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| Авторизация |
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| Поиск по указателям |
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| Radunovic D.P. — Wavelets: From Math to Practice |
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| Предметный указатель |
 ,  ,  9
Aliasing 125
Basis, biorthogonal 11 96
Basis, complete orthonormal 10
Basis, frame 11
Basis, orthonormal 10
Basis, Riesz 11 97
Battle — Lemarie wavelet 104
Biorthogonal wavelet 40 51 96 104 146
Cascade algorithm 81
Characteristic function 3 15 24 118 124
Coiflet wavelet 95
Compact support 5 29
Compression 90
Condition, approximation of order r 61 69 146
Condition, biorthogonality 146
Condition, eigenvalues 146
Condition, orthogonality 137 139 145
Condition, perfect reconstruction 144
Convolution, discrete 18
Convolution, function 15 98
Convolution, signal 126
Convolution, theorem 16 19
Cyclic matrix 19
Daubechies 5
Daubechies filter 141 142
Daubechies function 53
Daubechies wavelet 54 93
Dilatation 36
Dilatation equation 38 96
Dilatation equation, cascade algorithm 43 57 70
Dilatation equation, coefficients 56
Dilatation equation, Fourier transform 60
Dilatation equation, recursion 66
Dirac function 24 109
Double shift orthogonality 43 136 146
Eigenfunctions, convolution operator 15
Eigenfunctions, differential operator 14
Eigenfunctions, finite difference operator 14
Energy norm 7 10 14
Energy norm, discrete 9
Filter 126
Filter, analysis 131
Filter, averaging 128
Filter, bank 131 135
Filter, causal 126
Filter, delay 127
Filter, differing 129
Filter, FIR 127
Filter, frequency response 59 126
Filter, halfband 140
Filter, Highpass 129
Filter, HR 127
Filter, invertible 130
Filter, Lowpass 128
Filter, matrix 18 64 126
Filter, maxflat 142
Filter, mirror symmetry 131 137
Filter, perfect reconstruction 131 136
Filter, power spectral response 139
Filter, synthesis 131
FOURIER 2
Fourier analysis 13
Fourier coefficient 10
Fourier complex series 13
Fourier discrete series 21
Fourier discrete transform 21
Fourier inverse transform 15
Fourier matrix 18
Fourier series 10 20
Fourier short time transform 26
Fourier transform 15 20
Fourier trigonometric series 13
frequency 13
Frequency range 124
Gramm determinant 9
Haar 3
Haar filter bank 134
Haar wavelet 49
| Harmonic analysis 13
Inner product 7 8
Least-squares approximation 7
Lifting 111
Mexican hat 117
Meyer wavelet 118
Modulation 16 28
Morlet wavelet 116
Multiresolution 4 35
Multiresolution, decomposition 40
Nyquist rule 32
Nyquist speed 124
Operator, downsampling 64 131
Operator, upsampling 132
Parseval equality 10 16 20 30
Parseval equality, generalised 10
Poisson summation formula 125
Pre-filtering 91
Pyramid algorithm 45 97
Pyramid algorithm, analysis 85
Pyramid algorithm, synthesis 86 97
Sampling theorem 123
Scaling 28
Scaling function 36
Scaling function, box function 48 98
Scaling function, frequency domain 59
Scaling function, graph 92
Scaling function, interpolation 106
Scaling function, orthogonality 43 61
Scaling function, roof function 50
Scaling function, smoothness 82
Shannon function 124
Shannon wavelet 117
signal 18 123 149
Signal, analysis 84
Signal, processing 123
Signal, synthesis 84
Signal, two-dimensional 123 149
Space, ![$\mathcal{L}_{2}[a, b]$](/math_tex/021809bf23207ce6d0f172c8182d3cbb82.gif) 7
Space, approximation  36
Space, strictly normed 9
Space, wavelet  37
Spectral analysis 14
Spectrum 14
Spline, B-spline 53 98
Spline, box function 48 98
Spline, derivative 101
Spline, roof function 50 100
Symlet wavelet 94
Transform, discrete wavelet 83
Transform, FFT 21
Transform, Short Time Fourier 26
Transform, wavelet 29 45 86
Transform, z-transform 19
Translation 28 37
Two-dimensional wavelets 119
Uncertainty principle 27
Wavelet 3 5 29 38 55
Wavelet, accuracy 71
Wavelet, approximation 74
Wavelet, coefficients 75
Wavelet, discrete 33
Wavelet, discrete transform 83
Wavelet, equation 38 56 96
Wavelet, fast transform 85
Wavelet, first generation 111
Wavelet, frequency domain 62
Wavelet, graph 92
Wavelet, interpolation 105 109
Wavelet, inverse transform 30
Wavelet, lazy 111
Wavelet, moment 41 73
Wavelet, multiwavelet 52
Wavelet, orthogonality 44
Wavelet, packet analysis 93
Wavelet, properties 119 121
Wavelet, second generation 111
Wavelet, semiorthogonal 103
Wavelet, space 37
Wavelet, transform 29 45
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