References & Citations
Computer Science > Information Theory
Title: Compute-Forward Multiple Access for Gaussian Fast Fading Channels
(Submitted on 30 Apr 2024 (v1), last revised 8 May 2024 (this version, v2))
Abstract: Compute-forward multiple access (CFMA) is a transmission strategy which allows the receiver in a multiple access channel (MAC) to first decode linear combinations of the transmitted signals and then solve for individual messages. Compared to existing MAC strategies such as joint decoding or successive interference cancellation (SIC), CFMA was shown to achieve the MAC capacity region for fixed channels under certain signal-to-noise (SNR) conditions without time-sharing using only single-user decoders. This paper studies the CFMA scheme for a two-user Gaussian fast fading MAC with channel state information only available at the receiver (CSIR). We develop appropriate lattice decoding schemes for the fading MAC and derive the achievable rate pairs for decoding linear combinations of codewords with any integer coefficients. We give a sufficient and necessary condition under which the proposed scheme can achieve the ergodic sum capacity. Furthermore, we investigate the impact of channel statistics on the capacity achievability of the CFMA scheme. In general, the sum capacity is achievable if the channel variance is small compared to the mean value of the channel strengths. Various numerical results are presented to illustrate the theoretical findings.
Submission history
From: Lanwei Zhang [view email][v1] Tue, 30 Apr 2024 11:32:28 GMT (223kb)
[v2] Wed, 8 May 2024 23:46:30 GMT (224kb)
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