Index

power spectral density <1> <2> <3>

triang, comparison to

Bartlett windows

coefficients

Bessel filters <1> <2> <3>

besselap <1> <2>

besself <1> <2> <3>

bias

correlation <1> <2>

variance trade-off

bilinear <1> <2> <3> <4>

bilinear transformations <1> <2> <3>

output representation

prewarping <1> <2>

blackman <1> <2>

Blackman windows <1> <2>

boxcar <1> <2>

boxcar windows. See rectangular windows

brackets, indicating closed interval

buffering

Burg method <1> <2> <3>

Welch's method, comparison

buttap <1> <2>

Butterworth filters <1> <2> <3>

butter <1> <2> <3>

order estimation <1> <2>

buttord <1> <2>

C

canonical forms <1> <2>

carrier frequency <1> <2> <3>

carrier signals <1> <2>

cascade, filters

Cauer filters. See elliptic filters

cceps <1> <2> <3>

cell2sos

cepstrum

reconstructing signals (minimum-phase)

cheb1ap <1> <2>

cheb1ord <1> <2>

cheb2ap <1> <2>

cheb2ord <1> <2>

chebwin <1> <2> <3>

cheby1 <1> <2> <3>

Chebyshev error minimization <1> <2>

cheby2 <1> <2> <3>

Chebyshev type I filters <1> <2> <3> <4>

order estimation <1> <2>

Chebyshev type II filters <1> <2>

Chebyshev windows <1> <2>

frequency response

chirp <1> <2>

chirp signals

chirp z-transforms (CZT) <1> <2>

discrete Fourier transforms, comparison

frequency analysis, narrowband

coding, PCM

coefficients

correlation

filter <1> <2> <3> <4> <5> <6>

linear prediction

reflection <1> <2> <3> <4> <5>

sequence

cohere <1> <2> <3>

linearly dependent data

coherence <1> <2>

linearly dependent data

colors, SPTool

communications <1> <2> <3>

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 <1> <2>

continuous signals. See signals

continuous-time filters. See analog filters

control systems

Control Systems Toolbox <1> <2> <3>

conv <1> <2> <3>

conv2 <1> <2>

conventions in our documentation (table)

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 <1> <2>

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 <1> <2> <3>

matrices for <1> <2> <3>

corrcoef

matrices

covariance method <1> <2> <3>

corrmtx

cov

D.C. component suppression

D

data

multichannel <1> <2>

vectors

data compression

data matrices <1> <2>

dct <1> <2>

decimate

deconv <1> <2>

deconvolution <1> <2>

delays

demod <1> <2> <3>

amplitude, quadrature

DFT. See discrete Fourier transforms

dftmtx

difference equations

differentiators <1> <2> <3>

digital audio tape standards

digital filters

fixed-point implementation

frequency data, identification from

frequency response

group delay <1> <2>

IIR

FIR filters, comparison to

implementation <1> <2> <3>

convolution

FFT-based (FIR)

filter

overlap-add method

impulse response <1> <2> <3>

state-space representation

order estimation

Butterworth <1> <2> <3>

Chebyshev type I <1> <2>

second-order sections

structures

time-domain representation

transfer functions representation

See also FIR filters, IIR filters

diric

discrete cosine transforms (DCT)

applications

energy compaction property

discrete Fourier transforms (DFT) <1> <2> <3> <4>

inverse <1> <2>

signals, reconstructing

algorithms

applications

eigenvector equivalent

IIR filter implementation

inverse <1> <2>

two-dimensional <1> <2>

magnitude

signal length dependencies

phase

spectral analysis <1> <2>

time-dependent

two-dimensional <1> <2>

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 <1> <2>

dpssdir <1> <2>

dpssload <1> <2>

dpsssave <1> <2>

duty cycles

E

eigenvector method <1> <2> <3>

root MUSIC

ellip <1> <2> <3>

ellipap <1> <2>

Chebyshev type I filters (passband)

ellipord <1> <2> <3>

elliptic filters <1> <2>

order estimation <1> <2> <3>

encoding

PCM

uniform

eqtflength

equiripple characteristics

Chebyshev type II filters (stopband)

