Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction

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Abstract

In this paper, I consider about the theory of cosine-modulated 2 Dimensional (2-D) perfect reconstruction (PR) Filter banks. At first, I design a 2-D digital filter with half passband obtained by the sampling matrix. Next, 2-D analysis filter banks are realized by cosine-modulating this prototype 2-D digital filter. It is shown that the modulation in 2-D frequency plane is equivalent to the 1-D modulation. An necessary and sufficient condition for 2-D perfect reconstruction filter banks is derived. If the polyphase filter pairs of the prototype filter have doubly-complement, the resulting 2-D filter bank satisfies the condition of perfect reconstruction.

Original languageEnglish
Article number390071
Pages (from-to)III137-III140
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume3
DOIs
Publication statusPublished - 1994 Jan 1
EventProceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust
Duration: 1994 Apr 191994 Apr 22

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ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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