File(s) not publicly available

Optimal two-sided diagonal scaling for filter bank frames

journal contribution
posted on 06.12.2017, 00:00 authored by Li ChaiLi Chai, J Zhang, Qing-Long HanQing-Long Han
Two-sided diagonal scaling for transfer matrices is formulated. An efficient algorithm is proposed to compute globally optimal solutions using the iterated bi-section and linear matrix inequality (LMI) solver. It is shown that the two-sided scaling of filter bank (FB) frames can be implemented by the adjustment of channel gains and the periodic precoding of source signal, and that the frame-bound-ratio of FB frames can be effectively improved by such scaling. Explicit formulas are established for both uniform and nonuniform FB frames, including detail formulas for discrete Weyl-Heisenberg frames and tree-structured FBs (discrete wavelets). Different examples show the effectiveness of the obtained results.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

59

Issue

12

Start Page

5830

End Page

5841

Number of Pages

12

ISSN

1053-587X

Location

Piscataway, United States

Publisher

Institute of Electrical and Electronics Engineers Inc.

Language

en-aus

Peer Reviewed

Yes

Open Access

No

Era Eligible

Yes

Journal

IEEE transactions on signal processing.