A/D conversion abs ac2poly ac2rc aliased sinc functions command for aliasing impulse invariance preventing reducing all-pole filters. See IIR filters all-zero filters. See FIR filters am AM. See amplitude modulation amdsb-sc amdsb-sc amdsb-tc amdsb-tc amplitude demodulation double side-band, suppressed carrier double side-band, transmitted carrier single side-band amplitude modulation double side-band, suppressed carrier double side-band, transmitted carrier quadrature single side-band amssb amssb analog filters bandpass bandstop Bessel Bessel Bessel Bessel bilinear transformation Butterworth Butterworth Butterworth Butterworth Butterworth Chebyshev Chebyshev type I Chebyshev type I Chebyshev type I Chebyshev type II Chebyshev type II converting to digital converting to digital design discretization elliptic elliptic frequency response frequency response frequency response highpass impulse invariance inverse lowpass order estimation Butterworth Chebyshev type I Chebyshev type I Chebyshev type II elliptic plotting representational models See also IIR filters analog frequency 31 analog signals. See signals analytic signals angle anti-symmetric filters AR filters, stability check AR models. See autoregressive (AR) models arburg arburg arcov arcov ARMA filters ARMA filters ARMA filters Prony's method Steiglitz-McBride method See also IIR filters armcov armcov ARX models aryule aryule ASCII files, importing autocorrelation autocorrelation autocorrelation sequences converting from reflection coefficients estimation, variance filter coefficients converting to and from converting to and from converting to and from filters, multiple channels two-dimensional autocovariance multiple channels autoregressive (AR) models Burg method Burg method Burg method covariance method covariance method modified covariance method modified covariance method modified covariance method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method See also IIR filters autoregressive moving average (ARMA) filters. See ARMA filters averaging filters axis labels axis parameters Filter Viewer Spectrum Viewer band edges, prewarping bandlimited interpolation bandpass filters bandpass filters bandpass filters bandpass filters Bessel Butterworth Chebyshev type I Chebyshev type I Chebyshev type II design elliptic example, Chebyshev type I FIR FIR impulse invariance transformation from lowpass to bandstop filters bandstop filters bandstop filters bandstop filters bandstop filters Bessel Butterworth Chebyshev type I Chebyshev type II elliptic FIR FIR transformation from lowpass to bandwidth bartlett bartlett example triang, comparison to Bartlett windows coefficients Bessel filters Bessel filters Bessel filters bandpass bandstop characteristics highpass limitations lowpass roots besselap besselap example besself besself besself bias correlation correlation power spectral density power spectral density power spectral density variance trade-off bilinear bilinear bilinear bilinear bilinear transformations bilinear transformations bilinear transformations output representation prewarping prewarping blackman blackman Blackman windows Blackman windows boxcar boxcar example boxcar windows. See rectangular windows brackets, indicating closed interval 31 buffering Burg method Burg method Burg method example Welch's method, comparison buttap buttap example butter butter butter Butterworth filters Butterworth filters Butterworth filters bandpass bandstop characteristics design generalized highpass limitations lowpass order estimation order estimation buttord buttord canonical forms canonical forms carrier frequency carrier frequency carrier frequency carrier signals carrier signals cascade, filters Cauer filters. See elliptic filters cceps cceps cceps example cell2sos center frequency central features cepstrum analysis applications complex inverse inverse overview real real real reconstructing signals (minimum-phase) cheb1ap cheb1ap example example cheb1ord cheb1ord cheb2ap cheb2ap example cheb2ord cheb2ord chebwin chebwin chebwin cheby1 cheby1 cheby1 example cheby2 cheby2 cheby2 Chebyshev error minimization Chebyshev error minimization Chebyshev type I filters Chebyshev type I filters Chebyshev type I filters Chebyshev type I filters bandpass bandpass bandstop characteristics design highpass lowpass order estimation order estimation Chebyshev type II filters Chebyshev type II filters bandpass bandstop characteristics highpass limitations lowpass order estimation Chebyshev windows Chebyshev windows frequency response chirp chirp chirp signals chirp z-transforms (CZT) chirp z-transforms (CZT) discrete Fourier transforms, comparison frequency analysis, narrowband coding, PCM coefficients correlation filter filter filter filter filter filter linear prediction reflection reflection reflection reflection reflection sequence cohere cohere cohere linearly dependent data coherence coherence linearly dependent data colors, SPTool communications communications communications See also modulation, demodulation, voltage controlled oscillation communications simulation