Exemplo n.º 1
0
def w_frequencies(state, spacing):
    """
    This function calculates the FFT frequencies
    """
    nX = state.shape[0]
    nY = state.shape[1]
    return sp.meshgrid(2.0 * sp.pi * pl.fftfreq(nX, spacing), 2.0 * sp.pi * pl.fftfreq(nY, spacing))
Exemplo n.º 2
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	def PhaseSpectPlotter(self, f, f2, wg, Res, comp, reg, TIM, out_name = None, frmt='png'):
                Nx, Ny, Lx, Ly, N_nodes = self.OptsExtr()
                ndav, int_step, cc = self.more_opts_extr()
                actual_time = int(TIM)*int_step/ndav
                Fmin, Fmax, res, res_x, res_y, clrmap, freq_min, freq_max,freq2_min, freq2_max = Res
#                freq_min,freq_max = float(freq_min), float(freq_max)
                absc_min, absc_max, ord_min, ord_max, absc_name, ord_name = comp
		try:
                	if len(res.split('x'))>1:
	                        resX = int(res.split('x')[0])
                        	resY = int(res.split('x')[1])
                	else:
	                        resX = int(res)
                        	resY = resX
		except ValueError:
			self.stat_print("something's wrong with resolution")			
                if absc_name == 'y' and absc_max==0. and absc_min==0.:
                        L_absc = 0.
                        R_absc=Ly
                elif absc_name == 'x' and absc_max==0. and absc_min==0.:
                        L_absc = 0.
                        R_absc=Lx
                else:
                        R_absc=absc_max
                        L_absc=absc_min

                if ord_name == 'y' and ord_max==0. and ord_min == 0.:
                        L_ord = 0.
                        R_ord=Ly