Chebyshev windows

elliptic filters <1> <2> <3>

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)

See also parametric modeling

Yule-Walker method

spectral density <1> <2>

transfer functions

F

fast Fourier transforms (FFT) <1> <2>

fft

frequency response

radix-2 algorithm

signal processing, role in

two-dimensional

fdatool

context-sensitive help

help on <1> <2>

opening

fft <1> <2> <3> <4>

FFT. See fast Fourier transforms

fft2 <1> <2>

output

fftfilt <1> <2>

filter, comparison to

fftshift <1> <2> <3>

filter

coefficients

median

order

filter <1> <2> <3> <4>

fftfilt, comparison to

filtfilt, comparison

final condition parameters

implementation

initial condition parameters

initial conditions

filter coefficients

reflection coefficients, conversions to <1> <2>

filter design graphical user interface. See fdatool

filter design GUI

analysis buttons

analysis functions

computing coefficients

context-sensitive help

design sessions

filter design specification

filter order specification

filters

frequency response specification

group delay

help on

importing coefficients

importing filters

impulse response

magnitude response

magnitude response specs

Filter Designer <1> <2>

filters

plots

Filter Viewer <1> <2>

filter2

analog <1> <2> <3> <4> <5>

bandpass

bandstop

coefficients <1> <2> <3> <4>

converting to autocorrelation sequence

frequency data, identification from

frequency domain

frequency transformation functions <1> <2>

highpass

implementation <1> <2> <3>

initial conditions <1> <2>

inverse <1> <2>

lattice/ladder

linear phase <1> <2>

linear time-invariant digital

lowpass

order <1> <2> <3> <4> <5> <6>

order estimation

phase, modulation

prediction

quantized, state vectors

Savitzky-Golay <1> <2>

Schur realizations

second-order section forms <1> <2> <3>

specifications

transposed direct form II structure

two-dimensional

types

zero-phase <1> <2>

filtfilt <1> <2> <3> <4>

filtic <1> <2>

differentiators <1> <2> <3>

equiripple <1> <2> <3>

Hilbert transformers <1> <2> <3>

IIR filters, comparison

implementation <1> <2>

FFT-based <1> <2>

overlap-add method <1> <2>

interpolation

Kaiser windows

lattice/ladder

least squares <1> <2> <3>

constrained <1> <2>

equiripple, comparison

linear phase

multiband <1> <2>

weighted

linear phase <1> <2> <3> <4>

multiband <1> <2> <3>

order estimation, remez

overlap-add method

Parks-McClellan method <1> <2>

raised cosine method

resampling

responses

complex filters <1> <2>

delays, reducing

nonlinear phase <1> <2>

fir1 <1> <2>

fir2 <1> <2>

fircls <1> <2>

fircls1 <1> <2>

firls <1> <2> <3>

differentiators

filter characteristics

remez, comparison to

weight vectors

firrcos <1> <2>

fixed-point implementation, digital filters

fm

FM. See frequency modulation

fopen

Fourier transforms. See discrete Fourier transforms, fast Fourier transforms

fread

freqs <1> <2>

freqspace

estimation

eigenvector (EV) method

multiple signal classification (MUSIC) method

normalization

Nyquist <1> <2>

prewarping

vectors <1> <2> <3> <4>

frequency analysis, time-dependent

frequency demodulation

frequency domain

duality with time-domain

filters

FIR filtering