compact disc standards compaction complex conjugate complex envelope. See Hilbert transforms complex numbers, grouping by conjugate confidence intervals cross spectral density power spectral density warnings context-sensitive help context-sensitive help continuous signals. See signals continuous-time filters. See analog filters control systems Control Systems Toolbox Control Systems Toolbox Control Systems Toolbox conv conv conv conv2 conv2 conventions in our documentation (table) 32 conversions autocorrelation sequences to and from filter coefficients autocorrelation sequences to and from reflection coefficients filter coefficients to autocorrelation sequences filter coefficients to reflection coefficients filter coefficients to reflection coefficients functions (table) reflection coefficients to autocorrelation sequences second-order section forms to state-space forms second-order section forms to transfer functions second-order section forms to zero-pole-gain forms state-space forms to second-order section forms state-space forms to zero-pole-gain forms transfer functions to lattice forms transfer functions to second-order section forms transfer functions to state-space forms zero-pole-gain forms to second-order section forms zero-pole-gain forms to state-space forms convmtx convmtx convmtx convolution cross-correlation example filtering filtering matrices for matrices for matrices for example two-dimensional corrcoef correlation bias bias coefficient matrices cross-correlation matrices covariance method modified covariance method See also autocorrelation sequences, cross-correlation sequences correlation matrices corrmtx cosine windows cov covariance matrices See also autocovariance, cross-covariance covariance method covariance method covariance method example See also modified covariance method cplxpair cremez cremez cross spectral density cross spectral density confidence intervals See also power spectral density, spectral estimation cross-correlation sequences estimation biased unbiased filters, multiple channels normalization two-dimensional cross-covariance cross-covariance multiple channels csd csd csd cutoff frequency cutoff frequency czt czt CZT. See chirp z-transforms D.C. component suppression data multichannel multichannel vectors data compression data matrices data matrices data vectors dct dct example decimate decimation FIR filter for decoding deconv deconv example deconvolution deconvolution default session file delays group noninteger phase signals demod demod demod example demodulation demodulation amplitude, quadrature example methods methods phase pulse time pulse width DFT. See discrete Fourier transforms dftmtx difference equations differentiators differentiators differentiators digital audio tape standards digital filters anti-causal Butterworth cascade Chebyshev type I Chebyshev type II coefficients convolution matrices design elliptic FIR IIR, comparison to fixed-point implementation frequency data, identification from frequency response group delay group delay IIR FIR filters, comparison to implementation implementation implementation convolution FFT-based (FIR) filter overlap-add method impulse response impulse response impulse response initial conditions linear models models names order state-space representation order estimation Butterworth Butterworth Butterworth Chebyshev type I Chebyshev type I Chebyshev type II elliptic equiripple FIR phase delays phase delays poles poles second-order sections specifications startup transients structures lattice/ladder transposed direct form II time-domain representation transfer functions representation transients two-dimensional zero-phase zero-phase zeros zeros See also FIR filters, IIR filters digital frequency 31 direct design diric Dirichlet functions command for discrete cosine transforms (DCT) applications energy compaction property example inverse inverse signals, reconstructing discrete Fourier transforms (DFT) discrete Fourier transforms (DFT) discrete Fourier transforms (DFT) discrete Fourier transforms (DFT) algorithms applications eigenvector equivalent example IIR filter implementation inverse inverse matrices two-dimensional two-dimensional magnitude matrices phase signal length dependencies spectral analysis spectral analysis time-dependent two-dimensional two-dimensional See also fast Fourier transforms (FFT), fft discrete prolate spheroidal sequences See DPSS discretization bilinear transformations prewarping impulse invariance discretization, filters disk, loading variables from division, polynomials DPSS direct method interpolation dpss dpss.mat dpssclear dpssclear dpssdir dpssdir dpssload dpssload dpsssave dpsssave duty cycles echoes, detection edge effects eigenanalysis frequency estimation eigenvector method eigenvector method eigenvector method root MUSIC See also multiple signal classification method ellip ellip ellip ellipap ellipap example ellipord ellipord ellipord elliptic filters elliptic filters bandpass bandstop characteristics highpass limitations lowpass order estimation order estimation order estimation