                elif ord_name == 'x' and ord_max==0. and ord_min == 0.:
                        L_ord = 0.
                        R_ord=Lx
                else:
                        R_ord=ord_max
                        L_ord=ord_min
                a,b,c = np.histogram2d(f2, f, bins= ( resY, resX ), range=[[L_ord, R_ord],[L_absc, R_absc]],normed=False, weights = resX*resY*wg)
                if Fmin == 0.:
                         Fmin = None
                if Fmax == 0.:
                        Fmax= None
                aa = abs(fft2(a))[:len(b)/2,:len(c)/2]
                freqX = fftfreq(len(c),c[1]-c[0])[:len(c)/2]
                freqY = fftfreq(len(b),b[1]-b[0])[:len(b)/2]
                self.fig.clear()
		sp = self.fig.add_subplot(111, title='time step = '+str(actual_time)+r'$ \tau_0$')
		pplt = sp.imshow(aa,vmin=Fmin,vmax=Fmax,extent=[freqX[0],freqX[-1],freqY[0],freqY[-1]], aspect = 'auto', interpolation=intrp,cmap = clrmap, origin='lower')
                sp.axis((freq_min,freq_max,freq2_min, freq2_max))
                self.fig.colorbar(pplt)
		self.canvas.show()
Exemplo n.º 3
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	def SpectPlotter(self,f,Res, reg, TIM = None, out_name = None , flag3D='2D',frmt='png'):
                Nx, Ny, Lx, Ly, N_nodes = self.OptsExtr()
                ndav, int_step, cc = self.more_opts_extr()
                actual_time = int(TIM)*int_step/ndav
                Nx1, Nx2, Ny1, Ny2, Fmin, Fmax, res, res_x, res_y, clrmap, freq_min, freq_max,freq2_min, freq2_max = Res
                res, res_x, res_y, Nx1, Nx2, Ny1, Ny2, freq_min,freq_max = int(res), int(res_x), int(res_y), float(Nx1),float(Nx2),float(Ny1),float(Ny2), float(freq_min), float(freq_max)
		Nx1=int(np.rint(Nx1*Nx/Lx));Nx2=int(np.rint(Nx2*Nx/Lx)) 
                Ny1=int(np.rint(Ny1*Ny/Ly));Ny2=int(np.rint(Ny2*Ny/Ly))
	        dX=Lx/Nx
	        dY=Ly/Ny
		if Fmin == 0.:
                	Fmin = None
                if Fmax == 0.:
                        Fmax= None
                if Nx2==0:
                        Nx2 = Nx-1
                if Ny2==0:
                        Ny2 = Ny-1
		dx, dy = self.StepDef(Res[:-4])
		dx=int(np.ceil(dx/2.))
		dy=int(np.ceil(dy/2.))
               	aa = abs(fft2(f[Ny1:Ny2,Nx1:Nx2]))[:(Ny2-Ny1)/2:dy,:(Nx2-Nx1)/2:dx]
               	freqX = fftfreq(Nx2-Nx1, dX)[:(Nx2-Nx1)/2:dx]
               	freqY = fftfreq(Ny2-Ny1, dY)[:(Ny2-Ny1)/2:dy]
		self.fig.clear()
		if flag3D == '3D':
                        XX, YY = np.meshgrid(freqX, freqY)
			Xmin_ind = int(len(freqX)*freq_min/freqX[-1])
			Xmax_ind = int(len(freqX)*freq_max/freqX[-1])
                        Ymin_ind = int(len(freqY)*freq_min/freqY[-1])
                        Ymax_ind = int(len(freqY)*freq_max/freqY[-1])
                        sp = Axes3D(self.fig,  title='time step = '+str(actual_time)+r'$ \tau_0$')
#			sp.set_zlim3d(Fmin,Fmax)
#			sp.set_xlim3d(freq_min,freq_max)
			sp.set_ylim3d(freq_min,freq_max)
                        sp.plot_surface(XX[Ymin_ind:Ymax_ind,Xmin_ind:Xmax_ind],YY[Ymin_ind:Ymax_ind,Xmin_ind:Xmax_ind],aa[Ymin_ind:Ymax_ind,Xmin_ind:Xmax_ind],cmap = clrmap, linewidth=0)
                if flag3D == '2D':
			sp = self.fig.add_subplot(111, title='time step = '+str(actual_time)+r'$ \tau_0$')
               		pplt = sp.imshow(aa,vmin=Fmin,vmax=Fmax,extent=[freqX[0],freqX[-1],freqY[0],freqY[-1]], aspect = 'auto', interpolation=intrp,cmap = clrmap, origin='lower')
               		sp.set_xlabel(r'$k_x/k_0$',fontsize=14)
               		sp.set_ylabel(r'$k_y/k_0$',fontsize=14)
               		sp.axis((freq_min,freq_max,freq2_min, freq2_max))
               		self.fig.colorbar(pplt)
		self.canvas.show()
                if reg == 'wrt':
                        self.fig.savefig('./img/'+self.out_name_add+'_'+out_name+'_s_'+TIM+'.'+frmt)
                        clf()
                return
Exemplo n.º 4
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        def TemporalSpectPlot(self, d,wmin,wmax):
                self.fig.clear()
		sp = Axes3D(self.fig)
		ndav, int_step, cc = self.more_opts_extr()
		ll = len(d[0])-1
		for i in ll-np.arange(ll):
	        	y=i*np.ones(len(d)/2)
	        	sp.plot(fftfreq(len(d), (d[1,0]-d[0,0])/(ndav/cc))[:len(d)/2], y ,abs(rfft(d[:,i]))[:-1])
	        	sp.set_xlim3d(wmin,wmax)
		sp.set_xlabel(r'$\omega/\omega_0$',fontsize=14)
		sp.set_ylabel('node index',fontsize=14)
		sp.set_zlabel(r'$\langle E_z \rangle_\omega$',fontsize=14)
		self.canvas.show()
Exemplo n.º 5
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    def __plot_frequency(audio, rate=rs.RATE):
        samples = audio.shape[0]
        data_fft = fft(audio)

        fft_abs = abs(data_fft)
        freq = pylab.fftfreq(samples, 1 / rate)