transformation functions <1> <2> <3> <4> <5>

frequency domain based modeling. See parametric modeling

frequency modulation

frequency response <1> <2> <3>

Bessel filters

Butterworth filters

Chebyshev type I filters

Chebyshev type II filters

freqz <1> <2>

freqzplot

From Disk radio button

fscanf

G

gains, scalar

gauspuls <1> <2> <3> <4> <5>

Gauss-Newton method <1> <2>

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 <1> <2> <3>

GUI-based tools. See interactive tools

passband

grpdelay <1> <2>

H

hamming <1> <2>

Hamming windows <1> <2> <3> <4>

hann

Hann windows

Hanning windows <1> <2>

hanning. See hann

highpass filters <1> <2> <3> <4> <5>

lowpass, transformation from

hilbert <1> <2>

Hilbert transformers <1> <2>

Hilbert transforms <1> <2> <3>

analytic signals, of

instantaneous attributes

homomorphic systems

Hz <1> <2> <3> <4>

I

icceps <1> <2> <3>

FIR filters, comparison to

idct <1> <2>

ideal lowpass filters

See also lowpass filters

ifft <1> <2>

samples, specifying

ifft2 <1> <2> <3>

IIR filters <1> <2> <3> <4> <5>

Bessel

Butterworth <1> <2>

Butterworth, generalized

Chebyshev <1> <2> <3>

filter types, comparison

Levinson-Durbin recursion

Steiglitz-McBride iteration

Yule-Walker <1> <2>

See also direct design

image processing <1> <2>

impinvar <1> <2> <3>

Import dialog box

From Disk radio button

Workspace Contents list

impulse invariance <1> <2>

limitations

impulse response <1> <2>

computing with filter

computing with impz

impulse invariance

lowpass filters, ideal

impz

interactive tools <1> <2>

indexing

initial conditions <1> <2> <3> <4>

instantaneous attributes

Filter Design and Analysis Tool

Filter Designer <1> <2>

Filter Viewer

Signal Browser

Spectrum Viewer <1> <2>

interp

intfilt

inverse cepstrum, complex

inverse discrete cosine transforms

accuracy of signal reconstruction

inverse discrete Fourier transforms <1> <2>

ifft

inverse Fourier transforms, continuous. See sinc

two-dimensional <1> <2>

inverse filters <1> <2>

analog

digital

inverse-sine parameters

reflection coefficients, transformations from

reflection coefficients, transformations to

invfreqs <1> <2> <3> <4>

invfreqz <1> <2> <3> <4>

is2rc

K

kaiser <1> <2>

ladder filters. See lattice/ladder filters

Kaiser window

Kaiser windows <1> <2>

beta parameter <1> <2>

L

Lagrange interpolation filter

Laplace transforms

state-space forms

lar2rc

latc2tf <1> <2> <3>

latcfilt <1> <2> <3>

lattice/ladder filters <1> <2> <3>

coefficients

latcfilt

Schur algorithm

transfer functions, conversions from

least squares method, FIR filters <1> <2>

levinson <1> <2> <3>

parametric modeling

Levinson-Durbin recursion <1> <2> <3>

line spectral frequencies

prediction polynomial coefficients, transformation from

prediction polynomial coefficients, transformation to

line style, SPTool

linear models. See models

linear phase <1> <2> <3>

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 <1> <2> <3> <4> <5>

cutoff frequency, translation of

LPC. See linear prediction coefficients

lp2bp <1> <2> <3>

lp2bs <1> <2> <3>

lp2hp <1> <2> <3>

lp2lp <1> <2> <3>

lpc <1> <2> <3>

lsf2poly

M

magnitude

vectors <1> <2> <3> <4>

manufacturing

match frequency (for prewarping)