encoding PCM uniform eqtflength equiripple characteristics Chebyshev type I filters (passband) Chebyshev type II filters (stopband) Chebyshev windows elliptic filters elliptic filters elliptic filters Parks-McClellan design equiripple filters error minimization desired and actual response, between frequency bands, weighting minimax estimation cross spectral density nonparametric multiple signal classification method (MUSIC) multitaper method (MTM) Welch's method parametric Burg method covariance method modified covariance method Yule-Walker method spectral density spectral density transfer functions See also parametric modeling fast Fourier transforms (FFT) fast Fourier transforms (FFT) fft frequency response radix-2 algorithm signal processing, role in two-dimensional fdatool context-sensitive help help on help on opening fft fft fft fft example execution time number of samples output output radix-2 algorithm FFT filtering FFT. See fast Fourier transforms fft2 fft2 output fftfilt fftfilt filter, comparison to fftshift fftshift fftshift filter coefficients median order filter filter filter filter fftfilt, comparison to filtfilt, comparison final condition parameters implementation initial condition parameters initial conditions filter coefficients reflection coefficients, conversions to reflection coefficients, conversions to filter design graphical user interface. See fdatool filter design GUI analysis buttons analysis functions computing coefficients context-sensitive help design methods design sessions opening saving exporting filters filter design specification filter order specification filter type filters architecture implementation realization structure frequency response specification group delay help on importing coefficients importing filters impulse response magnitude response magnitude response specs opening phase delay phase response pole-zero plots saving coefficients step response Filter Designer Filter Designer FFT length filter types filters editing redesigning saving FIR filters FIR methods grid lines IIR methods opening opening overview plots customizing magnitude Pole/Zero Editor sample frequency spectra, overlaying zooming filter parameters Filter Viewer Filter Viewer axis parameters filter parameters measurements opening overview preferences, tiling printing rulers zooming filter2 filters analog analog analog analog analog anti-causal anti-symmetric averaging bandpass Butterworth Chebyshev type I Chebyshev type II elliptic bandstop Butterworth Chebyshev type I Chebyshev type II elliptic Butterworth Butterworth generalized Chebyshev type I type II coefficients coefficients coefficients coefficients converting to autocorrelation sequence convolution creating design Filter Designer FIR generalized discretization elliptic elliptic equiripple FIR single band frequency data, identification from frequency domain frequency transformation functions frequency transformation functions highpass Butterworth Chebyshev type I Chebyshev type II elliptic implementation implementation implementation initial conditions initial conditions inverse inverse lattice/ladder linear phase linear phase linear time-invariant digital lowpass Butterworth Chebyshev type I Chebyshev type II elliptic measurements median minimax minimum phase names order order order order order order order estimation phase, modulation prediction quantized, state vectors Savitzky-Golay Savitzky-Golay Schur realizations second-order section forms second-order section forms second-order section forms specifications SPTool transposed direct form II structure two-dimensional types zero-phase zero-phase See also FIR filters, IIR filters, digital filters, analog filters filtfilt filtfilt filtfilt filtfilt example filter, comparison initial conditions filtic filtic FIR filters FIR filters decimation differentiators differentiators differentiators equiripple equiripple equiripple example Filter Designer frequency domain frequency response Hilbert transformers Hilbert transformers Hilbert transformers IIR filters, comparison implementation implementation FFT-based FFT-based overlap-add method overlap-add method interpolation Kaiser windows lattice/ladder least squares least squares least squares constrained constrained equiripple, comparison linear phase multiband multiband weighted linear phase linear phase linear phase linear phase multiband multiband multiband order estimation, remez overlap-add method Parks-McClellan method Parks-McClellan method raised cosine method resampling responses complex filters complex filters delays, reducing nonlinear phase nonlinear phase standard band types types windowing method windows windows fir1 fir1 fir2 fir2 fircls fircls fircls1 fircls1 firls firls firls differentiators filter characteristics remez, comparison to weight vectors firrcos firrcos fixed-point implementation, digital filters fm FM. See frequency modulation fopen Fourier transforms. See discrete Fourier transforms, fast Fourier transforms fread freqs freqs freqspace frequency analog 31 angular carrier carrier carrier center cutoff digital 31 