ABSTRACT
The basic operations of and the reconstruction errors in a maximally decimated uniform filter bank are discussed in Section 89.3. By using the polyphase representation, the necessary and sufficient conditions for aliasing-free filter banks are given in Section 89.3. 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. Section 89.4 presents the theory and lattice structures for perfect-reconstruction (PR) filter banks. The
section is divided into three subsections: paraunitary filter bank, linear-phase filter bank, and cosinemodulated filter bank.
