Design of signal-matched critically sampled FIR rational filterbank

Wavelet transform is used for efficient signal analysis in various applications. The traditional wavelet system is implemented using integer decimation factors, although frequency tiling offered by rational decimation may better adapt to signal characteristics. In this paper, we propose a design methodology for signal-matched filterbank (FB) with rational decimation factors that achieves perfect reconstruction with FIR filters. We have applied the proposed design on some real world signals. With the proposed design, we obtain a more compressible transform domain representation than the dyadic standard wavelet transforms.