FOSSEE Signal Processing Toolbox

• ac2poly — Convert autocorrelation sequence to polynomial of prediction filter
• ac2rc — Convert autocorrelation sequence to reflection coefficients.
• arParEst —
• ar_psd — Calculate the power spectrum of the autoregressive model
• arburg — This function calculates coefficients of an autoregressive (AR) model of complex data.
• arch_fit — This functions fits an ARCH regression model to the time series Y using the scoring algorithm in Engle's original ARCH paper.
• arch_rnd — Simulate an ARCH sequence of length t with AR coefficients b and CH coefficients a.
• arch_test — perform a Lagrange Multiplier (LM) test of thenull hypothesis of no conditional heteroscedascity against the alternative of CH(P)
• arcov — Autoregressive all-pole model parameters — covariance method
• arma_rnd — Return a simulation of the ARMA model.
• armcov —
• aryule — This function fits an AR (p)-model with Yule-Walker estimates.
• autoreg_matrix — Given a time series (vector) Y, return a matrix with ones in the first column and the first K lagged values of Y in the other columns.
• barthannwin — This function returns the filter coefficients of a modified Bartlett-Hann window.
• bartlett — Generates a Bartlett window
• besselap — Return bessel analog filter prototype.
• besself — This function generates a Bessel filter.
• bilinear — Transform a s-plane filter specification into a z-plane specification
• bitrevorder —
• blackman — Generates a Blackman window
• blackmanharris — This function returns the filter coefficients of a Blackman-Harris window.
• blackmannuttall — This function returns the filter coefficients of a Blackman-Nuttall window.
• bohmanwin — This function returns the filter coefficients of a Bohman window.
• boxcar — This function returns the filter coefficients of a rectangular window.
• buffer — This function buffers the given data into a matrix of signal frames
• buttap — Design a lowpass analog Butterworth filter.
• butter — This function generates a Butterworth filter.
• buttord — /This function computes the minimum filter order of a Butterworth filter with the desired response characteristics.
• cceps — Return the complex cepstrum of the vector x
• cconv — [nargout,nargin]=argn();
• cell2sos — Converts a cell array to a second order section matrix
• cheb — Calculates the nth-order Chebyshev polynomial at the point x.
• cheb1ap — This function designs a lowpass analog Chebyshev type I filter.
• cheb1ord — This function computes the minimum filter order of a Chebyshev type I filter with the desired response characteristics.
• cheb2ap — This function designs a lowpass analog Chebyshev type II filter.
• cheb2ord — This function computes the minimum filter order of a Chebyshev type II filter with the desired response characteristics.
• chebwin — This function returns the filter coefficients of a Dolph-Chebyshev window.
• cheby1 — This function generates a Chebyshev type I filter with rp dB of passband ripple.
• cheby2 — This function generates a Chebyshev type II filter with rs dB of stopband attenuation.
• check — funcprot(0);
• chirp — This function evaluates a chirp signal at time t.
• cl2bp — Constrained L2 bandpass FIR filter design.
• clustersegment — This function calculates boundary indexes of clusters of 1’s.
• cmorwavf — funcprot(0);
• cohere — Estimate (mean square) coherence of signals "x" and "y"
• convmtx — n=double(n);
• corrmtx — Generate data matrix for autocorrelation matrix estimation
• cplxreal — Function to divide vector z into complex and real elements, removing the one of each complex conjugate pair.
• cpsd — This function estimates cross power spectrum of data x and y by the Welch (1967) periodogram/FFT method.
• cummax — Cumulative maximum
• cummin — Cumulative minimum
• czt — Chirp Z Transform
• db —
• db2pow —
• dctmtx —
• decimate — rhs = argn(2)
• detrend1 — This function removes the best fit of a polynomial of order P from the data X
• dftmtx —
• diffpara — Return the estimator D for the differencing parameter of an integrated time series
• diric —
• downsample — This function downsamples the signal by selecting every nth element.
• dst1 — Computes the type I discrete sine transform of x
• durbinlevinson — Perform one step of the Durbin-Levinson algorithm..
• dutycycle —
• dwt — Discrete wavelet transform (1D)
• ellip — This function generates an elliptic or Cauer filter with rp dB of passband ripple and rs dB of stopband attenuation.
• ellipap — Designs a lowpass analog elliptic filter.
• ellipord — This function computes the minimum filter order of an elliptic filter with the desired response characteristics.
