Robust FIR equalization for time-varying communication channels with intermittent observations via an LMI approach

Authors:
Hui Zhang;Yang Shi;Aryan Saadat Mehr;Haining Huang
Affiliations:
Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, BC, Canada V8W 3P6;Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, BC, Canada V8W 3P6;Department of Electrical and Computer Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, SK, Canada S7N 5A9;Institute of Acoustics, Chinese Academy of Sciences, Beijing, China
Venue:
Signal Processing
Year:
2011

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Abstract

The optimal design of finite impulse response (FIR) filters for equalization/deconvolution is investigated in this paper. Two practical yet challenging constraints are incorporated into the modeling of the equalization system: (1) The parameters of the communication channel model are arbitrarily time-varying within a polytope with finite known vertices; (2) at the received end, the received signal is usually intermittent due to network-induced packet dropouts which are modeled by a stochastic Bernoulli distribution. Under the stochastic theory framework, a robust design method for the FIR equalizer is proposed such that the equalization system can achieve the prescribed energy-to-peak performance even it is subject to uncertainties, external noise, and data missing. Sufficient conditions for the existence of the equalizer are derived by a set of linear matrix inequalities (LMIs). An illustrative design example demonstrates the design procedure and the effectiveness of the proposed method.