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All-pass digital system design using second-order cone programming

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1 Author(s)
Tian-Bo Deng ; Department of Information Science, Faculty of Science, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, Japan

In this paper, we propose a new approach for designing an all-pass (AP) digital filter that approximates a given ideal phase response in the minimax error sense. Originally, such a design problem is highly non-linear and difficult to solve. This paper formulates the non-linear problem as a second-order-cone programming (SOCP) problem and then solves the design problem using any SOCP-solver (software). After the SOCP-based design is formulated, the AP filter coefficients can be easily found through solving the SOCP problem. As compared with the existing linear programming (LP) design, the SOCP-based design method achieves more accurate fitting. A design example is given for illustrating the performance improvement of the SOCP-based design approach.

Published in:

Open Systems (ICOS), 2012 IEEE Conference on

Date of Conference:

21-24 Oct. 2012