estimation eigenanalysis eigenvector (EV) method multiple signal classification (MUSIC) method normalization Nyquist 31, Nyquist 31, prewarping vectors vectors vectors vectors frequency analysis, time-dependent frequency demodulation frequency domain duality with time-domain filters FIR filtering transformation functions transformation functions transformation functions transformation functions transformation functions example lowpass to bandpass lowpass to bandstop lowpass to highpass frequency domain based modeling. See parametric modeling frequency modulation frequency response frequency response frequency response Bessel filters Butterworth filters Chebyshev type I filters Chebyshev type II filters Chebyshev windows elliptic filters error minimization evaluating example inverse Kaiser window linear phase magnitude monotonic multiband phase unwrapping plotting plotting samples, spacing sampling frequency frequency vectors freqz freqz sampling frequencies sampling frequency spacing freqzplot From Disk radio button fscanf gains, scalar gauspuls gauspuls gauspuls gauspuls gauspuls Gauss-Newton method Gauss-Newton method generalized Butterworth filters generalized cosine windows generalized filters Gibbs effect reduced by window graphical user interface (GUI) See also interactive tools, SPTool grid lines group delay group delay group delay example passband grpdelay grpdelay GUI-based tools. See interactive tools hamming hamming Hamming windows Hamming windows Hamming windows Hamming windows hann Hann windows Hanning windows Hanning windows hanning. See hann highpass filters highpass filters highpass filters highpass filters highpass filters Bessel Butterworth Chebyshev type I Chebyshev type II elliptic FIR FIR lowpass, transformation from hilbert hilbert example Hilbert transformers Hilbert transformers Hilbert transforms Hilbert transforms Hilbert transforms analytic signals, of example instantaneous attributes homomorphic systems Hz Hz Hz Hz icceps icceps icceps example idct idct ideal lowpass filters See also lowpass filters ifft ifft samples, specifying ifft2 ifft2 ifft2 IIR filters IIR filters IIR filters IIR filters IIR filters Bessel Butterworth Butterworth Butterworth, generalized Chebyshev Chebyshev Chebyshev Chebyshev type I Chebyshev type II design design elliptic elliptic Filter Designer filter types, comparison FIR filters, comparison to frequency response implementation frequency domain zero-phase lattice/ladder Levinson-Durbin recursion maximally flat multiband order estimation plotting responses Prony's method specifications Steiglitz-McBride iteration Yule-Walker Yule-Walker See also direct design image processing image processing impinvar impinvar impinvar Import dialog box From Disk radio button Workspace Contents list impulse invariance impulse invariance limitations impulse response impulse response computing with filter computing with impz example impulse invariance lowpass filters, ideal impz example indexing initial conditions initial conditions initial conditions initial conditions instantaneous attributes interactive tools interactive tools example Filter Design and Analysis Tool Filter Designer Filter Designer Filter Viewer Signal Browser Spectrum Viewer Spectrum Viewer SPTool interp interpolation bandlimited FIR filters interval notation 31 intfilt inverse cepstrum, complex inverse discrete cosine transforms accuracy of signal reconstruction inverse discrete Fourier transforms inverse discrete Fourier transforms ifft matrices two-dimensional two-dimensional inverse filters inverse filters analog digital inverse Fourier transforms, continuous. See sinc inverse-sine parameters reflection coefficients, transformations from reflection coefficients, transformations to invfreqs invfreqs invfreqs invfreqs invfreqz invfreqz invfreqz invfreqz is2rc kaiser kaiser example Kaiser window Kaiser windows Kaiser windows beta parameter beta parameter example FIR filters frequency response kaiserord kaiserord ladder filters. See lattice/ladder filters Lagrange interpolation filter Laplace transforms state-space forms lar2rc latc2tf latc2tf latc2tf latcfilt latcfilt latcfilt lattice/ladder filters lattice/ladder filters lattice/ladder filters coefficients latcfilt Schur algorithm transfer functions, conversions from least squares method, FIR filters least squares method, FIR filters levinson levinson levinson parametric modeling Levinson-Durbin recursion Levinson-Durbin recursion Levinson-Durbin recursion line spectral frequencies prediction polynomial coefficients, transformation from prediction polynomial coefficients, transformation to line style, SPTool linear models. See models linear phase linear phase linear phase characteristics filters linear prediction coefficients linear prediction modeling linear predictive coding linear system transformations. See conversions load log area ration parameters reflection coefficients, transformations from reflection coefficients, transformations to lowpass filters lowpass filters lowpass filters lowpass filters lowpass filters Bessel Butterworth Chebyshev