Abstract

In this paper, we propose a free deterministic equivalent for the capacity analysis of multi-input multi-output (MIMO) multiple access channel (MAC) with distributed antenna sets. In the analysis, we use the operator-valued free probability framework, which is much more straightforward than the widely used methods, i.e., the Bai and Silverstein method and the Gaussian method. By replacing independent random Gaussian variables with freely independent circular entries, we obtain the free deterministic equivalent of our channel model. To evaluate the capacity, we use the Shannon transform of the free deterministic equivalent to approximate that of the channel model. The free deterministic equivalent results are easy to compute, and simulation results show that these approximations are numerically accurate and computationally efficient.

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

deterministic equivalent; MAC; MIMO; Operator-valued free probability

International Standard Book Number (ISBN)

978-146736432-4

International Standard Serial Number (ISSN)

1550-3607

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.

Publication Date

09 Sep 2015

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