Signal Processing Toolbox

Chapter 1
Reference

This chapter contains detailed descriptions of all Signal Processing Toolbox functions. It begins with a list of functions grouped by subject area and continues with the reference entries in alphabetical order.

Waveform Generation and Plotting

chirp
Swept-frequency cosine generator.

diric
Dirichlet or periodic sinc function.

gauspuls
Gaussian-modulated sinusoidal pulse generator.

pulstran
Pulse train generator.

rectpuls
Sampled aperiodic rectangle generator.

sawtooth
Sawtooth or triangle wave generator.

sinc
Sinc function.

square
Square wave generator.

strips
Strip plot.

tripuls
Sampled aperiodic triangle generator.

Waveform Generation and Plotting
`chirp`	Swept-frequency cosine generator.
`diric`	Dirichlet or periodic sinc function.
`gauspuls`	Gaussian-modulated sinusoidal pulse generator.
`pulstran`	Pulse train generator.
`rectpuls`	Sampled aperiodic rectangle generator.
`sawtooth`	Sawtooth or triangle wave generator.
`sinc`	Sinc function.
`square`	Square wave generator.
`strips`	Strip plot.
`tripuls`	Sampled aperiodic triangle generator.


Filter Analysis and Implementation
`abs`	Absolute value (magnitude).
`angle`	Phase angle.
`conv`	Convolution and polynomial multiplication.
`conv2`	Two-dimensional convolution.
`fftfilt`	FFT-based FIR filtering using the overlap-add method.
`filter`	Filter data with a recursive (IIR) or nonrecursive (FIR) filter.
`filter2`	Two-dimensional digital filtering.
`filtfilt`	Zero-phase digital filtering.
`filtic`	Find initial conditions for a transposed direct form II filter implementation.
`freqs`	Frequency response of analog filters.
`freqspace`	Frequency spacing for frequency response.
`freqz`	Frequency response of digital filters.
`grpdelay`	Average filter delay (group delay).
`impz`	Impulse response of digital filters.
`latcfilt`	Lattice and lattice-ladder filter implementation.
`sgolayfilt`	Savitzky-Golay filtering.
`sosfilt`	Second-order (biquadratic) IIR filtering.
`unwrap`	Unwrap phase angles.
`zplane`	Zero-pole plot.


Linear System Transformations
`ac2poly`	Conversion of autocorrelation sequence to prediction polynomial.
`ac2rc`	Conversion of autocorrelation sequence to reflection coefficients.
`convmtx`	Convolution matrix.
`latc2tf`	Lattice filter to transfer function conversion.
`poly2ac`	Conversion of prediction polynomial to autocorrelation sequence.
`poly2rc`	Conversion of prediction polynomial to reflection coefficients.
`rc2ac`	Conversion of reflection coefficients to autocorrelation sequence.
`rc2poly`	Conversion of reflection coefficients to prediction polynomial.
`residuez`	z-transform partial-fraction expansion.
`sos2ss`	Conversion of second-order sections to state-space.
`sos2tf`	Conversion of second-order sections to transfer function.
`sos2zp`	Conversion of second-order sections to zero-pole-gain.
`ss2sos`	Conversion of state-space to second-order sections.
`ss2tf`	Conversion of state-space to transfer function.
`ss2zp`	Conversion of state-space to zero-pole-gain.
`tf2latc`	Conversion of transfer function to lattice filter.
`tf2sos`	Conversion of transfer function to second-order sections.
`tf2ss`	Conversion of transfer function to state-space.
`tf2zp`	Conversion of transfer function to zero-pole-gain.
`zp2sos`	Conversion of zero-pole-gain to second-order sections.
`zp2ss`	Conversion of zero-pole-gain to state-space.
`zp2tf`	Conversion of zero-pole-gain to transfer function.


IIR Filter Design--Classical and Direct
`besself`	Bessel analog filter design.
`butter`	Butterworth analog and digital filter design.
`cheby1`	Chebyshev type I filter design (passband ripple).
`cheby2`	Chebyshev type II filter design (stopband ripple).
`ellip`	Elliptic (Cauer) filter design.
`maxflat`	Generalized digital Butterworth filter design.
`yulewalk`	Recursive digital filter design.


IIR Filter Order Selection
`buttord`	Butterworth filter order selection.
`cheb1ord`	Chebyshev type I filter order selection.
`cheb2ord`	Chebyshev type II filter order selection.
`ellipord`	Elliptic filter order selection.


FIR Filter Design
`cremez`	Complex and nonlinear-phase equiripple FIR filter design.
`fir1`	Window-based finite impulse response filter design - standard response.
`fir2`	Window-based finite impulse response filter design - arbitrary response.
`fircls`	Constrained least square FIR filter design for multiband filters.
`fircls1`	Constrained least square filter design for lowpass and highpass linear phase FIR filters.
`firls`	Least square linear-phase FIR filter design.
`firrcos`	Raised cosine FIR filter design.
`intfilt`	Interpolation FIR filter design.
`kaiserord`	Estimate parameters for an FIR filter design with Kaiser window.
`remez`	Parks-McClellan optimal FIR filter design.
`remezord`	Parks-McClellan optimal FIR filter order estimation.
`sgolay`	Savitzky-Golay filter design.