        plt.xlim([10, rate / 2])
        plt.xscale('log')
        plt.grid(True)
        plt.xlabel('Frequency (Hz)')
        plt.plot(freq, fft_abs)
        plt.show()
 def calcFourier(self, yout, tspan):
     '''
     Calculate FFT and return magnitude spectrum and frequencies
     
     freqs === Python array
     aMags === numpy array
     rMags === numpy array
     '''
     ActEC = yout[:, 3]
     RepEC = yout[:, 9]
     freqs = fftfreq(len(tspan), tspan[1] - tspan[0])
     aMags = array(abs((fft(ActEC))))
     rMags = array(abs((fft(RepEC))))
     return freqs, aMags, rMags
Exemplo n.º 7
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    def fitOscillations(self, harmonics=None):
        """"""
        t = self.variableArray
        dt = t[1] - t[0]
        data = self.orders[0]

        amp_guess = (data.max() - data.min()) / 2
        weights = abs(py.fft(data))**2
        index = weights.argmax() if harmonics is None else harmonics
        f_guess = py.fftfreq(t[-1] - t[0], dt)[index]
        offset_guess = data.mean()
        phi_guess = py.arccos(data[0] - offset_guess)
        guesses = [amp_guess, f_guess, phi_guess, offset_guess]
        self.guesses = guesses

        coeffs, matcov = curve_fit(self.func, t, data, self.guesses)
        self.coeffs = coeffs
        self.matcov = matcov
Exemplo n.º 8
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def fft_filter(time, signal, result, window_func=pl.hanning, \
               samp_freq=8, freq_limit = (0.0033, 0.04)):
    """
    Applies an Band Pass filter to signal in the frequency domain and returns 
        filterd PSD.
    In:
        time : ndarray, relative R occurance times vector
        signal : ndarray, HRV vector
        result : dict, current fragment info (see process function)
        samp_freq : int, signal sample frequency
        freq_limit : tuple, (min, max) frequencies for band pass filter
    Out:
        freq_filt_log : ndarray, frequency in logarithm scale
        spec_filt_log : ndarray, PSD in logarithm scale
    """

    window = window_func(len(signal)) # window
    signal_wed = signal * window

    n = len(signal)/2

    spec = (pl.absolute(pl.rfft(signal_wed))[:-1]/(n))**2 # entering to frequency domain        
    freq = pl.fftfreq(len(signal), 1.0/samp_freq)[:n] # get freqs axis values
    spec_filt = pl.zeros(spec.shape, dtype='float')
    freq_filt = pl.zeros(freq.shape, dtype='float') # same for filtered

    for i in range(n):  # filter by frequency
        if pl.logical_and(freq_limit[0] <= abs(freq[i]), abs(freq[i]) <= freq_limit[1]):
            freq_filt[i] = freq[i]
            spec_filt[i] = spec[i]
        else:
            freq_filt[i] = 0 # fill invalid frequencies with 0 value
            spec_filt[i] = 0

    spec_filt = pl.ma.masked_equal(spec_filt,0) # cutt off invalid values
    spec_filt = pl.ma.compressed(spec_filt)
    freq_filt = pl.ma.masked_equal(freq_filt,0)
    freq_filt = pl.ma.compressed(freq_filt)

    spec_filt_log = pl.log10(spec_filt) # for output
    freq_filt_log = pl.log10(freq_filt)

