Publication: Capacity per Unit-Energy of Gaussian Many-Access Channels
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2019-07-07
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IEEE
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Abstract
We consider a Gaussian multiple-access channel where the number of transmitters grows with the blocklength n. For this setup, the maximum number of bits that can be transmitted reliably per unit-energy is analyzed. We show that if the number of users is of an order strictly above n/log n, then the users cannot achieve any positive rate per unit-energy. In contrast, if the number of users is of order strictly below n/log n, then each user can achieve the single-user capacity per unit-energy (log e)/N 0 (where N 0 /2 is the noise power) by using an orthogonal access scheme such as time division multiple access. We further demonstrate that orthogonal codebooks, which achieve the capacity per unit-energy when the number of users is bounded, can be strictly suboptimal.
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Proceeding of: 2019 IEEE International Symposium on Information Theory (ISIT), 7-12 July 2019, Paris, France
Keywords
Manganese, Decoding, Encoding, Reliability, Transmitters, Europe, Channel models
Bibliographic citation
2019 IEEE International Symposium on Information Theory (ISIT), 7-12 July 2019, Paris, France. 5 pp.