Hassibi, Babak and Marzetta, Thomas L. (2001) Multiple-antennas and isotropically-random unitary inputs: the received signal density in closed-form. In: Proceedings. 2001 IEEE International Symposium on Information Theory. IEEE , Piscataway, NJ, p. 341. ISBN 0780371232. https://resolver.caltech.edu/CaltechAUTHORS:20190308-135958724
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Abstract
Computing the capacity of a multiple antenna wireless link subject to flat Rayleigh block-fading, with no channel-state information available either to the transmitter or to the receiver, is an important open problem. The isotropically-random (i.r.) unitary matrix-having orthonormal columns, and a probability density that is invariant to pre-multiplication by an independent unitary matrix-plays a central role in the calculation of capacity and in some special cases is capacity-achieving. We take an important step towards computing this capacity by obtaining, in closed-form, the probability density of the received signal when transmitting i.r. unitary matrices. This enables us to evaluate the mutual information for any case of interest, something that could previously only be done for single transmit and receive antennas. Simulation results show that at high SNR the mutual information is maximized for M=min(N, T/2) transmit antennas, where N is the number of receive antennas and T is the length of the coherence interval, whereas at low SNR the mutual information is maximized by allocating all transmit power to a single antenna.
Item Type: | Book Section | ||||||
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Additional Information: | © 2001 IEEE. | ||||||
DOI: | 10.1109/isit.2001.936204 | ||||||
Record Number: | CaltechAUTHORS:20190308-135958724 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190308-135958724 | ||||||
Official Citation: | B. Hassibi and T. L. Marzetta, "Multiple-antennas and isotropically-random unitary inputs: the received signal density in closed-form," Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252), Washington, DC, USA, 2001, pp. 341-. doi: 10.1109/ISIT.2001.936204 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 93665 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | George Porter | ||||||
Deposited On: | 08 Mar 2019 22:09 | ||||||
Last Modified: | 16 Nov 2021 16:59 |
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