    return freq_filt_log, spec_filt_log
Exemplo n.º 9
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def freqz(sosmat, nsamples=44100, sample_rate=44100, plot=True):
    """Plots Frequency response of sosmat."""
    from pylab import np, plt, fft, fftfreq
    x = np.zeros(nsamples)
    x[nsamples/2] = 0.999
    y, states = sosfilter_double_c(x, sosmat)
    Y = fft(y)
    f = fftfreq(len(x), 1.0/sample_rate)
    if plot:
        plt.grid(True)
        plt.axis([0, sample_rate / 2, -100, 5])
        L = 20*np.log10(np.abs(Y[:len(x)/2]) + 1e-17)
        plt.semilogx(f[:len(x)/2], L, lw=0.5)
        plt.hold(True)
        plt.title('freqz sos filter')
        plt.xlabel('Frequency / Hz')
        plt.ylabel('Damping /dB(FS)')
        plt.xlim((10, sample_rate/2))
        plt.hold(False)
    return x, y, f, Y
Exemplo n.º 10
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def freqz(sosmat, nsamples=44100, sample_rate=44100, plot=True):
    """Plots Frequency response of sosmat."""
    from pylab import np, plt, fft, fftfreq
    x = np.zeros(nsamples)
    x[int(nsamples/2)] = 0.999
    y, states = sosfilter_double_c(x, sosmat)
    Y = fft(y)
    f = fftfreq(len(x), 1.0/sample_rate)
    if plot:
        plt.grid(True)
        plt.axis([0, sample_rate / 2, -100, 5])
        L = 20*np.log10(np.abs(Y[:int(len(x)/2)]) + 1e-17)
        plt.semilogx(f[:int(len(x)/2)], L, lw=0.5)
        plt.hold(True)
        plt.title(u'freqz sos filter')
        plt.xlabel('Frequency / Hz')
        plt.ylabel(u'Damping /dB(FS)')
        plt.xlim((10, sample_rate/2))
        plt.hold(False)
    return x, y, f, Y
Exemplo n.º 11
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        def SpecEvolPlot(self, d,windwidth,step,wmin,wmax, rowind):
                dd=np.array([])
		ndav, int_step, cc = self.more_opts_extr()
                Tim=np.arange(windwidth, len(d)-windwidth,step)
                for n in Tim:
                        dd=np.append(dd, np.abs(rfft(d[n-windwidth:n+windwidth,rowind]))[:-1])
                Freq=fftfreq(2*windwidth, (d[1,0]-d[0,0])/(ndav/cc))[:windwidth]
		if wmax!=0:
                	nFrqMax= int(wmax/(Freq[1]-Freq[0]))
		else:
			nFrqMax=len (Freq)
                nFrqMin= int(wmin/(Freq[1]-Freq[0]))
                dd=dd.reshape(len(Tim),len(Freq))[:,nFrqMin:nFrqMax].transpose()
                self.fig.clear()
                sp = self.fig.add_subplot(111)
                pplt = sp.imshow(dd, origin='lower',aspect='auto',extent=[d[Tim[0],0]/(ndav/cc), d[Tim[-1],0]/(ndav/cc),Freq[nFrqMin],Freq[nFrqMax]])
		sp.set_xlabel(r'$t/\tau_0$',fontsize=14)
		sp.set_ylabel(r'$\omega/\omega_0$',fontsize=14)
		self.fig.colorbar(pplt)
                self.canvas.show()
                return
Exemplo n.º 12
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    def _calculatefdData(self,tdData):
        #no need to copy it before (access member variable is ugly but shorter)

        #calculate the fft of the X channel
        fd=py.fft(tdData.getEX())
        #calculate absolute and phase values
        fdabs=abs(fd)
        fdph=abs(py.unwrap(py.angle(fd)))
        #calculate frequency axis
        dfreq=py.fftfreq(tdData.num_points,tdData.dt)
        #extrapolate phase to 0 and 0 frequency
        fdph=self.removePhaseOffset(dfreq,fdph)
        #set up the fdData array
        t=py.column_stack((dfreq,fd.real,fd.imag,fdabs,fdph))
        
        #this is so not nice!
        self.fdData=t
        unc=self.calculateFDunc()
        t=self.getcroppedData(t,0,unc[-1,0])
        
        #interpolate uncertainty        
        intpunc=interp1d(unc[:,0],unc[:,1:],axis=0)        
        unc=intpunc(t[:,0])
        return py.column_stack((t,unc))
x_max = 10e-6
y_min = -10e-6
y_max = 10e-6

nx = 512
ny = 512

x = np.linspace(x_min, x_max, nx, endpoint=False)
y = np.linspace(y_min, y_max, ny, endpoint=False)
X, Y = np.meshgrid(x, y)

dx = x[1] - x[0]
dy = y[1] - y[0]

