Bound-ratio minimization of filter bank frames by periodic precoding

Li Chai, Jingxin Zhang

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


Frame (upper and lower) bound ratio is a key factor of numerical stability of frame systems. While tight frames, of which the minimal ratio 1 is achieved, are much preferred in many practical situations, they may not be easily (even impossible) designed due to other criteria (for example, good subband frequency shape). In these situations, we may find alternative methods for improving the frame-bound-ratio. This paper studies the minimization of frame-bound-ratio for filter bank frames by using periodic precoding. A convex optimization based algorithm is proposed. Examples show 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
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, Czechia
Duration: 22 May 201127 May 2011 (Conference Proceedings)


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


  • Filter banks
  • frame bounds
  • perfect reconstruction
  • precoding

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