type I Chebyshev type II cutoff frequency, translation of decimation elliptic FIR ideal impulse invariance impulse response interpolation lp2bp lp2bp lp2bp example lp2bs lp2bs lp2bs lp2hp lp2hp lp2hp lp2lp lp2lp lp2lp lpc lpc lpc See also linear predictive coding, Prony's method LPC. See linear prediction coefficients lsf2poly magnitude Fourier transforms frequency response plots transfer functions vectors vectors vectors vectors manufacturing match frequency (for prewarping) MAT-files dpss.mat format, converting to importing SPTool matrices convolution convolution correlation coefficient covariance data data discrete Fourier transforms inverse discrete Fourier transforms matrix forms. See state-space forms maxflat maxflat maxflat maximally flat filters medfilt1 medfilt1 median filters median filters MEX-files M-files minimax method, FIR filters See also Parks-McClellan method minimum phase models autoregressive autoregressive autoregressive autoregressive Burg method Burg method covariance method modified covariance method modified covariance method Yule-Walker AR method Yule-Walker AR method bilinear transformations transformations, discrete/continuous modified covariance method example modulate modulate modulate example method flags modulation modulation amplitude See also amplitude modulation example frequency phase pulse time pulse width quadrature amplitude results of signals signals moving average (MA) filters See also FIR filters MTM. See multitaper method multiband filters FIR FIR, with transition bands IIR multichannel data multiple signal classification method (MUSIC) multiple signal classification method (MUSIC) multiple signal classification method (MUSIC) multiple signal classification method (MUSIC) multiple signal classification method (MUSIC) correlation matrices eigenvector method eigenvector method root music multiplication, polynomials multiplicity, of zeros and poles multirate filters banks multitaper method (MTM) multitaper method (MTM) multitaper method (MTM) average power, conservation of example Welch's method, comparison to MUSIC algorithm. See multiple signal classification method nonrecursive filters. See FIR filters normalization correlation correlation correlation power spectral density power spectral density power spectral density Nyquist frequency 31, Nyquist frequency 31, Nyquist frequency 31, Nyquist interval order estimation estimation Butterworth Chebyshev type I elliptic elliptic filters, of filters, of oscillators, voltage controlled overlap-add method FIR filter implementation FIR filters Panner check box, Signal Browser parametric modeling parametric modeling applications frequency domain based summary techniques time-domain based Burg method covariance method linear predictive coding linear predictive coding modified covariance method Steiglitz-McBride method Yule-Walker method parentheses, indicating open interval 31 Parks-McClellan method Parks-McClellan method partial fraction expansion partial fraction expansion partial fraction expansion partial fraction expansion determining with residue example passband passband passband passband equiripple equiripple group delay pburg pburg pburg example PCM pcov pcov pcov example peig peig period, finding in a sequence periodic sinc functions See also Dirichlet functions periodogram periodograms periodograms periodograms phase computing delays delays delays example demodulation distortion eliminating eliminating FIR filters IIR filters Fourier transforms frequency response modulation modulation filters transfer functions, of unwrapping unwrapping plots analog filters cepstrum, complex coherence function DFT frequency response functions for group delay magnitude magnitude phase delays strip plots transfer functions zero-pole zero-pole plotting functions plug-ins pm pmcov pmcov pmcov example p-model. See parametric modeling pmtm pmtm example pmusic pmusic pmusic Pole/Zero Editor pole-zero filters. See IIR filters poly poly poly2ac poly2lsf poly2rc polynomials division division multiplication roots roots scaling stability check stabilization polyphase filtering techniques polystab polystab power spectral density bias bias bias confidence intervals estimation Burg method Burg method Burg method covariance method covariance method covariance method modified covariance method modified covariance method multitaper method multitaper method MUSIC method MUSIC method root music root music Welch's method Welch's method Welch's method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method multitaper method MUSIC method normalization normalization normalization plots Spectrum Viewer SPTool units of prediction filters prediction polynomials line spectral frequencies, transformations from line spectral frequencies, transformations to Preferences menu item prewarping Print dialog box Print dialog box Print Preview window Signal Browser preferences Spectrum Viewer printing, Spectrum Viewer prolate-spheroidal windows prony prony prony prony Prony's method Prony's method modeling psdplot pseudospectrum eigenvector method eigenvector method