Passive, active, and digital filters (3ed., CRC, 2009) - tiera.ru

IndexIN-5Bamberger pyramid, 25-27Gaussian white noise, 25-26wavelet denoising procedure,25-26–25-27iris recognition, 25-28texture analysis andsegmentationBamberger pyramid,25-25–25-26classification system, 25-25multichannel method,25-24–25-25undecimated directional filterbank (UDFB)decomposition, 25-22–25-23implementation,25-21–25-22shift invariance, 25-20–25-21UCFB and UFFB,25-21–25-22undecimated discrete wavelettransform (UDWT),25-20unimodular resamplingmatrix, 25-22velocity selective filter bank(VSFB), 25-29–25-30Discrete cosine transform (DCT),24-43Discrete Fourier transform (DFT),22-10, 24-43Discrete-space Fouriertransform, 22-7Discrete-time signal, 1-2Discrete wavelet packet transform(DWPT), 27-27Discrete wavelet transform (DWT),24-8–24-91-D multirate filter banks2-band filter bankanalysis, 24-3downsampling andupsampling, 24-4–24-5output expression, 24-3reconstruction operation,24-3–24-4binary filter treesdecomposition levels,24-6–24-7size and bandwidth, 24-7transformation, 24-7–24-8discrete wavelet transform(DWT), 24-2FIR filters and waveletsantialiasing condition, 24-12biorthogonal filter bank,24-16Daubechies wavelets,24-16–24-19high-pass filter, 24-14LeGall 3,5-tap filter,24-14–24-15linear interpolation, 24-14linear phase and balancedfrequency response,24-19–24-21low-pass product filter,24-13number of zeros,24-13–24-14perfect reconstructioncondition, 24-12smoother wavelet,24-21–24-24Hilbert pairsà trous algorithm,24-43–24-44common-factor dual-treefilter design, 24-45dual-tree wavelet transform,24-44–24-45metrics for shift dependence,24-50–24-52Q-shift dual-tree filter design,24-46–24-50shift dependence and shiftinvariance, 24-43IIR filterall-pass filter design,24-25–24-26causal and anticausalfiltering, 24-24transformation-based design,24-26–24-28types, 24-24lifting schemeconstruction, 24-34–24-36implementation,24-37–24-39M-band filter banklifting, 24-42–24-43type 1 polyphasedecomposition,24-41–24-42type 2 polyphasedecomposition, 24-42types, 24-43multirate filtering, 24-5–24-6nonlinear filter bank,24-40–24-41polyphase representationanalysis and synthesisoutputs, 24-30decomposition, 24-29–24-30even- and odd-indexedcoefficients, 24-29linear phase structure,24-32–24-33orthogonal lattice structure,24-32total system polyphasematrix, 24-31–24-32signal sparsity, 24-2wavelets and scaling functionsanalysis side equation, 24-9convergence condition, 24-11equivalent transfer function,24-10–24-11Fourier domain, 24-10impulse and frequencyresponses, 24-8–24-9piecewise constant function,24-11synthesis side equation,24-9–24-10vanishing moments (VM),24-11Dual-amplifier twin-T biquadsband-rejection filter, 13-6–13-7Cauer low-pass and high-passfilter, 13-8–13-9high-pass filter, 13-7–13-8low-pass filter, 13-7twin-T resonator, 13-5–13-6voltage transfer ratios, 13-73-D wavelet packetsadaptive transform, 27-27restoration algorithm,27-27–27-28thresholding, 27-26wavelet denoising, 27-26–27-27DWPT, see Discrete wavelet packettransformEElliptic approximationChebyshev rational function,2-26–2-27elliptic and ordinary sinefunction, 2-28–2-29elliptic rational functions, 2-31