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

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.

• Type: Journal
• Year: 2008
• Where: TSP
• Authors: Ha Thai Nguyen, Minh N. Do
• Keywords: Digital System, Hybrid Induced Error, Multichannel Sampling Applications, TSP 2008