Signal processing (scipy.signal)¶
Convolution¶
| convolve (in1, in2[, mode]) | Convolve two N-dimensional arrays. |
| correlate (in1, in2[, mode]) | Cross-correlate two N-dimensional arrays. |
| fftconvolve (in1, in2[, mode]) | Convolve two N-dimensional arrays using FFT. See convolve. |
| convolve2d (in1, in2[, mode, boundary, ...]) | Convolve two 2-dimensional arrays. |
| correlate2d (in1, in2[, mode, boundary, ...]) | Cross-correlate two 2-dimensional arrays. |
| sepfir2d () | sepfir2d(input, hrow, hcol) -> output |
B-splines¶
| bspline (x, n) | bspline(x,n): B-spline basis function of order n. uses numpy.piecewise and automatic function-generator. |
| gauss_spline (x, n) | Gaussian approximation to B-spline basis function of order n. |
| cspline1d (signal[, lamb]) | Compute cubic spline coefficients for rank-1 array. |
| qspline1d (signal[, lamb]) | Compute quadratic spline coefficients for rank-1 array. |
| cspline2d () | cspline2d(input {, lambda, precision}) -> ck |
| qspline2d () | qspline2d(input {, lambda, precision}) -> qk |
| spline_filter (Iin[, lmbda]) | Smoothing spline (cubic) filtering of a rank-2 array. |
Filtering¶
| order_filter (a, domain, rank) | Perform an order filter on an N-dimensional array. |
| medfilt (volume[, kernel_size]) | Perform a median filter on an N-dimensional array. |
| medfilt2 | |
| wiener (im[, mysize, noise]) | Perform a Wiener filter on an N-dimensional array. |
| symiirorder1 () | symiirorder1(input, c0, z1 {, precision}) -> output |
| symiirorder2 () | symiirorder2(input, r, omega {, precision}) -> output |
| lfilter (b, a, x[, axis, zi]) | Filter data along one-dimension with an IIR or FIR filter. |
| deconvolve (signal, divisor) | Deconvolves divisor out of signal. |
| hilbert (x[, N]) | Compute the analytic signal. |
| get_window (window, Nx[, fftbins]) | Return a window of length Nx and type window. |
| detrend (data[, axis, type, bp]) | Remove linear trend along axis from data. |
| resample (x, num[, t, axis, window]) | Resample to num samples using Fourier method along the given axis. |
Filter design¶
| remez (numtaps, bands, desired[, weight, Hz, type, ...]) | Calculate the minimax optimal filter using Remez exchange algorithm. |
| firwin (N, cutoff[, width, window]) | FIR Filter Design using windowed ideal filter method. |
| iirdesign (wp, ws, gpass, gstop[, analog, ftype, output]) | Complete IIR digital and analog filter design. |
| iirfilter (N, Wn[, rp, rs, btype, analog, ...]) | IIR digital and analog filter design given order and critical points. |
| freqs (b, a[, worN, plot]) | Compute frequency response of analog filter. |
| freqz (b[, a, worN, whole, ...]) | Compute frequency response of a digital filter. |
| unique_roots (p[, tol, rtype]) | Determine the unique roots and their multiplicities in two lists |
| residue (b, a[, tol, rtype]) | Compute partial-fraction expansion of b(s) / a(s). |
| residuez (b, a[, tol, rtype]) | Compute partial-fraction expansion of b(z) / a(z). |
| invres (r, p, k[, tol, rtype]) | Compute b(s) and a(s) from partial fraction expansion: r,p,k |
Matlab-style IIR filter design¶
| butter (N, Wn[, btype, analog, output]) | Butterworth digital and analog filter design. |
| buttord (wp, ws, gpass, gstop[, analog]) | Butterworth filter order selection. |
| cheby1 (N, rp, Wn[, btype, analog, output]) | Chebyshev type I digital and analog filter design. |
| cheb1ord (wp, ws, gpass, gstop[, analog]) | Chebyshev type I filter order selection. |
| cheby2 (N, rs, Wn[, btype, analog, output]) | Chebyshev type I digital and analog filter design. |
| cheb2ord (wp, ws, gpass, gstop[, analog]) | Chebyshev type II filter order selection. |
| ellip (N, rp, rs, Wn[, btype, analog, output]) | Elliptic (Cauer) digital and analog filter design. |
| ellipord (wp, ws, gpass, gstop[, analog]) | Elliptic (Cauer) filter order selection. |
| bessel (N, Wn[, btype, analog, output]) | Bessel digital and analog filter design. |
Linear Systems¶
| lti | Linear Time Invariant class which simplifies representation. |
| lsim (system, U, T[, X0, interp]) | Simulate output of a continuous-time linear system. |
| impulse (system[, X0, T, N]) | Impulse response of continuous-time system. |
| step (system[, X0, T, N]) | Step response of continuous-time system. |
LTI Reresentations¶
| tf2zpk (b, a) | Return zero, pole, gain (z,p,k) representation from a numerator, denominator representation of a linear filter. |
| zpk2tf (z, p, k) | Return polynomial transfer function representation from zeros and poles |
| tf2ss (num, den) | Transfer function to state-space representation. |
| ss2tf (A, B, C, D[, input]) | State-space to transfer function. |
| zpk2ss (z, p, k) | Zero-pole-gain representation to state-space representation |
| ss2zpk (A, B, C, D[, input]) | State-space representation to zero-pole-gain representation. |
Waveforms¶
| sawtooth (t[, width]) | Returns a periodic sawtooth waveform with period 2*pi which rises from -1 to 1 on the interval 0 to width*2*pi and drops from 1 to -1 on the interval width*2*pi to 2*pi width must be in the interval [0,1] |
| square (t[, duty]) | Returns a periodic square-wave waveform with period 2*pi which is +1 from 0 to 2*pi*duty and -1 from 2*pi*duty to 2*pi duty must be in the interval [0,1] |
| gausspulse (t[, fc, bw, bwr, tpr, ...]) | Return a gaussian modulated sinusoid: exp(-a t^2) exp(1j*2*pi*fc) |
| chirp (t[, f0, t1, f1, method, ...]) | Frequency-swept cosine generator. |
Window functions¶
| boxcar (M[, sym]) | The M-point boxcar window. |
| triang (M[, sym]) | The M-point triangular window. |
| parzen (M[, sym]) | The M-point Parzen window. |
| bohman (M[, sym]) | The M-point Bohman window. |
| blackman (M[, sym]) | The M-point Blackman window. |
| blackmanharris (M[, sym]) | The M-point minimum 4-term Blackman-Harris window. |
| nuttall (M[, sym]) | A minimum 4-term Blackman-Harris window according to Nuttall. |
| flattop (M[, sym]) | The M-point Flat top window. |
| bartlett (M[, sym]) | The M-point Bartlett window. |
| hann (M[, sym]) | The M-point Hanning window. |
| barthann (M[, sym]) | Return the M-point modified Bartlett-Hann window. |
| hamming (M[, sym]) | The M-point Hamming window. |
| kaiser (M, beta[, sym]) | Return a Kaiser window of length M with shape parameter beta. |
| gaussian (M, std[, sym]) | Return a Gaussian window of length M with standard-deviation std. |
| general_gaussian (M, p, sig[, sym]) | Return a window with a generalized Gaussian shape. |
| slepian (M, width[, sym]) | Return the M-point slepian window. |
