Abstract
In this paper, a novel scheme using hybrid l1/l2 norm minimization and the orthogonal matching pursuit (OMP) algorithm is proposed to design the sparse finite impulse response (FIR) decision feedback equalizers (DFE) in multiple input multiple output (MIMO) systems. To reduce the number of nonzero taps for the FIR DFE while ensuring its design accuracy, the problem of designing a sparse FIR DFE is transformed into an l0 norm minimization problem, and then the proposed scheme is used to obtain the sparse solution. In the proposed scheme, a sequence of minimum weighted l2 norm problems is solved using the OMP algorithm. The nonzero taps positions can be corrected with the different weights in the diagonal weighting matrix which is computed through the hybrid l1/l2 norm minimization. The simulation results verify that the sparse FIR MIMO DFEs designed by the proposed scheme get a significant reduction in the number of nonzero taps with a small performance loss compared to the non-sparse optimum DFE under the minimum mean square error (MMSE) criterion. In addition, the proposed scheme provides better design accuracy than the OMP algorithm with the same sparsity level.
Highlights
In high-speed wireless communication systems, the multipath effect in channels will cause severe intersymbol interference (ISI)
We aim to reduce the number of nonzero taps for the finite impulse response (FIR) decision feedback equalizers (DFE) while ensuring its design accuracy by applying the orthogonal matching pursuit (OMP) algorithm to hybrid l1 /l2 norm minimization
We propose a scheme using hybrid l1 /l2 norm minimization and OMP algorithm
Summary
In high-speed wireless communication systems, the multipath effect in channels will cause severe intersymbol interference (ISI). The orthogonal frequency division multiplexing (OFDM) system [1,2,3], with the presence of the orthogonal subcarriers and the cyclic prefix, has a strong ability to combat the ISI and generally requires simple equalization. Compared with OFDM, the single-carrier communication has the advantage of low peak-to-average power ratio of the transmitted signal and insensitivity to carrier frequency offsets [4]. The single-carrier communication is widely applied in many communication systems, such as in underwater acoustic communication [5,6,7]. One of the widely used methods to reduce the ISI in single-carrier systems is employing the finite impulse response (FIR) decision feedback equalizers (DFE) with a large number of taps to filter the received signals.
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