FIR filter design.
cfirpm - Complex and nonlinear phase equiripple FIR filter design.
fir1 - Window based FIR filter design - low, high, band, stop, multi.
fir2 - FIR arbitrary shape filter design using the frequency sampling method.
fircls - Constrained Least Squares filter design - arbitrary response.
fircls1 - Constrained Least Squares FIR filter design - low and highpass.
firgauss - FIR Gaussian digital filter design.
firls - Optimal least-squares FIR filter design.
firpm - Parks-McClellan optimal equiripple FIR filter design.
firpmord - Parks-McClellan optimal equiripple FIR order estimator.
firrcos - Raised cosine FIR filter design.
intfilt - Interpolation FIR filter design.
kaiserord - Kaiser window design based filter order estimation.
sgolay - Savitzky-Golay FIR smoothing filter design.
IIR digital filter design.
butter - Butterworth filter design.
cheby1 - Chebyshev Type I filter design (passband ripple).
cheby2 - Chebyshev Type II filter design (stopband ripple).
ellip - Elliptic filter design.
maxflat - Generalized Butterworth lowpass filter design.
yulewalk - Yule-Walker filter design.
IIR filter order estimation.
buttord - Butterworth filter order estimation.
cheb1ord - Chebyshev Type I filter order estimation.
cheb2ord - Chebyshev Type II filter order estimation.
ellipord - Elliptic filter order estimation.
Filter analysis.
abs - Magnitude.
angle - Phase angle.
filternorm - Compute the 2-norm or inf-norm of a digital filter.
freqs - Laplace transform frequency response.
freqspace - Frequency spacing for frequency response.
freqz - Z-transform frequency response.
fvtool - Filter Visualization Tool.
grpdelay - Group delay.
impz - Discrete impulse response.
phasedelay - Phase delay of a digital filter.
phasez - Digital filter phase response (unwrapped).
zerophase - Zero-phase response of a real filter.
zplane - Discrete pole-zero plot.
Filter implementation.
conv - Convolution.
conv2 - 2-D convolution.
convmtx - Convolution matrix.
deconv - Deconvolution.
fftfilt - Overlap-add filter implementation.
filter - Filter implementation.
filter2 - Two-dimensional digital filtering.
filtfilt - Zero-phase version of filter.
filtic - Determine filter initial conditions.
latcfilt - Lattice filter implementation.
medfilt1 - 1-Dimensional median filtering.
sgolayfilt - Savitzky-Golay filter implementation.
sosfilt - Second-order sections (biquad) filter implementation.
upfirdn - Upsample, FIR filter, downsample.
Discrete-time filter objects.
dfilt - Family of discrete-time filters.
dfilt/df1 - Direct-form I.
dfilt/df1sos - Direct-form I, second-order sections.
dfilt/df1t - Direct-form I transposed.
dfilt/df1tsos - Direct-form I transposed, second-order sections.
dfilt/df2 - Direct-form II.
dfilt/df2sos - Direct-form II, second-order sections.
dfilt/df2t - Direct-form II transposed.
dfilt/df2tsos - Direct-form II transposed, second-order sections.
dfilt/dffir - Direct-form FIR.
dfilt/dffirt - Direct-form FIR transposed.
dfilt/dfsymfir - Direct-form symmetric FIR.
dfilt/dfasymfir - Direct-form antisymmetric FIR.
dfilt/latticeallpass - Lattice allpass.
dfilt/latticear - Lattice autoregressive (AR).
dfilt/latticearma - Lattice autoregressive moving-average (ARMA).
dfilt/latticemamax - Lattice moving-average (MA) for maximum phase.
dfilt/latticemamin - Lattice moving-average (MA) for minimum phase.
dfilt/scalar - Scalar gain filter.
dfilt/statespace - State-space.
dfilt/cascade - Cascade (filters arranged in series).
dfilt/parallel - Parallel (filters arranged in parallel).
