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Efficient computation of frame bounds using LMI-based optimization

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journal contribution
posted on 06.12.2017, 00:00 by Li Chai, J Zhang, C Zhang, E Mosca
This correspondence presents a simple and effective method for computing the optimal frame bounds of oversampled perfect reconstruction (PR) filter banks (FBs). It first shows that computation of the optimal frame bounds for complex-valued oversampled PR FBs can be formulated as a convex optimization subject to complex-valued linear matrix inequality (LMI) constraints and solved by effective interior-point algorithms. It then deals with discrete-time Weyl-Heisenberg (WH) frames to compute bounds on the WH frames by real-valued LMI optimization. The WH frames are closely related to modulated FBs and have complex coefficients. Four examples are given to illustrate the generality and effectiveness of the proposed method.

Funding

Category 2 - Other Public Sector Grants Category

History

Volume

56

Issue

7

Start Page

3029

End Page

3033

Number of Pages

5

ISSN

1053-587X

Location

Piscataway, United States

Publisher

Institute of Electrical and Electronics Engineers Inc

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Monash University; Nanyang Technological University; Not affiliated to a Research Institute; Universityá di Firenze, Italy; Wuhan ke ji da xue;

Era Eligible

Yes

Journal

IEEE transactions on signal processing.