MAT-files

dpss.mat

format, converting to

importing

discrete Fourier transforms

matrices

convolution <1> <2>

correlation coefficient

covariance

data <1> <2>

inverse discrete Fourier transforms

matrix forms. See state-space forms

maxflat <1> <2> <3>

maximally flat filters

medfilt1 <1> <2>

median filters <1> <2>

MEX-files

M-files

minimax method, FIR filters

See also Parks-McClellan method

minimum phase

models

autoregressive <1> <2> <3> <4>

Burg method <1> <2>

covariance method

modified covariance method <1> <2>

Yule-Walker AR method <1> <2>

bilinear transformations

transformations, discrete/continuous

See also amplitude modulation

modulate <1> <2> <3>

moving average (MA) filters

See also FIR filters

MTM. See multitaper method

multiband filters

FIR, with transition bands

IIR

multichannel data

multiple signal classification method (MUSIC) <1> <2> <3> <4> <5>

correlation matrices

eigenvector method <1> <2>

root music

multiplication, polynomials

multiplicity, of zeros and poles

multirate filters

banks

multitaper method (MTM) <1> <2> <3>

average power, conservation of

Welch's method, comparison to

MUSIC algorithm. See multiple signal classification method

N

nonrecursive filters. See FIR filters

normalization

correlation <1> <2> <3>

power spectral density <1> <2> <3>

Nyquist frequency <1> <2> <3>

Nyquist interval

O

order

oscillators, voltage controlled

overlap-add method

FIR filter implementation

FIR filters

P

Panner check box, Signal Browser

parametric modeling <1> <2>

applications

frequency domain based

linear predictive coding <1> <2>

parentheses, indicating open interval

Steiglitz-McBride method

Yule-Walker method

Parks-McClellan method <1> <2>

partial fraction expansion <1> <2> <3> <4>

determining with residue

passband <1> <2> <3> <4>

equiripple <1> <2>

group delay

pburg <1> <2> <3>

PCM

pcov <1> <2> <3>

period, finding in a sequence

peig

periodic sinc functions

See also Dirichlet functions

periodogram

periodograms <1> <2> <3>

phase

distortion

transfer functions, of

plots

DFT

pm

pmcov <1> <2> <3>

p-model. See parametric modeling

pmtm <1> <2>

pole-zero filters. See IIR filters

pmusic <1> <2> <3>

Pole/Zero Editor

poly <1> <2>

poly2ac

poly2lsf

poly2rc

polynomials

polyphase filtering techniques

polystab <1> <2>

power spectral density

bias <1> <2> <3>

confidence intervals

estimation

Burg method <1> <2> <3>

covariance method <1> <2> <3>

modified covariance method <1> <2>

multitaper method <1> <2>

MUSIC method <1> <2>

root music <1> <2>

Welch's method <1> <2> <3>

Yule-Walker AR method <1> <2> <3>

multitaper method

MUSIC method

normalization <1> <2> <3>

prediction polynomials

line spectral frequencies, transformations from

line spectral frequencies, transformations to

Preferences menu item

prewarping

Print dialog box <1> <2>

Print Preview window

Signal Browser preferences

Spectrum Viewer

printing, Spectrum Viewer

prolate-spheroidal windows

prony <1> <2> <3> <4>

Prony's method <1> <2>

modeling

psdplot

pseudospectrum

eigenvector method <1> <2>

MUSIC algorithm

ptm

pulse time demodulation

pulse time modulation <1> <2>

pulse train generator

pulse trains

generating

pulstran

pulse width demodulation

pulse width modulation <1> <2>

pulstran <1> <2>

pwelch <1> <2> <3>

pwm

pyulear <1> <2> <3>

quadrature amplitude demodulation

Q

qam

quadrature amplitude modulation <1> <2>

quantization <1> <2>

PCM

quantized filters

second-order sections

coefficients in a cell array

coefficients in a matrix

R

radar applications

raised cosine filters

randn

random number, generation

range notation

rc2is

rc2lar

rc2poly

rceps <1> <2> <3>

rebuffering

rectangular windows <1> <2> <3>

rectpuls

recursive filters. See IIR filters

references <1> <2> <3>

reflection coefficients <1> <2>

converting to autocorrelation sequence

filter coefficients, conversions from <1> <2>

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 <1> <2> <3>

