addition in Galois fields
even number of field elements
odd number of field elements
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
arithdeco
arithenco
arithmetic coding
arithmetic in Galois fields
even number of field elements
odd number of field elements
awgn
baseband modulated signal
baseband simulation
BCH coding
functions
generator polynomial
sample code
for tracking errors
using various coding methods
bchdeco
bchenco
bchpoly
bi2de
binary matrix format
sample code
binary numbers, order of digits and
binary vector format
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
functions
generator polynomial
sample code
for tracking errors
using various coding methods
carrier frequency (Fc)
relative to sampling rate
carrier signal
carrier signals
initial phase
analog
digital
circle signal constellations
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
compand
companders
sample code
complex envelope
compression
data
compressors
sample code
conjugate elements in Galois fields
even number of field elements
odd number of field elements
constellations
arbitrary
circle
hexagonal
sample code
plotting
square
triangular
sample code
constraint length
convolutional code
convenc
conversion
analog to digital
binary to decimal
binary to octal
decimal to binary
exponential to polynomial format
even number of field elements
odd number of field elements
generator matrices to parity-check matrices
sample code
octal to decimal
polynomial to exponential format
even number of field elements
odd number of field elements
sampling rates
vectors to matrices
convmtx
convolution
over Galois fields
convolutional coding
examples
features
sample code
using polynomial description
sample code
using trellis description
correction vector
correlation techniques
in demodulation
cosets
even number of field elements
odd number of field elements
cosets
Costas phase-locked loop
for analog modulation
for digital modulation
cyclgen
cyclic coding
functions
generator polynomial
sample code
compared to generic linear coding
using various coding methods
cyclotomic cosets
even number of field elements
odd number of field elements
cyclpoly
data compression
ddemod
ddemodce
de2bi
decimal format
sample code
decision timing
eye diagrams
sample code for eye diagrams
sample code for scatter plots
decode
decoding tables
delta modulation
sample code
See also differential pulse code modulation
demodmap
demodulation
definition
digital
digital functions
features of the toolbox
noncoherent
determinants in Galois fields
even number of field elements
dftmtx
diagrams
eye
sample code
scatter
sample code
differential pulse code modulation (DPCM)
optimizing parameters
sample code
representing parameters
sample code
digital modulation
functions
digital signals
representing
discrete Fourier transforms
over Galois fields
distortion
from DPCM
from quantization
division in Galois fields
even number of field elements
odd number of field elements
dmod
dmodce
DPCM
optimizing parameters
sample code
representing parameters
sample code
dpcmdeco
dpcmenco
dpcmopt
encode
error analysis
features of the toolbox
error integers
error patterns
error rates
bit versus symbol
sample code
error-control coding
base 2 only
features of the toolbox
methods supported in toolbox
terminology and notation
error-correction capability
BCH codes
Hamming codes
Reed-Solomon codes
error-rate analysis
expanders
sample code
exponential format in Galois fields
odd number of field elements
exponentiation in Galois fields
even number of field elements
eye diagrams
sample code
eyediagram
factorization
over Galois fields
feedback connection polynomials
fft
fields, finite
even number of elements
odd number of elements
filter
filters
designing and applying raised cosine
designing Hilbert transform
designing raised cosine
over Galois fields
even number of field elements
odd number of field elements
using after analog demodulation
choosing cutoff frequency
resulting time lag
using after digital demodulation
using raised cosine
using square-root raised cosine
finite fields
even number of elements
odd number of elements
format of Galois field elements
converting to exponential format
even number of field elements
odd number of field elements
converting to polynomial format
even number of field elements
odd number of field elements
even number of field elements
odd number of field elements
formatting
signals
Fourier transforms
over Galois fields
frequency modulation (FM)
sample code
frequency shift keying (FSK)
sample code
Galois arrays
creating
manipulating variables
meaning of integers in
Galois fields
even number of elements
odd number of elements
Gaussian noise
generating
gen2par
generator matrices
converting to parity-check matrices
sample code
finding
representing
generator polynomials
finding
for convolutional code
representing
gf
gfadd
gfconv
gfcosets
gfdeconv
gfdiv
gffilter
gflineq
gfminpol
gfmul
gfpretty
gfprimck
gfprimdf
gfprimfd
gfrank
gfrepcov
gfroots
gfsub
gftable
gftrunc
gftuple
gfweight
hammgen
Hamming coding
functions
sample code
using various coding methods
using various formats
single-error-correction
Hamming weight
hank2sys
hard-decision decoding
Hilbert filters
designing
for amplitude modulation
sample code
for baseband amplitude modulation
sample code
hilbiir
Huffman coding
