) + \
numpy.tile(numpy.arange(0, num_frames * frame_step, frame_step), (frame_length, 1)).T
# indices in signal to slice to form frames
frames = pad_signal[indices.astype(numpy.int32, copy=False)]
# apply hamming function for FFT
frames *= numpy.hamming(frame_length)
#Report some values
#print('sample_rate: ', sample_rate)
#print('frame_length: ', frame_length)
#print('frame_step: ', frame_step)
#print('signal_length: ', signal_length)
#print('num_frames: ', num_frames)
#print('pad_signal_length: ', pad_signal_length)
#print('frames: ', frames)
# Fourier Transform and Power Spectrum
NFFT = 512
mag_frames = numpy.absolute(numpy.fft.rfft(frames,
NFFT)) # Magnitude of the FFT
pow_frames = ((1.0 / NFFT) * ((mag_frames)**2)) # Power Spectrum
#Report some values
#print('mag_frames: ', numpy.shape(mag_frames))
#print('pow_frames: ', numpy.shape(pow_frames))
# apply triangular filter
low_freq_mel = 0
high_freq_mel = (2595 * numpy.log10(1 + (sample_rate / 2) / 700)
) # Convert Hz to Mel
mel_points = numpy.linspace(
low_freq_mel, high_freq_mel,
nfilt + 2) # Equally spaced in Mel scale (incl. low&high freq)
hz_points = (700 * (10**(mel_points / 2595) - 1)) # Convert Mel to Hz
bin = numpy.floor((NFFT + 1) * hz_points / sample_rate)
fbank = numpy.zeros((nfilt, int(numpy.floor(NFFT / 2 + 1))))
for m in range(1, nfilt + 1):
f_m_minus = int(bin[m - 1]) # left
f_m = int(bin[m]) # center
f_m_plus = int(bin[m + 1]) # right
for k in range(f_m_minus, f_m):
fbank[m - 1, k] = (k - bin[m - 1]) / (bin[m] - bin[m - 1])
for k in range(f_m, f_m_plus):
fbank[m - 1, k] = (bin[m + 1] - k) / (bin[m + 1] - bin[m])
filter_banks = numpy.dot(pow_frames, fbank.T)
filter_banks = numpy.where(filter_banks == 0,
numpy.finfo(float).eps,
filter_banks) # Numerical Stability
filter_banks = 20 * numpy.log10(filter_banks) # dB
# Report some values
#print('high_freq_mel: ', high_freq_mel)
#print('mel_points: ', mel_points.shape)
#print('hz_points: ', hz_points.shape)
#print('bin: ', bin.shape)
#print('fbank: ', fbank.shape)
#print('filter_banks: ', filter_banks.shape)
num_ceps = 12
mfcc = dct(filter_banks, type=2, axis=1,
norm='ortho')[:, 1:(num_ceps + 1)] # Keep 2-13
cep_lifter = 23
(nframes, ncoeff) = mfcc.shape
n = numpy.arange(ncoeff)
lift = 1 + (cep_lifter / 2) * numpy.sin(numpy.pi * n / cep_lifter)
mfcc *= lift
# mean normalization
mfcc -= (numpy.mean(mfcc, axis=0))
mfcc_result = numpy.zeros((frame_limit, num_ceps))
dim1 = len(mfcc)
if (dim1 <= frame_limit):
mfcc_result[:dim1, :] = mfcc
else:
mfcc_result[:, :] = mfcc[:frame_limit, :]
# Report some values
#print('dim1: ', dim1)
#print('mfcc_result: ', mfcc_result.shape)
#plt.imshow(mfcc_result, cmap='hot')
#plt.show()
#print(numpy.shape(mfcc_result.T.reshape(1,-1)))
return mfcc_result.T.reshape(1, -1)
def mfcc_fft(complexSpectrum):
powerSpectrum = (abs(complexSpectrum) ** 2) / nFFt
filteredSpectrum = numpy.dot(powerSpectrum, melFilterBank(nFFt))
logSpectrum = numpy.log(filteredSpectrum)
dctSpectrum = dct(logSpectrum, type=2) # MFCC :)
print(dctSpectrum)
def mfcc(audio, fs=16000, window_dt=0.025, dt=0.01, n_cepstra=13,
n_filters=26, n_fft=512, minfreq=0, maxfreq=None, preemph=0.97,
lift=22, energy=True, n_derivatives=0, deriv_spread=2):
"""Compute MFCC features from an audio signal.
Parameters
----------
audio : array_like (N, 1)
The audio signal from which to compute features.
fs : float, optional
The samplerate of the signal we are working with. Default: 16000
window_dt : float, optional
The length of the analysis window in seconds.
Default: 0.025 (25 milliseconds)
dt : float, optional
The step between successive windows in seconds.
