Compute-Forward Multiple Access for Gaussian MIMO Channels Article Swipe
Lanwei Zhang
,
Jamie Evans
,
Jingge Zhu
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2409.06110
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2409.06110
Compute-forward multiple access (CFMA) is a multiple access transmission scheme based on Compute-and-Forward (CF) which allows the receiver to first decode linear combinations of the transmitted signals and then solve for individual messages. This paper extends the CFMA scheme to a two-user Gaussian multiple-input multiple-output (MIMO) multiple access channel (MAC). We propose the CFMA serial coding scheme (SCS) and the CFMA parallel coding scheme (PCS) with nested lattice codes. We first derive the expression of the achievable rate pair for MIMO MAC with CFMA-SCS. We prove a general condition under which CFMA-SCS can achieve the sum capacity of the channel. Furthermore, this result is specialized to single-input multiple-output (SIMO) and $2$-by-$2$ diagonal MIMO multiple access channels, for which more explicit sum capacity-achieving conditions on power and channel matrices are derived. We construct an equivalent SIMO model for CFMA-PCS and also derive the achievable rates. Its sum capacity achieving conditions are then analysed. Numerical results are provided for the performance of CFMA-SCS and CFMA-PCS in different channel conditions. In general, CFMA-PCS has better sum capacity achievability with higher coding complexity.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2409.06110
- https://arxiv.org/pdf/2409.06110
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4403592966
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4403592966Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2409.06110Digital Object Identifier
- Title
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Compute-Forward Multiple Access for Gaussian MIMO ChannelsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-09-09Full publication date if available
- Authors
-
Lanwei Zhang, Jamie Evans, Jingge ZhuList of authors in order
- Landing page
-
https://arxiv.org/abs/2409.06110Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2409.06110Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2409.06110Direct OA link when available
- Concepts
-
MIMO, Computer science, Gaussian, Channel (broadcasting), Theoretical computer science, Computer network, Topology (electrical circuits), Mathematics, Physics, Combinatorics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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