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Robust FIR equalization for time-varying communication channels with intermittent observations via an LMI approach |
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| Authors: | Hui ZhangYang Shi Aryan Saadat MehrHaining Huang |
| Affiliation: | a Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, BC, Canada V8W 3P6 b Department of Electrical and Computer Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, SK, Canada S7N 5A9 c Institute of Acoustics, Chinese Academy of Sciences, Beijing, China |
| 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. |
| Keywords: | Robust filtering Finite impulse response (FIR) equalization Time-varying systems Energy-to-peak gain Intermittent observations Linear matrix inequalities (LMIs) |
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