Transforms
`czt`	Chirp z-transform.
`dct`	Discrete cosine transform (DCT).
`dftmtx`	Discrete Fourier transform matrix.
`fft`	One-dimensional fast Fourier transform.
`fft2`	Two-dimensional fast Fourier transform.
`fftshift`	Rearrange the outputs of the FFT functions.
`hilbert`	Hilbert transform.
`idct`	Inverse discrete cosine transform.
`ifft`	One-dimensional inverse fast Fourier transform.
`ifft2`	Two-dimensional inverse fast Fourier transform.


Statistical Signal Processing
`cohere`	Estimate magnitude squared coherence function between two signals.
`corrcoef`	Correlation coefficient matrix.
`cov`	Covariance matrix.
`csd`	Estimate the cross spectral density (CSD) of two signals.
`pburg`	Power spectrum estimate using the Burg method.
`pcov`	Power spectrum estimate using the covariance method.
`pmcov`	Power spectrum estimate using the modified covariance method.
`pmtm`	Power spectrum estimate using the multitaper method (MTM).
`pmusic`	Power spectrum estimate using MUSIC eigenvector method.
`pwelch`	Estimate the power spectral density (PSD) of a signal using Welch's method.
`pyulear`	Power spectrum estimate using Yule-Walker AR method.
`tfe`	Transfer function estimate from input and output.
`xcorr`	Cross-correlation function estimate.
`xcorr2`	Two-dimensional cross-correlation.
`xcov`	Cross-covariance function estimate (equal to mean-removed cross-correlation).


Windows
`bartlett`	Bartlett window.
`blackman`	Blackman window.
`boxcar`	Rectangular window.
`chebwin`	Chebyshev window.
`hamming`	Hamming window.
`hanning`	Hanning window.
`kaiser`	Kaiser window.
`triang`	Triangular window.


Parametric Modeling
`arburg`	Compute an estimate of AR model parameters using the Burg method.
`arcov`	Compute an estimate of AR model parameters using the covariance method.
`armcov`	Compute an estimate of AR model parameters using the modified covariance method.
`aryule`	Compute an estimate of AR model parameters using the Yule-Walker method.
`invfreqs`	Continuous-time (analog) filter identification from frequency data.
`invfreqz`	Discrete-time filter identification from frequency data.
`levinson`	Levinson-Durbin recursion.
`lpc`	Linear prediction coefficients.
`prony`	Prony's method for time domain IIR filter design.
`rlevinson`	Reverse Levinson-Durbin recursion.
`stmcb`	Linear model using Steiglitz-McBride iteration.


Specialized Operations
`buffer`	Buffer a signal vector into a matrix of data frames.
`cceps`	Complex cepstral analysis.
`cplxpair`	Group complex numbers into complex conjugate pairs.
`decimate`	Decrease the sampling rate for a sequence (decimation).
`deconv`	Deconvolution and polynomial division.
`demod`	Demodulation for communications simulation.
`dpss`	Discrete prolate spheroidal sequences (Slepian sequences).
`dpssclear`	Remove discrete prolate spheroidal sequences from database.
`dpssdir`	Discrete prolate spheroidal sequences database directory.
`dpssload`	Load discrete prolate spheroidal sequences from database.
`dpsssave`	Save discrete prolate spheroidal sequences in database.
`icceps`	Inverse complex cepstrum.
`interp`	Increase sampling rate by an integer factor (interpolation).
`medfilt1`	One-dimensional median filtering.
`modulate`	Modulation for communications simulation.
`polystab`	Stabilize polynomial.
`rceps`	Real cepstrum and minimum phase reconstruction.
`resample`	Change sampling rate by any rational factor.
`specgram`	Time-dependent frequency analysis (spectrogram).
`upfirdn`	Upsample, apply an FIR filter, and downsample.
`vco`	Voltage controlled oscillator.


Analog Prototype Design
`besselap`	Bessel analog lowpass filter prototype.
`buttap`	Butterworth analog lowpass filter prototype.
`cheb1ap`	Chebyshev type I analog lowpass filter prototype.
`cheb2ap`	Chebyshev type II analog lowpass filter prototype.
`ellipap`	Elliptic analog lowpass filter prototype.


Frequency Translation
`lp2bp`	Lowpass to bandpass analog filter transformation.
`lp2bs`	Lowpass to bandstop analog filter transformation.
`lp2hp`	Lowpass to highpass analog filter transformation.
`lp2lp`	Lowpass to lowpass analog filter transformation.


Filter Discretization
`bilinear`	Bilinear transformation method of analog-to-digital filter conversion.
`impinvar`	Impulse invariance method of analog-to-digital filter conversion.


Interactive Tools
`sptool`	Interactive digital signal processing tool (SPTool).

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Chapter 1Reference

Chapter 1
Reference