Design and Analysis of Sparsifying Dictionaries for FIR MIMO Equalizers
Author | Al-Abbasi, Abubakr O. |
Author | Hamila, Ridha |
Author | Bajwa, Waheed U. |
Author | Al-Dhahir, Naofal |
Available date | 2020-11-04T10:00:41Z |
Publication Date | 2017 |
Publication Name | IEEE Transactions on Wireless Communications |
Resource | Scopus |
Abstract | In this paper, we propose a general framework that transforms the problems of designing sparse finite-impulse-response linear equalizers and nonlinear decision-feedback equalizers, for multiple antenna systems, into the problem of sparsest approximation of a vector in different dictionaries. In addition, we investigate several choices of the sparsifying dictionaries under this framework. Furthermore, the worst case coherences of these dictionaries, which determine their sparsifying effectiveness, are analytically and/or numerically evaluated. Moreover, we show how to reduce the computational complexity of the designed sparse equalizer filters by exploiting the asymptotic equivalence of Toeplitz and circulant matrices. Finally, the superiority of our proposed framework over conventional methods is demonstrated through numerical experiments. |
Sponsor | This work was supported by the Qatar National Research Fund (a member of Qatar Foundation) under Grant NPRP 06-070-2-024. |
Language | en |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Subject | Decision-feedback equalizers linear equalizers MIMO sparse approximation worst case coherence |
Type | Article |
Pagination | 2576-2586 |
Issue Number | 4 |
Volume Number | 16 |
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Electrical Engineering [2611 items ]