期刊
IEEE SIGNAL PROCESSING LETTERS
卷 28, 期 -, 页码 2097-2101出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2021.3117510
关键词
Edge computing; Algebra; Wireless communication; Noise measurement; Internet of Things; Encoding; AWGN channels; Edge computing; group and representation theory; Internet of Things; wireless communications
资金
- National Research Foundation of Korea (NRF) - Korea government (MSIT) [NRF-2021R1A2C2003230]
By leveraging group theory, this study proposes a distributed matrix multiplication scheme using the cyclic group and identifies the condition for perfect reconstruction. The proposed scheme demonstrates better error performance in a noisy channel compared to the uncoded scheme due to its diversity gain.
Leveraging the idea of group theory, we explore the distributed matrix multiplication problem posed in on-device edge computing. We first revisit how to embed matrix multiplication into group structure and then propose a distributed matrix multiplication scheme using the cyclic group. We identify the condition for the perfect reconstruction with the proposed scheme, and exhibit that the proposed scheme has better error performance than the uncoded scheme in a noisy channel owing to the diversity gain of the proposed scheme.
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