Fundamentals of Signal Processing by Minh N. Do - HTML preview
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Index
A
alphabet, Symbolic Signals
amplitude response, THE AMPLITUDE RESPONSE
autocorrelation, Autocorrelation Function, Glossary
average
power, Mean-Square Value
B
bandlimited, Sampling Period/Rate, Main Concepts
basis, Bases, Alternate Representation
basis matrix, Simplifying our Equation
bilateral z-transform, Basic Definition of the Z-Transform
C
characteristic polynomial, Homogeneous Solution
circular convolution, Compute IDFT of Y[k]
coefficient vector, Simplifying our Equation
complement, Direct Sums
complex
exponential sequence, Complex Exponentials
complex exponentials, Introduction
computational
algorithm, The FFT Algorithm, Glossary
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
countably infinite, Filtering in the Frequency Domain
covariance, Covariance, Glossary
crosscorrelation, Crosscorrelation Function, Glossary
crosscorrelation function, Crosscorrelation Function
D
de-noising, DWT Application - De-noising
deblurring, Image Restoration
decompose, Alternate Representation
delayed, Linear Time-Invariant Systems
deterministic signals, Deterministic Signals
direct
method, Solving a LCCDE
direct sum, Direct Sums
discrete fourier transform (dft), Sampling DTFT
discrete random process, Random Process
discrete time fourier transform, Introduction
discrete wavelet transform, Main Concepts
discrete-time fourier transform, Introduction
downsampling, Downsampling
E
envelop delay, WHY LINEAR-PHASE: MORE
ergodic, Time Averages
F
fft, The FFT Algorithm, Glossary
finite, Aside
finite dimensional, Dimension
first-order
stationary, First-Order Stationary Process
fourier transform, Basic Definition of the Z-Transform
frames, Spectrograms
functional, Introduction to Systems
G
gibbs phenomena, Fourier's Daring Leap
gradient descent, Quadratic minimization problems
group delay, WHY LINEAR-PHASE: MORE
H
hanning
window, Spectrograms
hilbert
space, Orthogonal Compliments, Hilbert Spaces
homogeneous
solution, Direct Method
I
identity matrix, Examples
independent, Properties of Variance
indirect method, Solving a LCCDE
initial conditions, Difference Equation
inner product space, Hilbert Spaces
invertible, Inverses
J
joint density
function, Distribution and Density Functions
joint distribution
function, Distribution and Density Functions
L
linear discrete-time systems, Linear Time-Invariant Systems
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
moment, Mean-Square Value
mother
wavelet, Main Concepts
multi-resolution, Main Concepts
N
narrow-band spectrogram, Short Time Fourier Transform
nonstationary, Introduction
normed linear space, Hilbert Spaces
O
order, Difference Equation
orthogonal, Orthogonality, Review of Linear Algebra
orthogonal
compliment, Orthogonal Compliments
orthonormal, Orthogonality
orthonormal basis, Main Idea
P
particular
solution, Direct Method
pearson's correlation
coefficient, Correlation Coefficient
periodic, Main Concepts
phase delay, WHY LINEAR-PHASE?
pole-zero
cancellation, Examples of Pole/Zero Plots
power series, Region of Convergence
probability density
function (pdf), Distribution and Density Functions
probability distribution function, Distribution and Density Functions
R
random process, Random Process, Glossary
random sequence, Random Process
random signals, Stochastic Signals
realization, Random Process, Glossary
recursive least squares, Computational Considerations
resampling, Resampling with Rational Factor
S
sample function, Random Process, Glossary
sample-rate conversion, Resampling with Rational Factor
scaling function, Main Concepts, The Haar System as an Example of DWT
second-order
stationary, Second-Order and Strict-Sense Stationary Process
shift-invariant
, Linear Time-Invariant Systems
signal, Signals Represent Information
span, Spanning Sets
spectral masking, Sub-band Processing
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
sub-bands, Sub-band Processing
subspace, Subspaces
symmetries, How does the FFT work?
T
the stagecoach effect, Sampling too slowly
time-varying behavior, Note
training
signal, Important Application
transfer function, Conversion to Z-Transform
transforms, Examples
twiddle factors, How does the FFT work?
U
uncorrelated, Mean Value
uncountably infinite, Filtering in the Frequency Domain
unilateral z-transform, Basic Definition of the Z-Transform
unique, Alternate Representation
unit sample, Unit Sample, Unit Step
unit-sample response, Filtering in the Frequency Domain
unitary, Review of Linear Algebra
upsampling, Upsampling
V
variance, Variance
vectors, Examples
W
wavelets, Main Concepts
well-defined, Dimension
well-matched, DWT Application - De-noising
wide-band spectrogram, Short Time Fourier Transform
wide-sense stationary (wss), Wide-Sense Stationary Process
window, Spectrograms
Z
z-plane, The Complex Plane
z-transform, Basic Definition of the Z-Transform
z-transforms, Table of Common z-Transforms
zero-pad, Filtering in the Frequency Domain