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Goswami J.C., Chan A.K. — Fundamentals of Wavelets : Theory, Algorithms, and Applications
Goswami J.C., Chan A.K. — Fundamentals of Wavelets : Theory, Algorithms, and Applications

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Название: Fundamentals of Wavelets : Theory, Algorithms, and Applications

Авторы: Goswami J.C., Chan A.K.

Аннотация:

Wavelet theory originated from research activities in many areas of science and engineering. As a result, it finds applications in a wide range of practical problems. Wavelet techniques are specifically suited for nonstationary signals for which classic Fourier methods are ineffective.
Based on courses taught by the authors at Texas A&M University as well as related conferences, Fundamentals of Wavelets is a textbook offering an up-to-date engineering approach to wavelet theory. It balances a discussion of wavelet theory and algorithms with its far-ranging practical applications in signal processing, image processing, electromagnetic wave scattering, and boundary value problems.
Concluding chapters present interesting applications of wavelets to signal processing and boundary value problems. Fundamentals of Wavelets is an essential introduction to wavelet theory for students and professionals alike in a practical, real-world engineering context.


Язык: en

Рубрика: Математика/Численные методы/Вейвлеты, обработка сигналов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 306

Добавлена в каталог: 02.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acoustic signals      221
Adaptive resonance theory      248
Admissibility condition      69
Algorithms: CAD      244
Algorithms: computer programs      184 258 263
Algorithms: decomposition      149
Algorithms: FFT-based      200
Algorithms: filter bank      141
Algorithms: marching      257
Algorithms: pyramid decomposition      210
Algorithms: reconstruction      153
Algorithms: three-dimensional wavelet      255
Algorithms: two-dimensional wavelet      233
Algorithms: wavelet packet      210 212 234
Algorithms: zero-tree      236
Aliasing      143
Ambiguity function      83
Analyzing wavelet      94
Antialiasing condition      174 184
Approximation subspace      148
Arithmetic code      235
ART      248
Autocorrelation      95 135 149
Averaging filter      25
B-spline      45
Basis functions      9
Basis functions biorthogonal      11
Basis functions dual      11
Basis functions entire-domain      272
Basis functions global      272
Basis functions Haar      13
Basis functions local      13 272
Basis functions orthonormal      11
Basis functions Riesz      13
Basis functions semiorthogonal      11
Basis functions stable      15
Basis functions subdomain      272
Battle — Lemarie wavelet      123
Bernstein polynomial      295
Best basis selection      220
Binary phase-shift key      252
Binary scales      187
Binomial theorem      136
Biorthogonal basis      11
Biorthogonal decomposition      93
Biorthogonal filter bank      174
Biorthogonal wavelets      95 108 129
Biorthogonal wavelets Cohen, Daubechies, and Feaveau      130
Biorthogonality condition      93 179
Bit plane coding      235
Boundary condition      269
Boundary value problems      267
Boundary wavelets      281
Bounded interval      280
BPSK      252 5
BVP      267
CAD algorithm      244
Cardinal B-splines      112
Causal filter      176
Causality      176
Centered integral wavelet transform      196
Change of bases      21 154 157 160
Chirp signal      68 204
Chui — Wang wavelet      112
CIWT      196
Cluster detection      244
Coding: arithmetic      235
Coding: bit plane      235
Coding: entropy      238
Coding: EZW      238
Coding: Huffman      235
Coding: image      235
Coding: lossy      235
Coding: predictive      235
Coding: runlength      235
Coding: wavelet tree      236
Cohen, Daubechies, and Feaveau wavelet      130
Coiflets      137
Comb function      33
Computer programs: 1-D algorithm      184
Computer programs: 2-D algorithm      258
Computer programs: B-spline      106
Computer programs: iterative method      139
Computer programs: short-time Fourier transform      85
Computer programs: wavelet      138
Computer programs: wavelet packet      263
Computer programs: Wigner — Ville distribution      86
Condition number      291
Continuous wavelet transform      67
Conventional bases      273
Conventional MoM      268
Convolution      24 39 147
Corner smoothing functions      120
Correlation function      81
Crack detection      202
Critical sampling      150
Cubic spline      159 162
Cut-off frequency      205
CWT      67 150
Danielson and Lanczos      55
Daubechies      211
Daubechies wavelet      125
Daubechies' orthogonal filters      176
DCT      245
Decimation      142 147
Decomposition relation      97 151
Design origin      183
Determinant      19
DFT      55
Differential equations      294
Differential operator      272
Differentiating filter      25
Digital Signal Processing      210
Dilation (refinement) equation      91
