Communications Toolbox

Index

A 

addition in Galois fields

ademod

ademodce

A-law companders

amod

amodce

amplitude modulation (AM) sample code

for basic example

using demodulation offsets

using filters

using Hilbert filter

using Hilbert filter in baseband simulation

using single and double sidebands

amplitude shift keying (ASK) sample code

for mapping

to plot waveforms

using passband simulation

analog

signals, representing

analog-to-digital conversion

apkconst

arbitrary signal constellations

arithmetic

in Galois fields

sample code

using extension fields

using prime fields

awgn

B 

baseband

modulated signal

simulation

BCH coding

discussion of

generatorpolynomial for

sample code

for tracking errors

using various coding methods

summary of tools for

bchdeco

bchenco

bchpoly

bi2de

binary

codes

matrix format for messages and codewords

in Reed-Solomon codes

sample code

numbers, order of digits and

vector format for messages and codewords

sample code

binary-to-decimal conversion

bipolar random numbers

bit error rates

biterr

bits

random

block coding

functions

techniques

See also specific coding techniques

Bose-Chaudhuri-Hocquenghem (BCH) coding

discussion of

generator polynomial for

sample code

for tracking errors

using various coding methods

summary of tools for

burst errors

C 

carrier frequency (Fc)

relative to sampling rate

carrier signal

initial phase

for analog modulation

for digital modulation

circle signal constellations

default values for

plotting

code generator matrices

converting to parity-check matrices

sample code

finding

representing

code generator polynomials

finding

representing

codebooks

optimizing

for DPCM

sample code

sample code for DPCM

representing

codewords

definition

representing

coding

block

functions

techniques

convolutional

examples

features of the toolbox

sample code

using polynomial description

using trellis description

source

features of the toolbox

compand

companders

sample code

complex envelope

compression

of data

compressors

sample code

conjugate elements of Galois fields

constellations, signal

arbitrary

circle

default values for

plotting

hexagonal, sample code

plots

interpreting

square

plotting

triangular, sample code

constraint length

of convolutional code

convenc

converting

analog to digital

binary to decimal

decimal to binary

exponential to polynomial format for Galois field elements

sample code

generator matrices to parity-check matrices

sample code

polynomial representations

polynomial to exponential format for Galois field elements

sample code

sampling rates

vectors to matrices

convolutional coding

examples

features of the toolbox

sample code

using polynomial description

sample code

using trellis description

correction vector

correlation techniques

in demodulation

cosets, cyclotomic

Costas phase-locked loop

for analog modulation

for digital modulation

cyclgen

cyclic coding

discussion of

generator polynomial for

sample code <1> <2>

using various coding methods

summary of tools for

cyclotomic cosets

cyclpoly

D 

data compression

ddemod

ddemodce

de2bi

decimal format for messages and codewords

in Reed-Solomon coding

sample code

decision timing

and eye diagrams

sample code

for eye diagrams

for scatter plots

decode

decoding tables

representing

default

Galois field parameters, in error-control coding

primitive polynomials

delta modulation

sample code

See also differential pulse code modulation

demodmap

demodulation

definition of

digital

functions for

features of the toolbox

noncoherent

See also modulation

diagrams

eye

sample code

scatter

sample code

differential pulse code modulation (DPCM)

parameters, optimizing

sample code

parameters, representing

sample code

digital

modulation

functions for

signals, representing

displaying polynomials

distortion

from DPCM, reducing

from quantization, reducing

division in Galois fields

dmod

dmodce

DPCM

parameters, optimizing

sample code

parameters, representing

sample code

dpcmdeco

dpcmenco

dpcmopt

E 

encode

error

analysis, features of the toolbox

integers

patterns

predictive

rates

bit versus symbol

sample code

error-control coding

base 2 only

features of the toolbox

methods supported in toolbox

terminology and notation

with default Galois field parameters

error-correction capability

of BCH codes

of Hamming codes

of Reed-Solomon codes

error-rate analysis

expanders

sample code

exponential format

for Galois field elements

in Reed-Solomon coding

eye diagrams

sample code

eyediagram

F 

features of the toolbox

error-analysis

error-control coding

modulation/demodulation

source coding

feedback connection polynomials

fields, finite

See also Galois fields

filtering data over Galois fields

filters

designing and applying raised cosine

designing Hilbert transform

designing raised cosine

using after analog demodulation

choosing cutoff frequency

resulting time lag

using after digital demodulation

using raised cosine

using square-root raised cosine

finite fields

See also Galois fields

font when using gfpretty

format of Galois field elements

simplifying and converting to exponential format

sample code

simplifying and converting to polynomial format

sample code

formatting polynomials

formatting, of signals

frequency modulation (FM)

sample code

frequency shift keying (FSK)