ifft
initial phases of carrier signal
analog modulation
digital modulation
in-phase/quadrature coordinates
inverses in Galois fields
even number of field elements
odd number of elements
irreducible polynomials
isprimitive
istrellis
linear algebra in Galois fields
even number of field elements
linear block coding
sample code
linear predictors
optimizing
sample code
representing
list of elements of Galois fields
even number of field elements
odd number of field elements
generating
Lloyd algorithm
lloyds
log
logarithms in Galois fields
even number of field elements
logical operations in Galois fields
even number of field elements
mapped signals
representing
for PSK and QASK
mapping
functions
without modulating
marcumq
mask2shift
matrix manipulation in Galois fields
even number of field elements
messages
definition
representing
for coding functions
for modulation functions
minimal polynomials in Galois fields
even number of field elements
odd number of field elements
minimum distance
minimum shift keying (MSK)
minpol
mldivide
modmap
modulated signals
representing
modulation
definition
delta
sample code
See also differential pulse code modulation
differential pulse code. See differential pulse code modulation
digital
digital functions
features of the toolbox
methods supported in toolbox
of several signals
sample code
terminology
without mapping
mu-law companders
sample code
multiple roots over Galois fields
even number of field elements
odd number of field elements
multiplication in Galois fields
even number of field elements
odd number of field elements
nonbinary block codes
noncausality
noncoherent demodulation
Nyquist sampling theorem
oct2dec
octal
conversion from binary
conversion to decimal
optimizing
DPCM parameters
sample code
quantization parameters
sample code
order of digits in binary numbers
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
eye diagrams
sample code for eye diagrams
sample code for scatter plots
poly2trellis
polynomial description of encoders
sample code
polynomial format in Galois fields
even number of field elements
odd number of field elements
polynomials
displaying formatted
generator
polynomials over Galois fields
arithmetic
even number of field elements
odd number of field elements
binary coefficients
evaluating
even number of field elements
even number of field elements
irreducible
minimal
even number of field elements
odd number of field elements
odd number of field elements
primitive. See primitive polynomials.
roots
even number of field elements
odd number of field elements
predictive error
predictive order
predictive quantization
features of the toolbox
optimizing parameters
sample code
representing parameters
sample code
predictors
linear
optimizing
sample code
representing
primitive elements
representing
primitive polynomials
consistent use
default
even number of field elements
odd number of field elements
definition
even number of field elements
odd number of field elements
primpoly
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
optimizing parameters
sample code
predictive
sample code
representing parameters
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
in Galois fields
even number of field elements
odd number of elements
rcosfir
rcosflt
rcosiir
rcosine
redundancy
reducing
Reed-Solomon coding
functions
generator polynomial
references
convolutional coding
error-control coding
Galois fields
modulation/demodulation
representing
analog signals
codebooks
codewords
decoding tables
digital signals
Galois field elements
even number of field elements
odd number of field elements
Galois fields
even number of field elements
odd number of field elements
generator matrices
generator polynomials
mapped signals
for PSK and QASK
messages
for coding functions
for modulation functions
modulated signals
parity-check matrices
partitions
polynomials over Galois fields
even number of field elements
odd number of field elements
predictors
quantization parameters
signal constellations
roots
over Galois fields
binary polynomials
even number of field elements
odd number of field elements
rsdec
rsdecof
rsenc
rsencof
rsgenpoly
sampling rate
change during mapping
individual
of signals
relative to carrier frequency
significance
scalar quantization
coding
features of the toolbox
representing parameters
sample code
scatter plots
sample code
using modulation
scatterplot
shift2mask
signal constellations
arbitrary
circle
hexagonal
sample code
plotting
square
triangular
sample code
signal formatting
features of the toolbox
Signal Processing Toolbox
for filter design
simplifying formats of Galois field elements
exponential
odd number of field elements
polynomial
odd number of field elements
soft-decision decoding
sample code
solving linear equations over Galois fields
source coding
features of the toolbox
square signal constellations
subtraction in Galois fields
even number of field elements
odd number of field elements
symbol error rates
symerr
syndrome
syndtable
terminology
modulation/demodulation
timing, decision
eye diagrams
sample code for eye diagrams
sample code 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
odd number of field elements
typographical conventions (table)
vec2mat
vector quantization
vitdec
weight, Hamming
wgn
white Gaussian noise
generating