# Fourier space:
kx = 2 * pi * pl.fftfreq(len(x), d=dx)
ky = 2 * pi * pl.fftfreq(len(y), d=dy)
Kx, Ky = np.meshgrid(kx, ky)

# Laplace operator in Fourier space:
f_laplacian = -(Kx**2 + Ky**2)

# The Harmonic trap at our gridpoints, (n_elements x N):
V = 0.5 * m * omega**2 * (X**2 + Y**2)


@inmain_decorator()
def plot(i, t, psi):
    if SHOW_PLOT:
        rho_plot = np.abs(psi)**2
        phase_plot = np.angle(psi)
Exemplo n.º 14
0
#! /usr/bin/env python

from pylab import figure, loadtxt, arange, ones, fftfreq, rfft
from mpl_toolkits.mplot3d import Axes3D

fig = figure()
ax = Axes3D(fig)

inp = raw_input("input xfel_xx number xx and node index:").split(' ')

xx = inp[0]

node = inp[1]

d = loadtxt('../xfel_' + xx + '/etc/fld_00' + node + '_000')

ll = len(d[0]) - 1

for i in ll - arange(ll):
    y = i * ones(len(d) / 2)
    ax.plot(fftfreq(len(d), 0.04)[:len(d) / 2], y, abs(rfft(d[:, i]))[:-1])
    ax.set_xlim3d(0.9, 1.1)
    fig.show()

fig.show()

raw_input("Press Enter to continue...")
Exemplo n.º 15
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	def SpectSpacePlotter(self,f,Res, reg, TIM = None, out_name = None, flag3D='2D', frmt='png'):
		Nx, Ny, Lx, Ly, N_nodes = self.OptsExtr()
                ndav, int_step, cc = self.more_opts_extr()
                actual_time = int(TIM)*int_step/ndav
                Nx1, Nx2, Ny1, Ny2, Fmin, Fmax, res, res_x, res_y, clrmap, freq_min, freq_max,freq2_min, freq2_max, ax = Res
                res, res_x, res_y, Nx1, Nx2, Ny1, Ny2,freq_max = int(res), int(res_x), int(res_y), float(Nx1),float(Nx2),float(Ny1),float(Ny2), float(freq_max)
                Nx1=int(np.rint(Nx1*Nx/Lx));Nx2=int(np.rint(Nx2*Nx/Lx))
                Ny1=int(np.rint(Ny1*Ny/Ly));Ny2=int(np.rint(Ny2*Ny/Ly))
                dX=Lx/Nx
                dY=Ly/Ny
		X=np.linspace(0,Lx,Nx)
                Y=np.linspace(0,Ly,Ny)
		dx, dy = self.StepDef(Res[:-5])
                if Fmin == 0.:
                        Fmin = None
                if Fmax == 0.:
                        Fmax= None
                if Nx2==0:
                        Nx2 = Nx-1
                if Ny2==0:
                        Ny2 = Ny-1
        	if ax=='x':
	                Nn1=Nx
                	Nn2=Ny
                	Xx=X
                	Yy=Y
                	Ll=Ly
			ddx=int(np.ceil(dx/2.))
                	ddy=dy
			freq_min, freq_max = freq_min, freq_max
        	elif ax=='y':
			f=f.transpose()
	                Nn1=np.shape(f)[1]
                	Nn2=Nx
                	Xx=Y
                	Yy=X
                	Ll=Lx
                	ddx=int(np.ceil(dy/2.))
                	ddy=dx
			freq_min, freq_max = freq2_min, freq2_max
        	datFFT =  np.zeros((Nn2, Nn1/2+1))
        	XFFT = abs(fftfreq( Nn1, Xx[1])[:Nn1/2+1])
        	for j in np.arange(Nn2):
	                datFFT[j] = abs(rfft(f[j]))
		myextent=[XFFT[0],XFFT[-1],Yy[0],Yy[-1]]
                self.fig.clear()
                if flag3D == '3D':
                        XX, YY = np.meshgrid(XFFT, Yy)
                        sp = Axes3D(self.fig,  title='time step = '+str(actual_time)+r'$ \tau_0$')
                        sp.plot_surface(XX,YY,datFFT, cmap = clrmap, linewidth=0)
			sp.set_zlim3d(Fmin,Fmax)
                if flag3D == '2D':
                	sp = self.fig.add_subplot(111, title='time step = '+str(actual_time)+r'$ \tau_0$')
	        	if ax=='x':
                		sp.set_ylabel(r'$y/\lambda_0$',fontsize=14)
                		sp.set_xlabel(r'$k_x/k_0$',fontsize=14)
        		elif ax=='y':
	               		sp.set_ylabel(r'$x/\lambda_0$',fontsize=14)
                		sp.set_xlabel(r'$k_y/k_0$', fontsize=14)
	        	pplt = sp.imshow(datFFT[::ddy,::ddx],extent=myextent, aspect = 'auto', interpolation=intrp,origin='lower',vmin=Fmin, vmax=Fmax, cmap = clrmap)
	        	sp.axis((freq_min,freq_max,0,Ll))
                	self.fig.colorbar(pplt)
                self.canvas.show()
                if reg == 'wrt':
                        self.fig.savefig('./img/'+self.out_name_add+'_'+out_name+'_s'+ax+'_'+TIM+'.'+frmt)
                        clf()
                return
Exemplo n.º 16
0
def freqz(ofb, length_sec=6, ffilt=False, plot=True):
    """Computes the IR and FRF of a digital filter.