Discrete-time filter methods.
dfilt/addstage - Add a stage to a cascade or parallel filter.
dfilt/cascade - Cascade filter objects.
dfilt/coefficients - Filter coefficients.
dfilt/convert - Convert structure of DFILT object.
dfilt/copy - Copy discrete-time filter.
dfilt/fcfwrite - Write a filter coefficient file.
dfilt/filter - Execute ("run") discrete-time filter.
dfilt/firtype - Determine the type (1-4) of a linear phase FIR filter.
dfilt/freqz - Digital filter frequency response.
dfilt/grpdelay - Group delay of a digital filter.
dfilt/impz - Impulse response.
dfilt/impzlength - Length of the impulse response for a digital filter.
dfilt/info - Filter information.
dfilt/isallpass - True for allpass filter.
dfilt/iscascade - True for cascaded filter.
dfilt/isfir - True for FIR filter.
dfilt/islinphase - True for linear phase filter.
dfilt/ismaxphase - True if maximum phase.
dfilt/isminphase - True if minimum phase.
dfilt/isparallel - True for filter with parallel sections.
dfilt/isreal - True for filter with real coefficients.
dfilt/isscalar - True if scalar filter.
dfilt/issos - True if second-order section filter.
dfilt/isstable - True if the filter is stable.
dfilt/nsections - Number of sections in a discrete-filter.
dfilt/nstages - Number of stages in a cascade or parallel filter.
dfilt/nstates - Number of states in discrete-time filter.
dfilt/order - Filter order.
dfilt/parallel - Connect filters in parallel.
dfilt/phasez - Phase response of a discrete-time filter.
dfilt/removestage - Remove a stage in a cascade or parallel filter.
dfilt/reset - Reset discrete-time filter.
dfilt/setstage - Set a stage in a cascade or parallel filter.
dfilt/sos - Convert to second-order-sections.
dfilt/ss - Discrete-time filter to state-space conversion.
dfilt/stepz - Step response.
dfilt/tf - Convert to transfer function.
dfilt/zerophase - Zero-phase response.
dfilt/zpk - Discrete-time filter zero-pole-gain conversion.
dfilt/zplane - Pole/Zero plot
Filter States Object.
filtstates/dfiir - Direct-form IIR filter states.
Filter States methods.
filtstates/double - Convert a to a double precision vector.
filtstates/single - Convert a to a single precision vector.
Analog filter design, transformation, and discretization
Analog lowpass filter prototypes.
besselap - Bessel filter prototype.
buttap - Butterworth filter prototype.
cheb1ap - Chebyshev Type I filter prototype (passband ripple).
cheb2ap - Chebyshev Type II filter prototype (stopband ripple).
ellipap - Elliptic filter prototype.
Analog filter design.
besself - Bessel analog filter design.
butter - Butterworth filter design.
cheby1 - Chebyshev Type I filter design.
cheby2 - Chebyshev Type II filter design.
ellip - Elliptic filter design.
Analog filter transformation.
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 with optional prewarping.
impinvar - Impulse invariance analog to digital conversion.
Linear system transformations
latc2tf - Lattice or lattice ladder to transfer function conversion.
polyscale - Scale roots of polynomial.
polystab - Polynomial stabilization.
residuez - Z-transform partial fraction expansion.
sos2ss - Second-order sections to state-space conversion.
sos2tf - Second-order sections to transfer function conversion.
sos2zp - Second-order sections to zero-pole conversion.
ss2sos - State-space to second-order sections conversion.
ss2tf - State-space to transfer function conversion.
ss2zp - State-space to zero-pole conversion.
tf2latc - Transfer function to lattice or lattice ladder conversion.
tf2sos - Transfer Function to second-order sections conversion.
tf2ss - Transfer function to state-space conversion.
tf2zpk - Discrete-time transfer function to zero-pole conversion.
zp2sos - Zero-pole to second-order sections conversion.
zp2ss - Zero-pole to state-space conversion.
zp2tf - Zero-pole to transfer function conversion.
Windows
barthannwin - Modified Bartlett-Hanning window.
bartlett - Bartlett window.
blackman - Blackman window.
blackmanharris - Minimum 4-term Blackman-Harris window.
bohmanwin - Bohman window.
chebwin - Chebyshev window.
flattopwin - Flat Top window.
gausswin - Gaussian window.
hamming - Hamming window.
hann - Hann window.
kaiser - Kaiser window.
nuttallwin - Nuttall defined minimum 4-term Blackman-Harris window.
parzenwin - Parzen (de la Valle-Poussin) window.
rectwin - Rectangular window.
triang - Triangular window.
tukeywin - Tukey window.
wvtool - Window Visualization Tool.
window - Window function gateway.
