Digital Signal Processing: A User's Guide by Douglas L. Jones. - HTML preview
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Index
A
aliases, Impulse-Invariant Design
alphabet, Symbolic Signals
amplitude of the frequency
response, Restrictions on h(n) to get linear phase
auto-correlation, Auto-correlation-based approach
autocorrelation, Autocorrelation Function, Glossary
average
power, Mean-Square Value
B
bandlimited, Sampling Period/Rate
basis, Bases, Alternate Representation
basis matrix, Simplifying our Equation
bilateral z-transform, Basic Definition of the Z-Transform
bilinear transform, IIR Digital Filter Design via the Bilinear Transform
boxcar, Effects of Windowing
butterfly, Additional Simplification, Decimation in frequency
C
canonic, Direct-Form II IIR Filter Structure
cascade, Cascade structures
characteristic polynomial, Homogeneous Solution
coefficient vector, Simplifying our Equation
complement, Direct Sums
complex
exponential sequence, Complex Exponentials
continuous
random process, Random Process
continuous time fourier transform, Introduction
continuous-time fourier transform, Introduction
control theory, Examples of Pole/Zero Plots
correlation, Correlation, Glossary
correlation
coefficient, Correlation Coefficient
correlation
functions, Correlation
covariance, Covariance, Glossary
crosscorrelation, Crosscorrelation Function, Glossary
crosscorrelation function, Crosscorrelation Function
D
decimation in frequency, Decimation in frequency
decimation in time, Decimation in time, Radix-4 FFT Algorithms
decompose, Alternate Representation
delayed, Systems in the Time-Domain
deterministic linear
prediction, Prony's Method
deterministic signals, Deterministic Signals
dft even symmetric, Symmetry
dft odd symmetric, Symmetry
dft-symmetric, Effects of Windowing
digital
aliasing, Decimation: sampling rate reduction (by an integer factor M)
direct
method, Solving a LCCDE
direct sum, Direct Sums
direct-form fir filter structure, FIR Filter Structures
discrete fourier transform (dft), Sampling DTFT
discrete random process, Random Process
discrete-time sinc function, Discrete-Time Fourier Transform (DTFT)
dithering, Assumption #1
E
ergodic, Time Averages
extended prony
method, Prony's Method
F
finite, Aside
finite dimensional, Dimension
first-order
stationary, First-Order Stationary Process
flights, Example FFT Code
flow-graph-reversal theorem, Transpose-form FIR filter structures
fourier series, Equations
fourier transform, Basic Definition of the Z-Transform
G
generalized linear phase, Restrictions on h(n) to get linear phase
geometric
series, Discrete-Time Fourier Transform (DTFT)
gibbs phenomena, Fourier's Daring Leap
gradient descent, Quadratic minimization problems
H
hamming window, Effects of Windowing
hann window, Effects of Windowing
hanning, Effects of Windowing
hilbert
space, Orthogonal Compliments
homogeneous
solution, Direct Method
I
identity matrix, Examples
in-place algorithm, Radix-2 decimation-in-time FFT, Radix-2 decimation-in-frequency algorithm, Radix-4 FFT Algorithms
independent, Properties of Variance
index map, Rader's Conversion
indirect method, Solving a LCCDE
initial conditions, Difference Equation
interpolation, Interpolation: by an integer factor L
invertible, Inverses
J
joint density
function, Distribution and Density Functions
joint distribution
function, Distribution and Density Functions
L
large-scale limit cycle, Large-scale limit cycles
linear discrete-time systems, Systems in the Time-Domain
linear predictor, Prony's Method
linear
transformation, Linear Transformations
linearly
dependent, Linear Independence
linearly
independent, Linear Independence, Mean Value
live, Illustrations
M
matrix
representation, Matrices
mean, Mean Value
mean-square
value, Mean-Square Value
