Hybrid filter banks with fractional delays: Minimax design and application to multichannel sampling

Ha Thai Nguyen, Minh N. Do

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)3180-3190
Number of pages11
JournalIEEE Transactions on Signal Processing
Volume56
Issue number7 II
DOIs
StatePublished - Jul 2008

Keywords

  • Filter design
  • Fractional delay
  • H optimization
  • Hybrid filter banks
  • Linear matrix inequality
  • Model-matching
  • Multichannel sampling
  • Polyphase
  • Sampled-data control

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

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