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

作者:Al Abbasi Abubakr O*; Hamila Ridha; Bajwa Waheed U; Al Dhahir Naofal
来源:IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2015-12-13 to 2015-12-16.

摘要

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.

  • 出版日期2015