• enbw —
• eqtflength — Modifies the input vector to give output vectors of the same length
• falltime —
• fft — Calculates the discrete Fourier transform of a matrix using Fast Fourier Transform algorithm.
• fft1 — Calculates the discrete Fourier transform of a matrix using Fast Fourier Transform algorithm.
• fft2 — Calculates the two-dimensional discrete Fourier transform of A using a Fast Fourier Transform algorithm.
• fft21 — Calculates the two-dimensional discrete Fourier transform of A using a Fast Fourier Transform algorithm.
• fftconv — Convolve two vectors using the FFT for computation.
• fftfilt — Performs FFT-based FIR filtering using overlap-add method
• fftn — This function computes the N-dimensional discrete Fourier transform of A using a Fast Fourier Transform (FFT) algorithm.
• fftshift1 — Perform a shift of the vector X, for use with the 'fft1' and 'ifft1' functions, in order the move the frequency 0 to the center of the vector or matrix.
• fftw1 — Manage FFTW wisdom data.
• fht — The Function calculates the Fast Hartley Transform of real input.
• filter1 — Apply a 1-D digital filter to the data X.
• filter2 — Apply the 2-D FIR filter B to X.
• filternorm — Calculates the L-2 norm or L-infinity norm of a digital filter
• filtfilt —
• filtic —
• filtord — and denominator coefficients, a.
• findpeaks — This function find peaks on DATA.
• fir1 — Produce an order N FIR filter with the given frequency cutoff, returning the N+1 filter coefficients in B.
• fir2 — Produce an order N FIR filter with arbitrary frequency response M over frequency bands F, returning the N+1 filter coefficients in B.
• firpmord — Parks-McClennan optimal FIR filter order estimation
• firtype — if (type(b)~=1) then
• flattopwin — This function returns the filter coefficients of a Flat Top window.
• fracshift — This function shifts the series x supplied as input argument by a number of samples d.
• fractdiff — Compute the fractional differences (1-L)^d x where L denotes the lag-operator and d is greater than -1.
• freqs — Compute the s-plane frequency response of the IIR filter.
• freqz — This function returns the complex frequency response H of the rational IIR filter whose numerator and denominator coefficients are B and A, respectively.
• fwhm — This function computes peak full width at half minimum or at another level of peak minimum for vector or matrix data y supplied as input.
• fwhmjlt — rhs = argn(2)
• fwht — Compute the Walsh-Hadamard transform of x using the Fast Walsh-Hadamard Transform (FWHT) algorithm
• gauspuls —
• gaussdesign — GAUSSDESIGN designs a Gaussian pulse-shaping filter which is a low pass FIR
• gaussian — This function returns a Gaussian convolution window.
• gausswin — This function returns the filter coefficients of a Gaussian window.
• gmonopuls —
• goertzel — Computes DFT using the second order Goertzel Algorithm
• grpdelay — This function computes the group delay of a filter.
• hamming — Return the filter coefficients of a Hamming window of length M
• hann — This function returns the filter coefficients of a Hanning window.
• hanning — Return the filter coefficients of a Hanning window of length M
• helperHarmonicDistortionAmplifier — helperHarmonicDistortionADC Helper function for HarmonicDistortionExample.m
• hilbert1 — Analytic extension of real valued signal.
• hurst — Estimate the Hurst parameter of sample X via the rescaled r statistic.
• icceps — ICCEPS computes the inverse cepstrum of a real-valued input. This spectrum
• idct1 — Compute the inverse discrete cosine transform of input.
• idct2 — This function computes the inverse 2-D discrete cosine transform of input matrix.
• idst1 — This function computes the inverse type I discrete sine transform.
• ifft — Calculates the inverse discrete Fourier transform of a matrix using Fast Fourier Transform algorithm.
• ifft1 — Calculates the inverse discrete Fourier transform of a matrix using Fast Fourier Transform algorithm.
• ifft2 — Calculates the inverse two-dimensional discrete Fourier transform of A using a Fast Fourier Transform algorithm.
• ifftn — Compute the inverse N-dimensional discrete Fourier transform of A using a Fast Fourier Transform (FFT) algorithm.
• ifftshift1 — Undo the action of the 'fftshift1' function.
• ifht — Calculate the inverse Fast Hartley Transform of real input D
• ifwht — Compute the inverse Walsh-Hadamard transform of x using the Fast Walsh-Hadamard Transform (FWHT) algorithm
• iirlp2mb — This function does IIR Low Pass Filter to Multiband Filter Transformation.
