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Hybrid Filter Banks With Fractional Delays: Minimax Design and Application to Multichannel Sampling

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2 Author(s)
Ha Thai Nguyen ; Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL ; Do, M.N.

This paper is motivated by multichannel sampling applications. We consider a hybrid filter banks consisting of a set of fractional delays operators, slow A/D converters with different antialiasing filters, digital expanders, and digital synthesis filters (to be designed). The synthesis filters are designed to minimize the maximum gain of a hybrid induced error system. We show that the induced error system is equivalent to a digital system. This digital system enables the design of stable synthesis filters using existing control theory tools such as model-matching and linear matrix inequalities. Moreover, the induced error is robust against delay estimate errors. Numerical experiments show the proposed approach yields better performance compared to existing techniques.

Published in:

Signal Processing, IEEE Transactions on  (Volume:56 ,  Issue: 7 )