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Content Provider | IEEE Xplore Digital Library |
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Author | Wiesel, A. Eldar, Y.C. Shamai, S. |
Copyright Year | 1991 |
Abstract | We consider the problem of linear zero-forcing precoding design and discuss its relation to the theory of generalized inverses in linear algebra. Special attention is given to a specific generalized inverse known as the pseudo-inverse. We begin with the standard design under the assumption of a total power constraint and prove that precoders based on the pseudo-inverse are optimal among the generalized inverses in this setting. Then, we proceed to examine individual per-antenna power constraints. In this case, the pseudo-inverse is not necessarily the optimal inverse. In fact, finding the optimal matrix is nontrivial and depends on the specific performance measure. We address two common criteria, fairness and throughput, and show that the optimal generalized inverses may be found using standard convex optimization methods. We demonstrate the improved performance offered by our approach using computer simulations. |
Sponsorship | IEEE Signal Processing Society |
Starting Page | 4409 |
Ending Page | 4418 |
Page Count | 10 |
File Size | 492689 |
File Format | |
ISSN | 1053587X |
Volume Number | 56 |
Issue Number | 9 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2008-01-01 |
Publisher Place | U.S.A. |
Access Restriction | One Nation One Subscription (ONOS) |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Transmitters Array signal processing Throughput Broadcasting Signal processing algorithms MIMO Ambient intelligence Linear algebra Optimization methods Computer simulation zero-forcing precoding Beamforming generalized inverses per-antenna constraints semidefinite relaxation |
Content Type | Text |
Resource Type | Article |
Subject | Signal Processing Electrical and Electronic Engineering |
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