sample code

G 

Galois fields

in error-control coding

avoiding explicit reference to

representing elements of

Gaussian elimination

in gflineq

in gfrank

Gaussian noise, generating

gen2par

generator matrices

converting to parity-check matrices

sample code

finding

representing

generator polynomials

finding

for convolutional code

representing

gfadd

gfconv

gfcosets

gfdeconv

gfdiv

gffilter

gflineq

gfminpol

gfmul

gfplus

gfpretty

gfprimck

gfprimdf

gfprimfd

gfrank

gfrepcov

gfroots

gfsub

gftrunc

gftuple

gfweight

H 

hammgen

Hamming coding

for single-error-correction

sample code

using various coding methods

using various formats

summary of tools for

Hamming weight

hank2sys

hard-decision decoding

Hilbert filters

designing

for amplitude modulation

sample code

for baseband amplitude modulation

sample code

hilbiir

I 

initial phases of carrier signal

for analog modulation

for digital modulation

in-phase/quadrature coordinates

inverses, multiplicative in Galois fields

irreducible polynomials

sample code

istrellis

L 

length of polynomial representations

minimizing

linear block coding

sample code

linear equations over Galois fields

and filtering

linear predictors

optimizing

sample code

representing

list of elements of Galois fields

generating

sample code

in error-control coding, avoiding explicit reference to

Lloyd algorithm, for optimizing quantization parameters

lloyds

M 

mapped signals

representing

for PSK and QASK

mapping

functions for

without modulating

marcumq

matrices over Galois fields

rank

messages

definition

representing

for coding functions

for modulation functions

minimal polynomials of Galois field elements

sample code

minimum distance

minimum shift keying (MSK)

modmap

modulated signals, representing

modulation

definition of

delta

sample code

See also differential pulse code modulation

differential pulse code. See differential pulse code modulation

digital

functions for

features of the toolbox

methods supported in toolbox

of several signals

sample code

terminology

without mapping

mu-law companders

sample code

multiple roots of polynomials over Galois fields

multiplication in Galois fields

multiplicative inverses in Galois fields

N 

nonbinary codes

Reed-Solomon

noncausality of filters

noncoherent demodulation

Nyquist sampling theorem

O 

oct2dec

optimizing

DPCM parameters

sample code

quantization parameters

sample code

order of digits in binary numbers

order, predictive

P 

parity-check matrices

finding

representing

partitions

optimizing

for DPCM

sample code

sample code for DPCM

representing

passband

simulation

phase modulation (PM)

sample code

phase shift keying (PSK) sample code

for basic example

for demapping

for mapping

for plotting signal constellation

phase-locked loop, Costas

for analog modulation

for digital modulation

points, decision

and eye diagrams

sample code

for eye diagrams

for scatter plots

poly2trellis

polynomial

description of an encoder

sample code

description of encoder

format for Galois field elements

polynomials

displaying formatted

generator, finding

polynomials over Galois fields

adding

dividing

irreducible

minimal

sample code

multiplying

primitive

default

definition

finding

representation choices for

roots of

sample code

subtracting

truncating

predictive

error

order

predictive quantization

features of the toolbox

parameters, optimizing

sample code

parameters, representing

sample code

predictors

linear

optimizing

sample code

representing

primitive

element, definition

polynomials

consistent use of

default

definition

finding

in error-control coding, avoiding explicit reference to

sample code

punctured convolutional code

Q 

QAM

representing signals for

sample code

QASK sample code

using eye diagram

using scatter plot and square constellation

qaskdeco

qaskenco

quadrature amplitude modulation (QAM)

representing signals for

sample code

quadrature amplitude shift keying (QASK) sample code

using eye diagram

using scatter plot and square constellation

quantiz

quantization

coding

DPCM parameters, optimizing

sample code

features of the toolbox

parameters, optimizing

sample code

parameters, representing

predictive

sample code

sample code

vector

R 

raised cosine filters

designing and applying

designing but not applying

filtering with

square-root

randerr

randint

random

bipolar symbols

bits

in error patterns

integers

signals

features of the toolbox

symbols

randsrc

rank of matrices over Galois fields

rcosfir

rcosflt

rcosiir

rcosine

redundancy, reducing

Reed-Solomon coding

discussion of

generator polynomial for

summary of tools for

references

convolutional coding

error-control coding

Galois fields

modulation/demodulation

representation of polynomials, shortening

representing

analog signals

codebooks

codewords

decoding tables

digital signals

Galois field elements

in a list

in exponential format

in polynomial format

generator matrices

generator polynomials

mapped signals

for PSK and QASK

messages

for coding functions

for modulation functions

modulated signals

parity-check matrices

partitions

predictors

quantization parameters

signal constellations

roots of polynomials over Galois fields

sample code

rsdeco

rsdecode

rsdecof

rsenco

rsencode

rsencof

rspoly

S 

sampling rate

change during mapping

individual

of signals, relative

relative to carrier frequency

significance of

scalar quantization

coding

features of the toolbox

parameters, representing

sample code

scatter plots

sample code

using modulation

scatterplot

signal constellations

arbitrary

circle

default values for

plotting

hexagonal, sample code

plots

interpreting

square

plotting

triangular, sample code

signal formatting

features of the toolbox

Signal Processing Toolbox

for filter design

simplifying

exponential format of Galois field elements

sample code

polynomial format of Galois field elements

sample code

soft-decision decoding

sample code

source coding

features of the toolbox

square signal constellations

plotting

subtraction in Galois fields

symbol error rates

symerr

syndrome

syndtable

T 

terminology

modulation/demodulation

timing, decision

and eye diagrams

sample code

for eye diagrams

for scatter plots

training data

for optimizing DPCM quantization parameters

for optimizing quantization parameters

trellis

description of encoder

structure

sample code

truncating polynomials over Galois fields

V 

vec2mat

vector quantization

vitdec

W 

weight, Hamming

wgn

white Gaussian noise, generating

wgn