MUSIC algorithm ptm pulse time demodulation pulse time modulation pulse time modulation pulse train generator pulse trains generating pulstran pulse width demodulation pulse width modulation pulse width modulation pulstran pulstran pwelch pwelch pwelch pwm pyulear pyulear pyulear example example qam quadrature amplitude demodulation quadrature amplitude modulation quadrature amplitude modulation quantization quantization PCM quantized filters second-order sections coefficients in a cell array coefficients in a matrix radar applications raised cosine filters randn 29 random number, generation 29 range notation 31 rc2is rc2lar rc2poly rceps rceps rceps rebuffering rectangular windows rectangular windows rectangular windows rectpuls recursive filters. See IIR filters references references references reflection coefficients reflection coefficients converting to autocorrelation sequence filter coefficients, conversions from filter coefficients, conversions from inverse sine parameters, transformation from inverse sine parameters, transformation to log area ratio parameters, transformation from log area ratio parameters, transformation to Schur algorithm remez remez remez differentiators filter characteristics firls, comparison to Hilbert transformers order estimation weight vectors Remez exchange algorithm Remez exchange algorithm remezord remezord resample resampling resampling FIR filters See also decimation, interpolation residue residue residue residue forms. See partial fraction expansion residuez residuez rlevinson root MUSIC eigenvector method rooteig rootmusic roots roots polynomials rulers positioning Signal Browser Spectrum Viewer sampling frequency changing noninteger resampling factors noninteger resampling factors with upfirdn decreasing by integer factor FIR filters freqz increasing irregularly spaced data Nyquist interval range spacing saving data Spectrum Viewer Savitzky-Golay filters Savitzky-Golay filters sawtooth sawtooth sawtooth sawtooth wave scaling schur Schur algorithm schurrc second-order section forms second-order section forms filters matrices SPTool state-space forms, conversions from state-space forms, conversions to transfer functions, conversions from transfer functions, conversions from zero-pole-gain forms, conversions from zero-pole-gain forms, conversions to second-order sections coefficients in cell arrays coefficients in matrices seqperiod sgolay sgolay sgolayfilt Signal Browser Signal Browser axis labels markers, preferences opening overview Panner, preferences Print Preview window printing printing printing printing signals, measuring zooming, preferences Signal Processing Toolbox signals adding noise analytic analytic aperiodic applications array buffering carrier carrier chirp continuous (analog) differentiators diric discrete (digital) generating linear swept-frequency cosine. See chirp measurements modulation modulation multichannel periodic plotting properties pulstran rebuffering reconstruction DCT coefficients, from minimum phase minimum phase representing multichannel single channel sawtooth sawtooth example sinc sinusoidal sinusoidal pulse, Gaussian-modulated square wave square wave triangle sinc sinc bandlimited interpolation example sinc functions sinc functions basic example Slepian sequences. See discrete prolate spheroidal sequences sonar applications sos2cell sos2ss sos2ss sos2tf sos2tf sos2zp sos2zp specgram specgram example example specification lines. See Filter Designer specifications, filters spectra. See spectrum spectral analysis cross spectral density power spectrum Spectrum Viewer See also spectral estimation spectral density measurements plotting functions Spectrum Viewer units of See also power spectral density, cross spectral density spectral density plots spectral estimation Burg method Burg method Burg method Burg method covariance method covariance method eigenvector method eigenvector method eigenvector method modified covariance method modified covariance method multitaper method multitaper method MUSIC algorithm MUSIC algorithm MUSIC method MUSIC method nonparametric multiple signal classification method (MUSIC) multitaper method (MTM) Welch's method parametric Burg method covariance method modified covariance method Yule-Walker method periodograms root MUSIC root MUSIC Welch's method Welch's method Welch's method Welch's method Welch's method Welch's method Welch's method Welch's method Welch's method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method spectrogram spectrogram example example Spectrum Viewer Spectrum Viewer activating axis parameters markers, preferences measurements opening overview Print Preview printing printing printing rulers spectra structures spectral density plots windows zooming speech processing speech processing spline SPTool SPTool colors, customizing context-sensitive help customizing data entering objects selecting data structures editing example exporting data exporting data filter design filtering filters coefficients importing importing parameters specifications filters, saving help on Import dialog