ABSTRACT

The basic operations of and the reconstruction errors in a maximally decimated uniform filter bank are discussed in Section 21.3. By using the polyphase representation, the necessary and sufficient conditions for aliasing-free filter banks are given in Section 21.3. Moreover, several examples of alias-free filter banks such as the two-channel quadrature-mirror-filter (QMF) bank, the two-channel allpass-based IIR filter bank, and the M-channel DFT filter bank are elaborated in detail.