Estimation-Based Synthesis of Hm-Optimal Adaptive Equalizers over Wireless Channels

This paper presents a systematic synthesis procedure for H,-optimal adaptive FIR equalizers over a timevarying wireless channel. The channel is assumed to be frequency selective with Rayleigh fading. The proposed equalizer structure consists of the series connection of an adaptive FIR filter and a fixed equalizer (designed for the nominal channel). Adaptation of the weight vector of the adaptive FIR filter is achieved using the &,-optimal solution of an estimation-based interpretation of the channel equalization problem. Due to its H,-optimality, the proposed solution is robust to exogenous disturbances, and enables fast adaptation (i.e., a short training period) without compromising steady-state performance of the equalization. Preliminary simulation are presented to support the above claims.