Linear phase filter bank design using LMI-based H∞ optimization

Min Li

doi:10.1109/TCSII.2003.810490

Linear phase filter bank design using LMI-based H∞ optimization

2003-03-01

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李民 (Min Li)

C

Chi‐Wah Kok

DOI：10.1109/TCSII.2003.810490

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Abstract

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This paper is concerned with the design of nearly linear phase two-channel filter banks. Exactly linear phase finite-impulse response or nearly linear phase infinite-impulse response (IIR) filters are employed in analysis filter banks, and nearly linear phase IIR synthesis filter banks are designed such that the overall filter banks are also nearly linear phase. The filter bank design problem is formulated as a H-infinity norm minimization of the difference between the pure delay and the products of some polyphase components. The H-infinity norm optimizing problem is converted to a series of linear matrix inequalities (LMIs) and solved using semidefinite programming. The magnitude, phase and aliasing distortions are all incorporated in the design procedure.

Keywords:

infinite-impulse response (IIR) filter banks

linear phase filter banks

multirate filter banks

near linear phase

quadrature mirror filter (QMF)

two-channel filter banks

Linear phase filter bank design using LMI-based H∞ optimization

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