Multirate Systems and Filter BanksPresenting general principles without bias towards specific application-oriented detail, this text offers a thorough, unified, and in-depth treatment of the techniques of multirate signal processing. KEY TOPICS: It is the first book to cover the topics of digital filter banks, multidimensional multirate systems, and wavelet representations under one cover. MARKET: This manual will be valuable to engineers working with applications of speech and image compression, digital audio, and statistical and adaptive signal processing. |
Contents
Review of DiscreteTime Systems | 12 |
Review of Digital Filters | 42 |
Fundamentals of Multirate Systems | 100 |
Copyright | |
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alias-free aliasing allpass filters allpass function amplitude distortion analysis bank analysis filters building blocks Chap coding gain Consider cosine modulated decimation filter defined delay denote Design example diagonal digital filter discrete-time eigenvalues elliptic filter Eo(z equivalent F₁(z Figure filter bank filter Ho(z FIR filters Fo(z Fourier transform frequency H₁(z Hk(z HN(z Ho(z implementation implies impulse response input integer inverse lattice structure Let H(z linear phase lossless system lowpass filter LTI system M-channel magnitude response multirate noise nonsingular nonzero obtain optimal orthonormal output paraunitary passband perfect reconstruction perfect reconstruction system Po(z poles polynomial polyphase components polyphase matrix power complementary power symmetric Problem QMF bank quantization real coefficient result sampling satisfy sequence shown in Fig shows signal STFT stopband subband Suppose synthesis bank synthesis filters Theorem transfer function unimodular unit circle unitary unitary matrix Vaidyanathan variance vector verify z-transform zero