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arXiv · 1511.06971

A General Framework for the Design and Analysis of Sparse FIR Linear Equalizers

Abubakr O. Al-Abbasi·Ridha Hamila·Waheed U. Bajwa·Naofal Al-Dhahir
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Abstract

Complexity of linear finite-impulse-response (FIR) equalizers is proportional to the square of the number of nonzero taps in the filter. This makes equalization of channels with long impulse responses using either zero-forcing or minimum mean square error (MMSE) filters computationally expensive. Sparse equalization is a widely-used technique to solve this problem. In this paper, a general framework is provided that transforms the problem of sparse linear equalizers (LEs) design into the problem of sparsest-approximation of a vector in different dictionaries. In addition, some possible choices of sparsifying dictionaries in this framework are discussed. Furthermore, the worst-case coherence of some of these dictionaries, which determines their sparsifying strength, are analytically and/or numerically evaluated. Finally, the usefulness of the proposed framework for the design of sparse FIR LEs is validated through numerical experiments.

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Abubakr O. Al-Abbasi, Ridha Hamila, Waheed U. Bajwa, Naofal Al-Dhahir. 2015-11-22. A General Framework for the Design and Analysis of Sparse FIR Linear Equalizers. https://doi.org/10.1109/globalsip.2015.7418314

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