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| Goswami J., Chan A. — Fundamentals of Wavelets. Theory, Algorithms, and Applications |
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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 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
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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