Perfect reconstruction circular convolution filter banks and their application to the implementation of bandlimited discrete wavelet transforms

Abstract

This paper introduces a new filter bank structure called the perfect reconstruction circular convolution (PRCC) filter bank. These filter banks satisfy the perfect reconstruction properties, namely, the paraunitary properties in the discrete frequency domain. We further show how the PRCC analysis and synthesis filter banks are completely implemented in this domain and give a simple and a flexible method for the design of these filters. Finally, we use this filter bank structure for a frequency sampled implementation of the discrete wavelet transform based on orthogonal bandlimited scaling functions and wavelets.