minimum phase, Analog Filter Design
misadjustment
factor, Second-order Convergence Analysis of the LMS Algorithm and Misadjustment Error
moment, Mean-Square Value
N
narrow-band spectrogram, Short Time Fourier Transform
non-recursive structure, FIR Filter Structures
nonstationary, Introduction
O
order, Difference Equation
orthogonal, Orthogonality, Review of Linear Algebra
orthogonal
compliment, Orthogonal Compliments
orthonormal, Orthogonality
orthonormal basis, Main Idea
overflow, Overflow Error
P
particular
solution, Direct Method
pearson's correlation
coefficient, Correlation Coefficient
perfect
reconstruction filters, DFT-Based Filterbanks
picket-fence effect, Zero-Padding
pole-zero
cancellation, Examples of Pole/Zero Plots
polyphase filters, Interpolation
polyphase structures, Interpolation
power series, Region of Convergence
power spectral density (psd), Classical Statistical Spectral Estimation
pre-classical, Impulse-Invariant Design
prediction, Adaptive IIR filters
primitive root, Fact from number theory
probability density
function (pdf), Distribution and Density Functions
probability distribution function, Distribution and Density Functions
prony's method, Prony's Method
Q
quantization error, Truncation Error
quantized, Transpose-Form IIR Filter Structure
R
rader's conversion, Rader's Conversion
radix-2, Decimation in time, Decimation in frequency
radix-4, Radix-4 FFT Algorithms
radix-4 butterfly, Radix-4 FFT Algorithms
radix-4 decimation-in-time fft, Radix-4 FFT Algorithms
raised-cosine windows, Effects of Windowing
random process, Random Process, Glossary
random sequence, Random Process
random signals, Stochastic Signals
realization, Random Process, Glossary
rectangle, Effects of Windowing
recursive least squares, Computational Considerations
rounding, Fixed-Point Quantization
roundoff error, Truncation Error
running fft, Running FFT
S
sample function, Random Process, Glossary
saturation, Fixed-Point Quantization
scale, Scaling
scalloping loss, Zero-Padding
second-order
stationary, Second-Order and Strict-Sense Stationary Process
sensitivity, Sensitivity analysis
shift-invariant
, Systems in the Time-Domain
side lobe, Zero-Padding
sign
bit, Two's-Complement Integer Representation
small-scale limit cycles, Small-scale limit cycles
span, Spanning Sets
spectrogram, Short Time Fourier Transform
standard basis, Matrices
stationary process, Introduction, Glossary
stationary processes, Introduction
stochastic
gradient, The LMS Adaptive Filter Algorithm
stochastic
signals, Stochastic Signals
strict
sense stationary (sss), Second-Order and Strict-Sense Stationary Process
subspace, Subspaces
T
table lookup, Precompute twiddle factors
the stagecoach effect, Sampling too slowly
time-varying behavior, Note
toeplitz, Linear Prediction
training
signal, Important Application
transfer function, Conversion to Z-Transform
transforms, Examples
transmultiplexors, Uniform DFT Filter Banks
truncation, Effects of Windowing, Fixed-Point Quantization
truncation error, Truncation Error
twiddle factors, Radix-4 FFT Algorithms
U
uncorrelated, Mean Value
unilateral z-transform, Basic Definition of the Z-Transform
unique, Alternate Representation
unit sample, Unit Sample, Unit Step
unitary, Review of Linear Algebra
V
variance, Variance
vector-radix ffts, Multi-dimensional FFTs
vectors, Examples
W
well-defined, Dimension
wide-band spectrogram, Short Time Fourier Transform
wide-sense stationary (wss), Wide-Sense Stationary Process
window, Effects of Windowing
wraparound, Fixed-Point Quantization
Y
yule-walker, Statistical Linear Prediction
Z
z-plane, The Complex Plane
z-transform, Basic Definition of the Z-Transform
z-transforms, Table of Common z-Transforms
zero-input limit cycles, Large-scale limit cycles
zero-padding, Zero-Padding