importing importing importing importing items, selecting line style, customizing MAT-files MATLAB workspace multiselection of items operation Pole/Zero Editor preferences Preferences menu item Print dialog box Print dialog box printing filters spectra right-click edit menu rulers sample frequency saving second-order section forms Signal Browser signals analysis measurements playing sound spectra analyzing importing spectral densities importing importing plots Spectrum Viewer state-space forms transfer functions exporting specifying workspace zero-pole-gain forms sptool square square square wave ss2sos ss2sos ss2tf ss2tf ss2zp ss2zp stability check, polynomials stabilization standards, digital audio tape startup transients, reducing startup transients, reducing state vectors state-space forms state-space forms state-space forms scalar second-order section forms, conversions from second-order section forms, conversions to SPTool transfer functions, conversions to zero-pole-gain forms, conversions from zero-pole-gain forms, convertions to statistical operations See also autocorrelation sequences, cross-correlation sequences, cross-covariance Steiglitz-McBride method Steiglitz-McBride method stmcb stmcb stmcb stmcb stopband stopband stopband stopband equiripple strip plots strips structures lattice/ladder transposed direct form II structures, digital filters lattice/ladder transposed direct form II swept-frequency cosine generator. See chirp system identification system models. See models tapers, PSD estimates taps tf2latc tf2latc tf2latc tf2ss tf2ss tf2zp tf2zp tf2zp tfe tfe tfe tiling preferences time series attributes time-domain based modeling. See parametric modeling toolboxes Control Systems Toolbox Control Systems Toolbox Control Systems Toolbox Image Processing Toolbox Image Processing Toolbox Image Processing Toolbox Signal Processing Toolbox Symbolic Math Toolbox System Identification Toolbox transfer functions transfer functions transfer functions transfer functions coefficients coefficients estimation using Welch's method factoring lattice forms, conversions to second-order section forms, conversions from second-order section forms, conversions to SPTool state-space forms, conversions to zero-pole-gain forms transformations bilinear bilinear discrete/continuous frequency frequency frequency frequency frequency models, between transforms chirp z-transforms (CZT) chirp z-transforms (CZT) discrete cosine discrete Fourier discrete Fourier Hilbert Hilbert inverse discrete cosine inverse discrete cosine inverse discrete Fourier transients, filters transition band transposed direct form II initial conditions triang triang bartlett, comparison to example triangular windows tripuls two-dimensional operations discrete Fourier transforms discrete Fourier transforms inverse discrete Fourier transforms inverse discrete Fourier transforms See also filters, two-dimensional two-dimensional signal processing udecode uencode uniform encoding unit circle unit impulse function unit ramp function unit sample, multichannel representation unit step function units of power spectral density (PSD) unwrap unwrap upfirdn upfirdn upfirdn variance, correlation sequence estimate vco vco vco vectors data data frequency frequency frequency frequency frequency indexing 31, indexing 31, magnitude magnitude magnitude magnitude weighting voltage controlled oscillators voltage controlled oscillators waveforms. See signals Welch's method Welch's method bias Burg method, comparison to MTM method, comparison to normalization power spectral density estimation power spectral density estimation power spectral density estimation power spectral density estimation power spectral density estimation power spectral density estimation system identification, nonparametric Yule-Walker AR method, comparison to white noise windows Bartlett Bartlett Blackman Blackman boxcar Chebyshev Chebyshev cosine, generalized filters FIR filters bandpass bandstop highpass lowpass multiband filters single band design fir1 generalized cosine Hamming Hamming Hamming Hamming Hann Hanning Hanning Kaiser Kaiser Kaiser periodograms periodograms prolate-spheroidal rectangular rectangular shapes triangular Workspace Contents list xcorr xcorr parametric modeling xcorr2 xcov xcov yulewalk yulewalk yulewalk example Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method Yule-Walker AR method example example Welch's method, comparison to Yule-Walker equations zero frequency component, centering zero-order hold. See averaging filters zero-phase filtering zero-pole analysis zero-pole plots zero-pole plots zero-pole-gain forms zero-pole-gain forms zero-pole-gain forms example second-order section forms, conversions from second-order section forms, conversions to SPTool state-space forms, conversions from state-space forms, conversions to zeros and poles multiplicity of transfer functions zooming zp2sos zp2sos zp2ss zp2ss zp2tf zp2tf zplane zplane z-transforms z-transforms chirp z-transforms (CZT) chirp z-transforms (CZT) discrete Fourier transforms discrete Fourier transforms