    Parameters
    ----------
    ofb : FractionalOctaveFilterbank object
    length_sec : scalar
        Length of the impulse response test signal.
    ffilt : bool
        Backard forward filtering. Effectiv order is doubled then.
    plot : bool
        Create Plots or not.

    Returns
    -------
    x : ndarray
        Impulse test signal.
    y : ndarray
        Impules responses signal of the filters.
    f : ndarray
        Frequency vector for the FRF.
    Y : Frequency response (FRF) of the summed filters.

    """
    from pylab import np, plt, fft, fftfreq
    x = np.zeros(length_sec * ofb.sample_rate)
    x[int(length_sec * ofb.sample_rate / 2)] = 0.9999

    if not ffilt:
        y, states = ofb.filter_mimo_c(x)
        y = y[:, :, 0]
    else:
        y, states = ofb.filter(x, ffilt=ffilt)
    s = np.zeros(len(x))
    len_x_2 = int(len(x) / 2)
    for i in range(y.shape[1]):
        s += y[:, i]
        X = fft(y[:, i])  # sampled frequency response
        f = fftfreq(len(x), 1.0 / ofb.sample_rate)
        if plot:
            fig = plt.figure('freqz filter bank')
            plt.grid(True)
            plt.axis([0, ofb.sample_rate / 2, -100, 5])

            L = 20 * np.log10(np.abs(X[:len_x_2]) + 1e-17)
            plt.semilogx(f[:len_x_2], L, lw=0.5)

    Y = fft(s)
    if plot:
        plt.title(u'freqz() Filter Bank')
        plt.xlabel('Frequency / Hz')
        plt.ylabel(u'Damping /dB(FS)')
        plt.xlim((10, ofb.sample_rate / 2))
        plt.figure('sum')
        L = 20 * np.log10(np.abs(Y[:len_x_2]) + 1e-17)
        plt.semilogx(f[:len_x_2], L, lw=0.5)

        level_input = 10 * np.log10(np.sum(x**2))
        level_output = 10 * np.log10(np.sum(s**2))
        plt.axis([5, ofb.sample_rate / 1.8, -50, 5])
        plt.grid(True)
        plt.title('Sum of filter bands')
        plt.xlabel('Frequency / Hz')
        plt.ylabel(u'Damping /dB(FS)')

