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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
Noncausal symmetric filter      172
Nondyadic points      187
Nonlinear contrast enhancement      245
Nonlinear time-frequency distributions      219
Norm      6
Normalization factor      155
Normed linear space      6
Nyquist rate      47
Octave levels      191
ODE      294
OFDM      250
Order of approximation      102
Orthogonal      92 291
Orthogonal decomposition      10 92
Orthogonal frequency division multiplexing      250
Orthogonal projection      16 148
Orthonormal basis      11
Orthonormal scaling function      118 212
Orthonormal wavelets      108 114
Orthonormalization      14
Parseval identity      157
Parseval's theorem      40
Partial sum      35 49
Partition of unity      45 102 281
Pattern recognition      221
PDE      267
Percentage thresholding      218
Perfect reconstruction      177
Periodic wavelets      281
Photonegative x-ray      244
Piecewise sinusoids      276
Plane wave      269
Point matching      272
Poisson's sum      35 43
Polynomial reproducibility      103
Polyphase domain      180
Polyphase representation      180
pos      238
PR condition      167 184
PR filter bank      166 182
PR requirements      177
Predictive coding      235
Processing domain      182
Processing goal      183
Product filter      175
Projection      8
PWS      276
Pyramid decomposition      210
QMF      171
Quadratic chirp      82
Quadratic superposition principle      81
Quadrature mirror filter      171
Radar cross section      270
Radar imaging      82
RCS      270
Reconstruction algorithm      153
Reconstruction process      164
Rectangular time-scale grid      193
Region of convergence      26
Rendering techniques      256
Riesz basis      13
Riesz bounds      14 114
Riesz lemma      127
RMS bandwidths      191
Runlength code      235
Sampling      23
Sampling theorem      35 46
Scalar product      8
Scaling function      91
Scattered electric fields      269
Second-kind integral equations      273
Semiorthogonal      92 108 291
Semiorthogonal basis      11
Semiorthogonal decomposition      95
Semiorthogonal spline wavelets      112
Semiorthogonal subspaces      154 156
Shannon function      13
Shannon wavelet      118
Shift-invariant systems      24
Short-Time Fourier Transform      60
Signal representation      148
Signature identification      210 221
Singular matrix      19
slots      276
Smoothing filter      25
Smoothing function      120
Soft thresholding      217
SOT      237
Space-time adaptive method      295
Sparse matrices      273
Sparsity      282
Spatial oriented tree      242
Spectral domain methods      275
Spectral feature extraction      227
Spectral method      132
Spectral-domain analysis      168
Spline functions      98
Spline wavelets      160
Splines      45
Splines computer programs      106
Splines cubic      159 162
Splines linear      159 162
Splines properties      102
Splitting method      211
Stable basis      15
Stable numerical scheme      295
Standard wavelet decomposition      149 189
STFT      58 67
Strang — Fix condition      102
STRIPS      276
Subdomain basis      272
Surface current distribution      269
Synthesis transform      153
Synthesis wavelet      94
Target detection      210
Target identification      210
Testing functions      272
Thin strip      270
Thin wire      270
Three-dimensional wavelets      255
Thresholding      205 214 275 282
Thresholding hard      216
Thresholding histogram      248
Thresholding percentage      218
Thresholding soft      217
Time scaling      38
Time shifting      38 63
Time-domain analysis      176
Time-domain biothogonal condition      179
Time-frequency analysis      57
Time-frequency analysis continuous wavelet transform      67
Time-frequency analysis discrete Gabor representation      65
Time-frequency analysis discrete short-time Fourier transform      64
Time-frequency analysis discrete wavelet transform      67 72
Time-frequency analysis Gabor transform      61
Time-frequency analysis integral wavelet transform      67
Time-frequency analysis short-time Fourier transform      60
Time-frequency analysis time-frequency window      62 70
Time-frequency analysis time-frequency window product      60 279
Time-frequency analysis uncertainty principle      60
Time-frequency analysis wavelet series      73
Time-frequency window      62 70
Time-frequency window product      60 279
Time-scale analysis      69
Time-scale grid      187
Time-scale map      150
Tonal equalizer      165
Total positivity      102 275
TP      249
Translation      69
transmission line      276
Transmission line discontinuity      276
TRANSPOSE      18
Transverse magnetic      269
True positives      249
Two-channel biorthogonal filter bank      179
Two-channel perfect reconstruction      165
Two-dimensional wavelet algorithm      233
Two-dimensional wavelet packets      231
Two-dimensional wavelets      228
Two-scale relations      96 153
Uncertainty principle      60
Unitary matrix      23
Unitary similar      273
Vanishing moments      69 275 285
Vector spaces      7
waveguide      205
Wavelet coefficient      150 246
Wavelet decomposition      149 245
Wavelet feature extraction      226
Wavelet MoM      268
Wavelet packet algorithms      210 212 234
Wavelet packet based cross-term deleted representation      220
Wavelet packet feature extraction      227
Wavelet packet tree decomposition      210
Wavelet packets      84 152 211 226 252 280
Wavelet series      73
Wavelet subspaces      154
Wavelet techniques      273
Wavelet tree coder      236
Wavelets: Battle — Lemarie      123
Wavelets: biorthogonal      129
Wavelets: boundary      281
Wavelets: Chui — Wang      112
Wavelets: Cohen, Daubechies, and Feaveau      130
Wavelets: coiflets      137
Wavelets: computer programs      138 139
Wavelets: Daubechies      125
Wavelets: graphical display      132
Wavelets: Haar wavelet      105
Wavelets: intervallic      281
Wavelets: Meyer      119
Wavelets: Morlet      71
Wavelets: orthonormal      108 114
Wavelets: periodic      281
Wavelets: Shannon      118
Wavelets: spline      112
Wavelets: three-dimensional      255
Wavelets: two-dimensional      228
Weighting functions      272
Wideband correlation processing      187
Wigner — Ville distribution      76 83 219
Wigner — Ville distribution auto term      80 220
Wigner — Ville distribution computer programs      86
Wigner — Ville distribution cross term      80 220
Wigner — Ville distribution properties      80
Wigner — Ville distribution wavelet packet based cross-term deleted representation      220
Wigner — Ville distribution WPCDR      220
Window function      58
Window function center      59
Window function radius      59
Window function time-frequency window      62
Window function time-frequency window product      60
Window function uncertainty principle      60
Window function width      59
WPCDR      220
ws      73
z-transform      25
z-transform, inverse z-transform      28
z-transform, region of convergence      26
Zero-tree algorithm      236
ZTR      238
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