• impinvar — This function converts analog filter with coefficients b and a to digital, conserving impulse response.
• impz —
• impzlength — Impulse response length
• interp — function y = interp(x, q, n, Wc)
• intfilt —
• invfreq — Calculates inverse frequency vectors
• invfreqs — Fit filter B(s)/A(s)to the complex frequency response H at frequency points F. A and B are real polynomial coefficients of order nA and nB.
• invfreqz — Fit filter B(z)/A(z)to the complex frequency response H at frequency points F. A and B are real polynomial coefficients of order nA and nB.
• invimpinvar — This function converts digital filter with coefficients b and a to analog, conserving impulse response.
• is2rc — Convert inverse sine parameters to reflection coefficients
• isallpass — [nargout,nargin]=argn();
• isfir — [nargout,nargin]=argn();
• islinphase — [nargout,nargin]=argn();
• ismaxphase — [nargout,nargin]=argn();
• isminphase — [nargout,nargin]=argn();
• isstable — SOS matrix corresponds to [bi(1) bi(2) bi(3) ai(1) ai(2) ai(3)].
• kaiser — This function returns the filter coefficients of a Kaiser window.
• kaiserord — Return the parameters needed to produce a filter of the desired specification from a Kaiser window.
• lar2rc —
• latc2tf — Convert lattice filter parameters to transfer function coefficients
• latcfilt — function [f,g,zo]=latcfilt(k,x,v,zi,dim)
• latcfilt1 — function [f,g,zo]=latcfilt1(k,v,x,zi)
• levdown —
• levin — [ar,sigma2,rc]=lev(r)
• levinson —
• lpc — Linear prediction filter coefficients
• lsf2poly — lsf2poly function convert line spectral frequencies to prediction polynomial.
• mag2db — funcprot(0);
• marcumq — This function computes the generalized Marcum Q function of order m with noncentrality parameter a and argument b.
• medfilt1 — 1D median filtering
• mexihat —
• meyeraux —
• midcross —
• modulate — Modulates signal according to the modulation method
• morlet —
• movingrms —
• mscohere — It estimate (mean square) coherence of signals x and y.
• musicBase — Implements the core of the MUSIC algorithm
• ncauer — Analog prototype for Cauer filter.
• nnls — Non Negative Least Squares (nnls) for Ex=f with the constraint x>=0
• nuttallwin — This function returns the filter coefficients of a Blackman-Harris window.
• parzenwin — This function returns the filter coefficients of a Parzen window.
• pburg — Calculate Burg maximum-entropy power spectral density.
• pchip —
• pchips —
• peak2peak — funcprot(0);
• peak2rms — This function calculates the ratio of peak magnitude to the Root Mean Square(RMS) value.
• pei_tseng_notch —
• peig — Psuedospectrum using the eigenvector method.
• periodogram — Return the periodogram (Power Spectral Density) of X
• phaseInputParseAs_ab — fs=0;
• phaseInputParseAs_sos — fs=0;
• phasedelay — cas variable is 2 if sos form is involved and 1 if direct rational form is given
• phasez — cas variable is 2 if sos form is involved and 1 if direct rational form is given
• pmusic — Psuedospectrum using MUSIC algorithm
• poly2ac — Convert prediction polynomial to autocorrelation sequence.
• poly2lsf —
• poly2rc —
• polyscale — errcheck1
• polystab — This function stabilizes the polynomial transfer function.
• polyval —
• pow2db — rhs = argn(2)
• primitive — This function calculates the primitive of a given function supplied as input.
• prony —
• pulseperiod —
• pulsesep —
• pulsewidth —
• pulstran — This function generates the signal y = sum(func(t+d,...)) for each d.
• pwelch — Estimate power spectral density of data "x" by the Welch (1967) periodogram/FFT method.
• pyulear —
• qp_kaiser — Computes a finite impulse response (FIR) filter for use with a quasi-perfect reconstruction polyphase-network filter bank.
• rc2ac —
• rc2is — Convert reflection coefficients to inverse sine parameters
• rc2lar —
• rc2poly —
• rceps — Produce the cepstrum of the signal x, and if desired, the minimum phase reconstruction of the signal x.
• rcosdesign — RCOSDESIGN computes the raised cosine FIR filter
• rectpuls —
• rectwin — This function returns the filter coefficients of a rectangular window.
