Hybrid optimisation method of sparse FIR DFEs based on reweighted ℓ ₁ ‐norm minimisation and greedy algorithms

Abstract

The finite-impulse-response (FIR) decision feedback equalisers (DFEs) with a large number of taps are used to eliminate the intersymbol interference. In this Letter, a hybrid optimisation approach based on reweighted ℓ 1-norm minimisation and the greedy algorithm is proposed to get a better estimation of the non-zero taps. First, the authors transform the problem of designing sparse FIR multipleinput multiple-output DFEs into an ℓ 0-norm minimisation problem, then use the proposed approach, which involves two stages as the preliminary selection of non-zero tap positions and re-optimisation with non-zero taps, to determine the positions and values of the non-zero taps for the FIR DFEs. The simulation results demonstrate the effectiveness of the proposed hybrid optimisation approach.