Linear phase orthonormal filter banks

  • Authors:

  • A. K. Soman;P. P. Vaidyanathan;T. Q. Nguyen

  • Affiliations:

  • EE Department, Cal Tech, Pasadena, CA;EE Department, Cal Tech, Pasadena, CA;MIT Lincoln Labs, Lexington, MA

  • Venue:
  • ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
  • Year:
  • 1993

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Abstract

Maximally decimated perfect-reconstruction filter banks have been used in the past to decompose signals into subbands. In this paper, we study paraunitary systems in which each individual filter in the analysis and synthesis banks has linear phase. This property is often desirable for several applications, particularly in image processing. We begin by answering several theoretical questions pertaining to linear phase paraunitary systems. Next, we develop a factorization for such systems which will be proved to be minimal as well as complete. further, we reduce the number of parameters in the optimization process by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Finally, we present examples of M-band linear phase orthonormal wavelets.