Theory of cosine‐modulated two‐dimensional perfect reconstruction filter banks

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This paper considers a cosine‐modulated, two‐dimensional (2‐D) perfect reconstruction (PR) filter banks theory. First, a 2‐D digital filter with half‐pass‐band obtained by the sampling matrix had to be designed. Next, 2‐D analysis filter banks are realized by cosine‐modulating this prototype 2‐D digital filter so that 2‐D analyzed signals become real. It is shown that the modulation in the 2‐D frequency plane is equivalent to 1‐D modulation. A necessary and sufficient condition for 2‐D perfect reconstruction filter banks is derived. If the polyphase filter pairs of the prototype filter doubly complement, the resulting 2‐D filter bank satisfies the condition of perfect reconstruction.

Original languageEnglish
Pages (from-to)69-77
Number of pages9
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Issue number11
Publication statusPublished - 1994


  • Cosine modulation
  • perfect reconstruction
  • two‐dimensional filter bank

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Theory of cosine‐modulated two‐dimensional perfect reconstruction filter banks'. Together they form a unique fingerprint.

Cite this