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Efficient computation of frame bounds using LMI-based optimization
journal contribution
posted on 2017-12-06, 00:00 authored by Li ChaiLi Chai, J Zhang, C Zhang, E MoscaThis 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
56Issue
7Start Page
3029End Page
3033Number of Pages
5ISSN
1053-587XLocation
Piscataway, United StatesPublisher
Institute of Electrical and Electronics Engineers IncPublisher DOI
Full Text URL
Language
en-ausPeer 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