Quaternionic Lattice Structures for Four-Channel Paraunitary Filter Banks. (24th December 2006)

• Record Type: Journal Article
• Authors: Parfieniuk Parfieniuk, Marek Marek; Petrovsky Petrovsky, Alexander Alexander
• Other Names: Schuller Schuller Gerald Gerald Academic Editor.
• Is Part Of: EURASIP journal on advances in signal processing. Volume 2007(2007)
• Publication Date: 2006-12-24
• Subjects: Signal processing -- Periodicals; Traitement du signal; Signal processing; Periodicals; 621.3822
• DOI: 10.1155/2007/37481
• Languages: English
• ISSNs: 1687-6172

Abstract

Abstract : 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 structures maintain losslessness regardless of coefficient quantization and can be viewed as extensions of the classic two-band lattice developed by Vaidyanathan and Hoang. Moreover, the proposed approach enables a straightforward expression of the one-regularity conditions. They are stated in terms of the lattice coefficients, and thus can be easily satisfied even in finite-precision arithmetic.