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
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
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
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
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
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
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
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
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
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
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
nonbinary codes
Reed-Solomon
noncausality of filters
noncoherent demodulation
Nyquist sampling theorem
oct2dec
optimizing
DPCM parameters
sample code
quantization parameters
sample code
order of digits in binary numbers
order, predictive
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
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
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
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
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
vec2mat
vector quantization
vitdec
weight, Hamming
wgn
white Gaussian noise, generating