• remez1 — Parks-McClellan optimal FIR filter design
• resample — This function resamples in the input sequence x supplied by a factor of p/q.
• residued —
• residuez —
• risetime —
• rlevinson —
• rms — convert i/p values to their ascii values if they are of type char
• rooteig — Frequencies and power of sinusoids using eigenvector algorithm
• rootmusic — Frequencies and power of sinusoids using the root MUSIC algorithm
• rssq — This function calculates the square root of the sum of values of input vector IN.
• sampled2continuous — This function calculates the output reconstructed from the samples n supplied as input, at a rate of 1/s samples per unit time.
• sawtooth —
• schtrig — This function implements a multisignal Schmitt triggers with lev levels supplied as input.
• schurrc — narginchk(1,1,argn(2));
• seqperiod — Calculates the period of a sequence
• sftrans — Transform band edges of a generic lowpass filter (cutoff at W=1) represented in splane zero-pole-gain form.
• sgolay — This function computes the filter coefficients for all Savitzsky-Golay smoothing filters.
• sgolayfilt —
• shanwavf —
• shiftdata — Shifts data by rearranging dimensions
• sigmoid_train — Evaluate a train of sigmoid functions at T.
• sinetone — Return a sinetone of the input
• sinewave — Return an M-element vector with I-th element given by 'sin(2* pi *(I+D-1)/N).'
• slewrate —
• sos2cell — Converts a second order section matrix to a cell array
• sos2ss — [nargout,nargin]=argn();
• sos2tf — This function converts series second-order sections to direct H(z) = B(z)/A(z) form.
• sos2zp — This function converts series second-order sections to zeros, poles, and gains (pole residues).
• sosbreak — function for breaking a polynomial in second order polynomials (and an extra linear)
• sosfilt —
• specgram —
• spectral_adf — Return the spectral density estimator given a vector of autocovariances C, window name WIN, and bandwidth, B.
• spectral_xdf — Return the spectral density estimator given a data vector X, window name WIN, and bandwidth, B.
• spencer — Return Spencer's 15 point moving average of each column of X.
• ss2sos — not taking if, order and scale as input since they do not seem useful
• statelevels —
• stft — Compute the short-time Fourier transform of the vector X
• stmcb — function [b,a] = stmcb( x, u_in, q, p, niter, a_in )
• strips — Plots vector or matrix in strips
• subspaceMethodsInputParser — Input parser to be used by pmusic and peig
• synthesis — Compute a signal from its short-time Fourier transform
• tf2sos — This function converts direct-form filter coefficients to series second-order sections.
• tf2zp — [z,p,k]= tf2zp(b,a);
• tf2zpk — form
• tfe — Estimate transfer function of system with input "x" and output "y". Use the Welch (1967) periodogram/FFT method.
• tfestimate —
• transpose — funcprot(0);
• trial_iirlp2mb — B = varargin(1)
• triang — This function returns the filter coefficients of a triangular window.
• tripuls —
• truth — y = %t
• tukeywin — This function returns the filter coefficients of a Tukey window.
• udecode — Decodes the input uniformly quantized values
• uencode — Performs uniform quantization of the input into 2^n levels
• ultrwin — This function returns the coefficients of an Ultraspherical window.
• unshiftdata — Inverts the effect of shiftdata
• unwrap2 — Unwrap radian phases by adding or subtracting multiples of 2*pi.
• upfirdn — This function upsamples the input data, applies the FIR filter and then downsamples it.
• upsample — This function upsamples the signal, inserting n-1 zeros between every element.
• upsamplefill — This function upsamples a vector interleaving given values or copies of the vector elements.
• var —
• vco — Voltage Controlled Oscillator
• wconv — Performs 1D or 2D convolution.
• welchwin — This function returns the filter coefficients of a Welch window.
• window — This function creates an m-point window from the function f given as input.
• wkeep —
• wrev —
• xcorr1 — Estimates the cross-correlation.
• xcorr2 —
• xcov1 — Compute covariance at various lags [=correlation(x-mean(x),y-mean(y))].
• yulewalker — Fit an AR (p)-model with Yule-Walker estimates given a vector C of autocovariances '[gamma_0, ..., gamma_p]'.
• zerocrossing — This function estimates the points at which a given waveform crosses the x-axis.
• zp2sos — This function converts filter poles and zeros to second-order sections.
• zp2ss — Converts zeros / poles to state space.
• zp2tf — Converts zeros / poles to a transfer function.
• zplane — funcprot(0);