Optimization of high-energy-compaction, nearly-orthonormal, linear-phase filter banks

Xuguang Yang, Kannan Ramchandran, Pierre Moulin

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, we design two-channel, perfect-reconstruction, linear-phase, biorthogonal filter banks that maximize orthonormality subject to structural constraints on the filter bank. These structural constraints may be adjusted so as to provide various degrees of energy compaction. The applications targeted are in compression. Proper cost functions are formulated and an efficient signal-adaptive optimization algorithm is proposed. Our algorithm is motivated by a number of interesting properties of the correlation matrix of typical signals and images, and efficiently uses the degrees of freedom in the parameterization of perfect reconstruction filter banks. The algorithm provides different levels of tradeoff between the energy compaction and approximate orthonormality goals. Comparisons with the popular Daubechies 9-7 filter bank show significant improvements in terms of orthogonality and energy compaction.

Original languageEnglish (US)
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume5
StatePublished - Jan 1 1998
EventProceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6) - Monterey, CA, USA
Duration: May 31 1998Jun 3 1998

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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