        print('sum level', level_output, level_input)

    return x, y, f, Y
Exemplo n.º 17
0
    convolution = numpy.fft.ifft(
        pl.multiply(ftilda, gtilda)
    )  #Convolution using properties of fourier transforms and convolution
    return pl.divide(convolution, len(ftilda)) * T


a = tophat(t, 3, 5)
b = gaussian(t).tolist()
c = split_gaussian(t)

pl.figure("h(t)")
pl.plot(t, a, label="h(t)")
pl.plot(t, b, label="g(t)")
#pl.figure("convolution")
pl.plot(t, convolve(a, c), label="h(t)*g(t)")
pl.legend()

print(pl.trapz(convolve(a, c), t,
               dx=0.0001))  #finds area under convolution curve

pl.figure()
pl.plot(pl.fftfreq(N, d=dT),
        numpy.fft.fft(a),
        label=r"$\mathcal{F}(h(t))(\omega)$")
pl.legend()
pl.figure()
pl.plot(pl.fftfreq(N, d=dT),
        numpy.fft.fft(b),
        label=r"$\mathcal{F}(g(t))(\omega)$")
pl.legend()
Exemplo n.º 18
0
def freqz(ofb, length_sec=6, ffilt=False, plot=True):
    """Computes the IR and FRF of a digital filter.

    Parameters
    ----------
    ofb : FractionalOctaveFilterbank object
    length_sec : scalar
        Length of the impulse response test signal.
    ffilt : bool
        Backard forward filtering. Effectiv order is doubled then.
    plot : bool
        Create Plots or not.

    Returns
    -------
    x : ndarray
        Impulse test signal.
    y : ndarray
        Impules responses signal of the filters.
    f : ndarray
        Frequency vector for the FRF.
    Y : Frequency response (FRF) of the summed filters.

    """
    from pylab import np, plt, fft, fftfreq
    x = np.zeros(length_sec*ofb.sample_rate)
    x[length_sec*ofb.sample_rate/2] = 0.9999
    if not ffilt:
        y, states = ofb.filter_mimo_c(x)
        y = y[:, :, 0]
    else:
        y, states = ofb.filter(x, ffilt=ffilt)
    s = np.zeros(len(x))
    for i in range(y.shape[1]):
        s += y[:, i]
        X = fft(y[:, i])  # sampled frequency response
        f = fftfreq(len(x), 1.0/ofb.sample_rate)
        if plot:
            fig = plt.figure('freqz filter bank')
            plt.grid(True)
            plt.axis([0, ofb.sample_rate / 2, -100, 5])
            L = 20*np.log10(np.abs(X[:len(x)/2]) + 1e-17)
            plt.semilogx(f[:len(x)/2], L, lw=0.5)
            plt.hold(True)

    Y = fft(s)
    if plot:
        plt.title('freqz() Filter Bank')
        plt.xlabel('Frequency / Hz')
        plt.ylabel('Damping /dB(FS)')
        plt.xlim((10, ofb.sample_rate/2))
        plt.hold(False)


        plt.figure('sum')
        L = 20*np.log10(np.abs(Y[:len(x)/2]) + 1e-17)
        plt.semilogx(f[:len(x)/2], L, lw=0.5)
        level_input = 10*np.log10(np.sum(x**2))
        level_output = 10*np.log10(np.sum(s**2))
        plt.axis([5, ofb.sample_rate/1.8, -50, 5])
        plt.grid(True)
        plt.title('Sum of filter bands')
        plt.xlabel('Frequency / Hz')
        plt.ylabel('Damping /dB(FS)')

        print('sum level', level_output, level_input)

    return x, y, f, Y
Exemplo n.º 19
0
        if not respaddr: raise RuntimeError
    except Exception,e:
        logging.error('Problems loading response file: %s => %s' % (filename, e))

    for rec in tr.iter_record():
        data = array( rec.trdata() )
        logging.debug( 'Total samples: %s ' % len(data) )

        npts = len(data)

        logging.debug('compute the one-dimensional discrete Fourier Transform')
        fft_values = fft(data)[0:int(npts/2)+1]

