Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing

Li Chai, Yuxia Sheng, Jingxin Zhang

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In one-dimensional signal processing, the perfect reconstruction (PR) synthesis FB is not unique for a given analysis LP oversampled filter bank (FB). Optimal Design methods have been developed to choose the optimal noise reduction linear phase (LP) synthesis FB. This paper deals with the optimal design of LP synthesis FBs for separable 2D image processing. With the same analysis LP oversampled FB for row and column processing separately, we show that the optimal synthesis FBs for row and column processing are generally not the same. A design method is developed when the spectrum of the subband noises is known. Numerical examples are given to demonstrate the effectiveness of our results.

Original languageEnglish
Title of host publication2011 IEEE International Conference on Acoustics, Speech, and Signal Processing
Subtitle of host publicationMay 22–27, 2011, Prague, Czech Republic, Proceedings
EditorsJonathon A. Chambers
Place of PublicationPiscataway, NJ, USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages4
ISBN (Electronic)9781457705397, 9781457705373
ISBN (Print)9781457705380
Publication statusPublished - 2011
EventIEEE International Conference on Acoustics, Speech and Signal Processing 2011 - Prague Congress Center, Praque, Czech Republic
Duration: 22 May 201127 May 2011 (Conference Proceedings)


ConferenceIEEE International Conference on Acoustics, Speech and Signal Processing 2011
Abbreviated titleICASSP 2011
CountryCzech Republic
Internet address


  • filter banks
  • lattice structure
  • Linear phase
  • perfect reconstruction

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