Design of synthesis filter banks for the structural similarity index

Li Chai, Yuxia Sheng, Jingxin Zhang

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

7 Citations (Scopus)


The optimal synthesis filter bank (FB) is designed for a given analysis FB by using the structural similarity (SSIM) criteria. Under the assumption that the source signal is a wide sense stationary (WSS) process with known power spectral density (PSD), that the noise is Gaussian white, and that the filter length is equal to the decimation number, the optimization problem is formulated. The closed-form solution is obtained when the mean of the source is zero. It is shown that the optimal FB designed by SSIM criteria and the one by mean square error (MSE) criteria differs only from a scalar factor. Finally, numerical example is given to compare the performance of different synthesis FBs.

Original languageEnglish
Title of host publication2013 IEEE International Conference on Image Processing, ICIP 2013 - Proceedings
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages5
ISBN (Print)9781479923410
Publication statusPublished - 2013
Externally publishedYes
EventIEEE International Conference on Image Processing 2013 - Melbourne Convention and Exhibition Centre (MCEC), Melbourne, Australia
Duration: 15 Sept 201318 Sept 2013
Conference number: 20th (IEEE Conference Proceedings)


ConferenceIEEE International Conference on Image Processing 2013
Abbreviated titleICIP 2013
Internet address


  • filter banks
  • optimal design
  • Structural similarity
  • subband noises

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