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

• Published in: Signal processing Vol. 91; no. 7; pp. 1651 - 1658
• Main Authors: Zhang, Hui, Shi, Yang, Saadat Mehr, Aryan, Huang, Haining
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.07.2011; Elsevier
• Subjects: Applied sciences; Channels; Design engineering; Detection, estimation, filtering, equalization, prediction; Energy-to-peak gain; Equalization; Equalizers; Exact sciences and technology; Finite impulse response (FIR) equalization; Impulse response; Information, signal and communications theory; Intermittent observations; Linear matrix inequalities (LMIs); Mathematical analysis; Mathematical models; Miscellaneous; Optimization; Robust filtering; Signal and communications theory; Signal processing; Signal, noise; Stochasticity; Telecommunications and information theory; Time-varying systems; Intermittent observations; Robust filtering; Energy-to-peak gain; Linear matrix inequalities (LMIs); Finite impulse response (FIR) equalization; Time-varying systems; Performance evaluation; Polytope; Parameter estimation; Robust estimation; Equalizer; Modeling; Time variation; Optimal design; Time varying system; Digital filter; Channel estimation; Linear matrix inequality; Time variable channel; Transmission channel; Equalization; Deconvolution; Sufficient condition; Signal processing; Finite impulse response filter
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2011.01.011

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.