A general framework for the design and analysis of sparse FIR linear equalizers
Author | Al-Abbasi, Abubakr O. |
Author | Hamila, Ridha |
Author | Bajwa, Waheed U. |
Author | Al-Dhahir, Naofal |
Available date | 2021-04-22T10:16:24Z |
Publication Date | 2016 |
Publication Name | Global Conference on Signal and Information Processing, GlobalSIP 2015 |
Resource | Scopus |
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. |
Language | en |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Subject | FIR filters Impulse response Information science Mathematical transformations Mean square error Problem solving Design and analysis Finite-impulse response Linear equalizer Minimum mean square errors (MMSE) Numerical experiments Worst-case coherences Zero-forcing Equalizers |
Type | Conference Paper |
Pagination | 834-838 |
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Electrical Engineering [2611 items ]