Two Channel Paraunitary Filter Banks Based on Linear Canonical Transform

Further results on DCT-based linear phase paraunitary filter banks

A DCT-based simplified general structure for linear phase paraunitary filter bank (LPPUFB) is developed recently by the preand post-processing of the DCT in the time domain. The new structure can be viewed as the dual of the generalized LOT (GenLOT). In this paper, we generalize the result to odd-channel LPPUFB and LPPUFB with pair-wise mirror image property. Design examples and their applicati...

Two Channel Perfect Reconstruction Multirate Filter Bank Based on Linear Canonical Transform

The multirate digital signal processing (DSP) is required in digital system where more than one sampling rate is required. In this paper, we propose the two channel (2dimensional) perfect reconstruction multirate filter bank, which is based on the linear canonical transform. The main motivation is the fact that Linear Canonical Transform (LCT) provides a general mathematical tool with very broa...

On Fa torization of M-Channel Paraunitary Filter Banks

On orthonormal wavelets and paraunitary filter banks

Binary tree-structured filter banks have been employed in the past to generate wavelet bases. While the relation between paraunitary filter banks and orthonormal bases is known to some extent, there are some extensions which are either not known, or not published so far. In particular it is known that a binary tree-structured filter bank with the same paraunitary polyphase matrix on all levels ...

Quaternionic Lattice Structures for Four-Channel Paraunitary Filter Banks

A novel approach to the design and implementation of four-channel paraunitary filter banks is presented. It utilizes hypercomplex number theory, which has not yet been employed in these areas. Namely, quaternion multipliers are presented as alternative paraunitary building blocks, which can be regarded as generalizations of Givens (planar) rotations. The corresponding quaternionic lattice struc...