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Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing
book

Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing

by S. Allen Broughton, Kurt M. Bryan
November 2008
Intermediate to advanced
360 pages
8h 49m
English
Wiley-Interscience
Content preview from Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing

INDEX

l

l2

CN

RN

C(a, b)

L(N)

L(Z)

L2(N)

L2(Z)

L2(Z × Z)

L2(a, b)

Mm,n (C)

Mm,n (R)

Aliasing

conjugate

images

Analog-to-digital converter

Approximation

coefficients

two-dimensions

with Haar functions

Basic waveforms

discrete cosine transform

discrete Fourier transform

one-dimensional analog

one-dimensional discrete

two-dimensional analog

two-dimensional discrete

Basis

biorthogonal

Hamel

orthogonal

orthonormal

Blurring

Cascade algorithm

Cauchy-Schwarz inequality

Circulant matrix

Codebook

Codewords

Color

Compact support

Complete set

Compression

JPEG

JPEG 2000

Convolution Theorem

L2(Z)

one-dimensional CN

two-dimensional Mm,n (C)

Convolution

L2(N)

L2(Z)

circular CN

dc component

Denoise

Dequantization

Dequantization map

Detail

coefficients

diagonal

horizontal

two-dimensions

vertical

Digitize

Dilation equation

Dimension

Discrete cosine transform

matrix form

one-dimensional

properties

two-dimensional

Discrete Fourier transform

matrix form

one-dimensional

properties

two-dimensional

Discrete time Fourier transform

Discrete wavelet transform

multistage

two-dimensional

two-dimensional

Distortion, quantifying

Downsampling

Edge detection

Energy

Euler’s identity

Extension

half-point

periodic

whole-point

zero padding

Fast Fourier transform

Filter bank

M-channel

analysis

biorthogonal

multistage

orthogonal

perfect reconstruction

synthesis

two-channel

Filter design

Filter

acausal

adjoint

analysis

antisymmetric

causal

Daubechies

finite impulse response

Haar

halfband

high-pass

Le Gall 5/3

low-pass ...

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