Window objects.
sigwin - Family of windows.
sigwin/bartlett - Bartlett window.
sigwin/barthannwin - Modified Bartlett-Hanning window.
sigwin/blackman - Blackman window.
sigwin/blackmanharris - Minimum 4-term Blackman-Harris window.
sigwin/bohmanwin - Bohman window.
sigwin/chebwin - Chebyshev window.
sigwin/flattopwin - Flat Top window.
sigwin/gausswin - Gaussian window.
sigwin/hamming - Hamming window.
sigwin/hann - Hann window.
sigwin/kaiser - Kaiser window.
sigwin/nuttallwin - Nuttall defined minimum 4-term Blackman-Harris window.
sigwin/parzenwin - Parzen (de la Valle-Poussin) window.
sigwin/rectwin - Rectangular window.
sigwin/triang - Triangular window.
sigwin/tukeywin - Tukey window.
Window object methods.
sigwin/generate - Generate a window vector.
Transforms
bitrevorder - Permute input into bit-reversed order.
czt - Chirp-z transform.
dct - Discrete cosine transform.
dftmtx - Discrete Fourier transform matrix.
digitrevorder - Permute input into digit-reversed order.
fft - Fast Fourier transform.
fft2 - 2-D fast Fourier transform.
fftshift - Swap vector halves.
goertzel - Second-order Goertzel algorithm.
hilbert - Discrete-time analytic signal via Hilbert transform.
idct - Inverse discrete cosine transform.
ifft - Inverse fast Fourier transform.
ifft2 - Inverse 2-D fast Fourier transform.
Cepstral analysis
cceps - Complex cepstrum.
icceps - Inverse Complex cepstrum.
rceps - Real cepstrum and minimum phase reconstruction.
Statistical signal processing and spectral analysis
corrcoef - Correlation coefficients.
corrmtx - Autocorrelation matrix.
cov - Covariance matrix.
cpsd - Cross Power Spectral Density.
mscohere - Magnitude squared coherence estimate.
pburg - Power Spectral Density estimate via Burg's method.
pcov - Power Spectral Density estimate via the Covariance method.
peig - Power Spectral Density estimate via the Eigenvector method.
periodogram - Power Spectral Density estimate via the periodogram method.
pmcov - Power Spectral Density estimate via the Modified Covariance method.
pmtm - Power Spectral Density estimate via the Thomson multitaper method.
pmusic - Power Spectral Density estimate via the MUSIC method.
pwelch - Power Spectral Density estimate via Welch's method.
pyulear - Power Spectral Density estimate via the Yule-Walker AR Method.
rooteig - Sinusoid frequency and power estimation via the eigenvector algorithm.
rootmusic - Sinusoid frequency and power estimation via the MUSIC algorithm.
tfestimate - Transfer function estimate.
xcorr - Cross-correlation function.
xcorr2 - 2-D cross-correlation.
xcov - Covariance function.
Spectral Analysis Objects.
spectrum - Family of spectrum objects.
spectrum/burg - Burg method.
spectrum/cov - Covariance method.
spectrum/eigenvector - Eigenvector method.
spectrum/mcov - Modified Covariance method.
spectrum/mtm - Thomson multitaper method (MTM).
spectrum/music - Multiple Signal Cassification (MUSIC) method.
spectrum/periodogram - Periodogram method.
spectrum/welch - Welch method.
spectrum/yulear - Yule-Walker AR Method.
Spectral Analysis Object Methods
spectrum/msspectrum - Mean-square Spectrum estimate (for Welch and
Periodogram).
spectrum/powerest - Computes the powers and frequencies of
sinusoids (for MUSIC and eigenvector objects).
spectrum/psd - Power Spectral Density estimate.
spectrum/pseudospectrum - Pseudospectrum estimate (for MUSIC and
eigenvector).
DSP Data Objects.
dspdata - Family of DSP data objecs.
dspdata/msspectrum - Mean-square spectrum data object.
dspdata/psd - Power Spectral Density (PSD) data object.
dspdata/pseudospectrum - Pseudospectrum data object.