Default: 0.01 (10 milliseconds)
n_cepstra : int, optional
The number of cepstral coefficients to return. Default: 13
n_filters : int, optional
The number of filters in the filterbank. Default: 26
n_fft : int, optional
The FFT size. Default: 512
minfreq : int, optional
Lowest band edge of Mel filters, in Hz. Default: 0
maxfreq : int, optional
highest band edge of mel filters, in Hz. Default: fs / 2
preemph : float, optional
Apply preemphasis filter with preemph as coefficient; 0 is no filter.
Default: 0.97
lifter : float, optional
Apply a lifter to final cepstral coefficients; 0 is no lifter.
Default: 22.
energy : bool, optional
If this is true, the zeroth cepstral coefficient is replaced with the
log of the total frame energy. Default: True
n_derivatives : int, optional
The number of derivatives to include in the feature vector.
Affects the shape of the returned array. Default: 0
deriv_spread : int, optional
The spread of the derivatives to includ in the feature vector.
Greater spread uses more frames to compute the derivative.
Default: 2
Returns
-------
A numpy array of shape (audio.shape[0], n_cepstra * (1 + n_derviatives)
containing features. Each row holds 1 feature vector.
"""
feat, energy_ = fbank(
audio, fs, window_dt, dt, n_filters, n_fft, minfreq, maxfreq, preemph)
feat = np.log(feat)
feat = dct(feat, type=2, axis=1, norm='ortho')[:, :n_cepstra]
feat = lifter(feat, lift)
if energy:
# replace first cepstral coefficient with log of frame energy
feat[:, 0] = np.log(energy_)
target = feat
derivs = []
for i in range(n_derivatives):
derivs.append(derivative(target, deriv_spread))
target = derivs[-1]
return np.hstack([feat] + derivs)
def compute(self):
qs = self.extrapolation.x
iqs = self.extrapolation.y
q = self.data.x
background = self.background
xs = np.pi*np.arange(len(qs),dtype=np.float32)/(q[1]-q[0])/len(qs)
self.ready(delay=0.0)
self.update(msg="Fourier transform in progress.")
self.ready(delay=0.0)
if self.check_if_cancelled(): return
try:
# ----- 1D Correlation Function -----
gamma1 = dct((iqs-background)*qs**2)
Q = gamma1.max()
gamma1 /= Q
if self.check_if_cancelled(): return
# ----- 3D Correlation Function -----
# gamma3(R) = 1/R int_{0}^{R} gamma1(x) dx
# trapz uses the trapezium rule to calculate the integral
mask = xs <= 200.0 # Only calculate gamma3 up to x=200 (as this is all that's plotted)
# gamma3 = [trapz(gamma1[:n], xs[:n])/xs[n-1] for n in range(2, len(xs[mask]) + 1)]j
# gamma3.insert(0, 1.0) # Gamma_3(0) is defined as 1
n = len(xs[mask])
gamma3 = cumtrapz(gamma1[:n], xs[:n])/xs[1:n]
gamma3 = np.hstack((1.0, gamma3)) # Gamma_3(0) is defined as 1
if self.check_if_cancelled(): return
# ----- Interface Distribution function -----
idf = dct(-qs**4 * (iqs-background))
if self.check_if_cancelled(): return
# Manually calculate IDF(0.0), since scipy DCT tends to give us a
# very large negative value.
# IDF(x) = int_0^inf q^4 * I(q) * cos(q*x) * dq
# => IDF(0) = int_0^inf q^4 * I(q) * dq
idf[0] = trapz(-qs**4 * (iqs-background), qs)
idf /= Q # Normalise using scattering invariant
except Exception as e:
import logging
logger = logging.getLogger(__name__)
logger.error(e)
self.update(msg="Fourier transform failed.")
self.complete(transforms=None)
return
if self.isquit():
return
self.update(msg="Fourier transform completed.")
transform1 = Data1D(xs, gamma1)
transform3 = Data1D(xs[xs <= 200], gamma3)
idf = Data1D(xs, idf)
transforms = (transform1, transform3, idf)
self.complete(transforms=transforms)
from scipy.fftpack import dct, idct
import math
if __name__ == '__main__':
syllable_dict = Utility.load_obj(
'/work/w2/decha/Data/GPR_speccom_data/Interspeech2017/syllable_dictionary_data_with_delta_deltadelta.pkl'
)
for syl in syllable_dict:
print syl
lf0 = syllable_dict[syl][0]
y = 0.0
for n, f in enumerate(lf0):
y = y + f * math.cos(math.pi * 0 * (2.0 * n + 1) /
(2.0 * len(lf0)))
W = PoGUtility.generate_W_for_DCT(len(lf0), len(lf0))
lf0_dct = dct(lf0, norm='ortho')
print lf0_dct
sys.exit()
pass