differentiators

filter characteristics

firls, comparison to

Hilbert transformers

order estimation

weight vectors

Remez exchange algorithm <1> <2>

remezord <1> <2>

resample

resampling <1> <2>

FIR filters

See also decimation, interpolation

residue <1> <2> <3>

residue forms. See partial fraction expansion

residuez <1> <2>

rlevinson

root MUSIC

eigenvector method

rooteig

rootmusic

rulers

S

sampling frequency

changing

noninteger resampling factors <1> <2>

with upfirdn

decreasing by integer factor

FIR filters

freqz

increasing

irregularly spaced data

saving data

Savitzky-Golay filters <1> <2>

sawtooth <1> <2> <3>

sawtooth wave

scaling

schur

Schur algorithm

schurrc

second-order section forms <1> <2>

filters

state-space forms, conversions from

state-space forms, conversions to

transfer functions, conversions from <1> <2>

zero-pole-gain forms, conversions from

zero-pole-gain forms, conversions to

second-order sections

coefficients in cell arrays

coefficients in matrices

seqperiod

sgolay <1> <2>

sgolayfilt

Signal Browser <1> <2>

printing <1> <2> <3> <4>

signals, measuring

zooming, preferences

Signal Processing Toolbox

diric

linear swept-frequency cosine. See chirp

pulstran

reconstruction

DCT coefficients, from

minimum phase <1> <2>

sinc

pulse, Gaussian-modulated

square wave <1> <2>

triangle

sinc <1> <2>

bandlimited interpolation example

sinc functions <1> <2>

basic example

Slepian sequences. See discrete prolate spheroidal sequences

sonar applications

sos2cell

sos2ss <1> <2>

sos2tf <1> <2>

sos2zp <1> <2>

specgram <1> <2>

specification lines. See Filter Designer

specifications, filters

spectra. See spectrum

spectral analysis

cross spectral density

power spectrum

Spectrum Viewer

T

tapers, PSD estimates

taps

tf2latc <1> <2> <3>

tf2ss <1> <2>

tf2zp <1> <2> <3>

tfe <1> <2> <3>

tiling preferences

time series attributes

time-domain based modeling. See parametric modeling

toolboxes

Control Systems Toolbox <1> <2> <3>

Image Processing Toolbox <1> <2> <3>

Signal Processing Toolbox

Symbolic Math Toolbox

System Identification Toolbox

transfer functions <1> <2> <3> <4>

lattice forms, conversions to

second-order section forms, conversions from

second-order section forms, conversions to

state-space forms, conversions to

zero-pole-gain forms

transformations

bilinear <1> <2>

discrete/continuous

frequency <1> <2> <3> <4> <5>

models, between

transforms

chirp z-transforms (CZT) <1> <2>

discrete cosine

discrete Fourier <1> <2>

Hilbert <1> <2>

inverse discrete cosine <1> <2>

inverse discrete Fourier

transients, filters

transition band

transposed direct form II

initial conditions

triang <1> <2>

bartlett, comparison to

discrete Fourier transforms <1> <2>

triangular windows

tripuls

two-dimensional operations

inverse discrete Fourier transforms <1> <2>

U

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 <1> <2>

upfirdn <1> <2> <3>

V

variance, correlation sequence estimate

vco <1> <2> <3>

vectors

data <1> <2>

frequency <1> <2> <3> <4> <5>

indexing <1> <2>

magnitude <1> <2> <3> <4>

weighting

voltage controlled oscillators <1> <2>

W

waveforms. See signals

Welch's method <1> <2>

bias

Burg method, comparison to

MTM method, comparison to

normalization

power spectral density estimation <1> <2> <3> <4> <5> <6>

system identification, nonparametric

Yule-Walker AR method, comparison to

windows

fir1

Hamming <1> <2> <3> <4>

Workspace Contents list

X

xcorr <1> <2>

parametric modeling

xcorr2

xcov <1> <2>

Y

yulewalk <1> <2> <3>

Yule-Walker AR method <1> <2> <3> <4>

Welch's method, comparison to

Yule-Walker equations

Z

zero frequency component, centering

zero-order hold. See averaging filters

zero-phase filtering

zero-pole analysis

zero-pole plots <1> <2>

zero-pole-gain forms <1> <2> <3>

second-order section forms, conversions from

second-order section forms, conversions to