Abstract
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 language | English |
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| Title of host publication | 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing |
| Subtitle of host publication | May 22–27, 2011, Prague, Czech Republic, Proceedings |
| Place of Publication | Piscataway, NJ, USA |
| Publisher | IEEE, Institute of Electrical and Electronics Engineers |
| Pages | 4380-4383 |
| Number of pages | 4 |
| ISBN (Electronic) | 9781457705397, 9781457705373 |
| ISBN (Print) | 9781457705380 |
| DOIs | |
| Publication status | Published - 2011 |
| Event | IEEE International Conference on Acoustics, Speech and Signal Processing 2011 - Prague Congress Center, Praque, Czech Republic Duration: 22 May 2011 → 27 May 2011 http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5916934 (Conference Proceedings) |
Conference
| Conference | IEEE International Conference on Acoustics, Speech and Signal Processing 2011 |
|---|---|
| Abbreviated title | ICASSP 2011 |
| Country | Czech Republic |
| City | Praque |
| Period | 22/05/11 → 27/05/11 |
| Internet address |
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Keywords
- Filter banks
- frame bounds
- perfect reconstruction
- precoding