        # Return the Discrete Fourier Transform sample frequencies
        logging.debug('compute the Fourier Transform sample frequencies')
        freq = fftfreq(len(data), d=1.0/samprate)[range(0,npts/2+1)]

        # the last element is negative, because of the symmetry, but should
        # be positive
        fft_values[-1] *= -1


        convolved = []
        for f in freq:
            w = f * 2 * pi
            convolved.append( response._eval_response(respaddr, w ) )

        data = irfft( convolved * fft_values )

        logging.debug( 'Total samples: %s ' % len(data) )
        rec.trputdata( data )
Exemplo n.º 20
0
nsx_basic_header = nsx.read_basic_header(f_nsx)


lfp1 = nsx.read_electrode(f = f_nsx, 
               basic_header = nsx_basic_header,
               electrode = 14, 
               tstart_ms = 5000,
               t_dur_ms = 1000)
pylab.subplot(2,1,1)
t = pylab.arange(lfp1.size)/2000.
pylab.plot(t, lfp1)


offset = 0
t_window_ms = 500
N_wave = t_window_ms * 2
mean_ft = pylab.zeros(N_wave, dtype='float')
for n in range(100):
  lfp1 = nsx.read_electrode(f = f_nsx, 
               basic_header = nsx_basic_header,
               electrode = 14, 
               tstart_ms = t_window_ms*n + offset,
               t_dur_ms = t_window_ms)
  ft = pylab.absolute(pylab.fft(lfp1))
  mean_ft += ft

pylab.subplot(2,1,2)  
F = pylab.fftfreq(mean_ft.size, d = 1/2000.)
pylab.semilogy(F, mean_ft/50.)
pylab.xlabel('F (Hz)')
pylab.ylabel('Signal')
Exemplo n.º 21
0
#! /usr/bin/env python

from pylab import figure, loadtxt, arange, ones,fftfreq, rfft
from mpl_toolkits.mplot3d import Axes3D

fig = figure()
ax = Axes3D(fig)

inp = raw_input("input xfel_xx number xx and node index:").split(' ')

xx = inp[0]

node=inp[1]

d = loadtxt('../xfel_'+xx+'/etc/fld_00'+node+'_000')

ll = len(d[0])-1

for i in ll-arange(ll):
	y=i*ones(len(d)/2)
	ax.plot(fftfreq(len(d), 0.04)[:len(d)/2], y ,abs(rfft(d[:,i]))[:-1])
        ax.set_xlim3d(0.9,1.1)
        fig.show()

fig.show()

raw_input("Press Enter to continue...")
Exemplo n.º 22
0
f_nsx = open(nev_dir + ns3_fname, 'rb')
nsx_basic_header = nsx.read_basic_header(f_nsx)

lfp1 = nsx.read_electrode(f=f_nsx,
                          basic_header=nsx_basic_header,
                          electrode=14,
                          tstart_ms=5000,
                          t_dur_ms=1000)
pylab.subplot(2, 1, 1)
t = pylab.arange(lfp1.size) / 2000.
pylab.plot(t, lfp1)

offset = 0
t_window_ms = 500
N_wave = t_window_ms * 2
mean_ft = pylab.zeros(N_wave, dtype='float')
for n in range(100):
    lfp1 = nsx.read_electrode(f=f_nsx,
                              basic_header=nsx_basic_header,
                              electrode=14,
                              tstart_ms=t_window_ms * n + offset,
                              t_dur_ms=t_window_ms)
    ft = pylab.absolute(pylab.fft(lfp1))
    mean_ft += ft

pylab.subplot(2, 1, 2)
F = pylab.fftfreq(mean_ft.size, d=1 / 2000.)
pylab.semilogy(F, mean_ft / 50.)
pylab.xlabel('F (Hz)')
pylab.ylabel('Signal')