DSP Data Object Methods.
dspdata/avgpower - Average power of a PSD data object.
dspdata/centerdc - Shift the DC component to center of spectrum.
dspdata/halfrange - Pseudospectrum calculated over half the Nyquist
interval.
dspdata/onesided - Spectrum calculated over half the Nyquist
interval, but contains the full power.
dspdata/normalizefreq- Normalize frequency specifications.
dspdata/plot - Plot the data object.
dspdata/twosided - Spectrum calculated over the whole Nyquist
interval.
dspdata/wholerange - Pseudospectrum calculated over the whole Nyquist
interval.
Parametric modeling
arburg - AR parametric modeling via Burg's method.
arcov - AR parametric modeling via covariance method.
armcov - AR parametric modeling via modified covariance method.
aryule - AR parametric modeling via the Yule-Walker method.
ident - See the System Identification Toolbox.
invfreqs - Analog filter fit to frequency response.
invfreqz - Discrete filter fit to frequency response.
prony - Prony's discrete filter fit to time response.
stmcb - Steiglitz-McBride iteration for ARMA modeling.
Linear prediction
ac2poly - Autocorrelation sequence to prediction polynomial conversion.
ac2rc - Autocorrelation sequence to reflection coefficients conversion.
is2rc - Inverse sine parameters to reflection coefficients conversion.
lar2rc - Log area ratios to reflection coefficients conversion.
levinson - Levinson-Durbin recursion.
lpc - Linear Predictive Coefficients using autocorrelation method.
lsf2poly - Line spectral frequencies to prediction polynomial conversion.
poly2ac - Prediction polynomial to autocorrelation sequence conversion.
poly2lsf - Prediction polynomial to line spectral frequencies conversion.
poly2rc - Prediction polynomial to reflection coefficients conversion.
rc2ac - Reflection coefficients to autocorrelation sequence conversion.
rc2is - Reflection coefficients to inverse sine parameters conversion.
rc2lar - Reflection coefficients to log area ratios conversion.
rc2poly - Reflection coefficients to prediction polynomial conversion.
rlevinson - Reverse Levinson-Durbin recursion.
schurrc - Schur algorithm.
Multirate signal processing
decimate - Resample data at a lower sample rate.
downsample - Downsample input signal.
interp - Resample data at a higher sample rate.
interp1 - General 1-D interpolation. (MATLAB Toolbox)
resample - Resample sequence with new sampling rate.
spline - Cubic spline interpolation.
upfirdn - Up sample, FIR filter, down sample.
upsample - Upsample input signal.
Waveform generation
chirp - Swept-frequency cosine generator.
diric - Dirichlet (periodic sinc) function.
gauspuls - Gaussian RF pulse generator.
gmonopuls - Gaussian monopulse generator.
pulstran - Pulse train generator.
rectpuls - Sampled aperiodic rectangle generator.
sawtooth - Sawtooth function.
sinc - Sinc or sin(pi*x)/(pi*x) function
square - Square wave function.
tripuls - Sampled aperiodic triangle generator.
vco - Voltage controlled oscillator.
Specialized operations
buffer - Buffer a signal vector into a matrix of data frames.
cell2sos - Convert cell array to second-order-section matrix.
cplxpair - Order vector into complex conjugate pairs.
demod - Demodulation for communications simulation.
dpss - Discrete prolate spheroidal sequences (Slepian sequences).
dpssclear - Remove discrete prolate spheroidal sequences from database.
dpssdir - Discrete prolate spheroidal sequence database directory.
dpssload - Load discrete prolate spheroidal sequences from database.
dpsssave - Save discrete prolate spheroidal sequences in database.
eqtflength - Equalize the length of a discrete-time transfer function.
modulate - Modulation for communications simulation.
seqperiod - Find minimum-length repeating sequence in a vector.
sos2cell - Convert second-order-section matrix to cell array.
specgram - Spectrogram, for speech signals.
stem - Plot discrete data sequence.
strips - Strip plot.
udecode - Uniform decoding of the input.
uencode - Uniform quantization and encoding of the input into N-bits.
Graphical User Interfaces
fdatool - Filter Design and Analysis Tool.
fvtool - Filter Visualization Tool.
sptool - Signal Processing Tool.
wintool - Window Design and Analysis Tool.
wvtool - Window Visualization Tool.
To know the codes of signal processing, type
help signal in command line of your matlab version .
Click blow to download Matlab signal processing study materials :
1.)
Signal Processing Toolbox User guide
2.)
Practical Statistical signal processing using Matlab
3.)
MIT Signal Processing notes