Dilation parameters      69
Direct sum      91
Direct-sum decomposition      91
Direction decomposition      210
Dirichlet kernel      55
Discontinuity problem      276
Discrete Fourier basis      50
Discrete Fourier Transform      54
Discrete Gabor representation      65
Discrete short-time Fourier transform      64
Discrete wavelet transform      67 72
Discrete-time Fourier transform      52
Dispersive nature      205
Doppler      83
Doppler frequencies      165
DTFT      52
Dual basis      11
Dual scaling function      157
Dual spline      154
Dual wavelet      93
Duality      93
Duality principle      155
DWT      67 182
Dyadic points      156 187
Edge effect      281
Eigenmatrix      19
Eigensystem      19
Eigenvalue      19
Eigenvalue method      134
Eigenvectors      20
Electromagnetic scattering      268
Elliptic PDEs      295
Embedded zerotree wavelet      238
Entire-domain basis      272
Entropy coder      238
Error considerations      282
Euclidean vector space      7
Euler Frobenius Laurent polynomial      108 114 157
Evolution problems      295
EZW      238
False positives      249
Fast integral transform      187
Faulty bearing      221
Feature extraction: spectral      227
Feature extraction: wavelet packets      227
Feature extraction: wavelets      226
FEM      294
FFT      55 226
FFT-based algorithm      200
Filter bank algorithms      141
Filters: averaging      25
Filters: biorthogonal      174
Filters: causal      176
Filters: differentiating      25
Filters: filterbank      141 180
Filters: FIR      114 156 172
Filters: half-band      172
Filters: HBF      172
Filters: highpass      25
Filters: IIR      114 172
Filters: lowpass      25 102
Filters: noncausal symmetric      172
Filters: perfect reconstruction      177
Filters: PR condition      167 184
Filters: PR filter bank      166 182
Filters: PR requirements      177
Filters: QMF      171
Filters: quadrature mirror      171
Filters: smoothing      25
Filters: two-channel biorthogonal filter bank      179
Finer scale resolution      190
Finer time resolution      188
Finite element method      294
Finite-energy function      90
FIR filters      114 156 172
First-kind integral equation      268
Fitter bank      141 180
FIWT      196
Fourier method      31
Fourier series      31
Fourier series kernel      34
Fourier transform      35
Fps      249
frequency scaling      38
Frequency shifting      38 63
Functional      5
Gabor transform      61
Galerkin method      272 274 279
Gaussian function      42 103
Generalized linear phase      171
Generalized self-similarity tree      244
Gibb's phenomenon      50
Global basis      272
Graphical display      132
GST      237
Haar      96
Haar basis      13
Haar wavelet      105
Half-band filter      172
Hard thresholding      216
Hat function      84
HBF      172
Hermitian matrix      22
Hierarchical methods      294
Hierarchical wavelet decomposition      211
High frequency methods      294
Highpass filter      25
Histogram thresholding      248
Huffman code      235
Identity matrix      19
IIR filters      114 172
Image coding      235
Image compression      210 235
Image visualization      210
Impedance matrix      271
Inner product      8
Integral equations      268
Integral operator      272
Integral wavelet transform      67
interference suppression      210 219
Interoctave approximation subspaces      194
Interoctave parameter      190
Interoctave scales      190
Interpolation      144 147
Interpolator      145
Interpolatory representation      103
Interpretations      74
Intervallic wavelets      281
Inverse      19
Inverse wavelet transform      69
Inversion formula      61
Iteration method      132
IWT      67
Knot sequence      281
Linear function      197
Linear operator      272
Linear phase      171
Linear spaces      5
Linear spline      159 162
Linear transformation      18
Linearity      37 62
Local basis      13 272
Logarithmic division      220
Lossy coding      235
Lowpass filter      25 102
Mammogram      244
Marching algorithm      257
Marginal properties      80
Matrix: determinant      19
Matrix: eigenmatrix      19
Matrix: eigensystem      19
Matrix: eigenvalue      19
Matrix: eigenvectors      20
Matrix: Hermitian      22
Matrix: identity      19
Matrix: inverse      19
Matrix: minor      19
Matrix: singular      19
Matrix: sparse      273
Matrix: transpose      18
Matrix: unitary      23
MCCS      250
Mean square error      16
Medical image visualization      252
Method of moments      268 272
Meyer wavelet      119
Meyer Wavelet corner smoothing functions      120
Microcalcifications      244
Minor      19
MOM      268
Moment property      200
Moments      38
Morlet wavelet      71
Moving Average      24
MRA      89 151
MRA space      103
Multicarrier communication systems      210 249
Multigrid      294
Multiresolution analysis      89
Multiresolution spaces      89
Multivoice per octave      187
Music signal      204
MVPO      187
NEG      238
Neural network      223
noise reduction      210
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