On perfect cosine-modulated filter banks

We present a design technique for perfect-reconstruction cosine-modulated filter banks. The design of analysis and synthesis filter banks in this case is much more efficient in terms of computation compared with previous work. In particular, a design technique for perfect-reconstruction of FIR analysis and synthesis filter banks with arbitrary length is presented. The existence of synthesis/analysis filter banks for given analysis/synthesis filter banks are addressed via frame theory and (a time domain design technique) biorthogonal-like functions (BLFs), which have advantages over traditional short-time Fourier transform (STFT) and filter bank summations (FBS). A set of Gaussian analysis or synthesis filter banks is possible in our filter bank system