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Some Generalizations of the Capacity Theorem for AWGN Channels

Information Theory 2009-01-29 v1 math.IT

Abstract

The channel capacity theorem for additive white Gaussian noise channel (AWGN), widely known as the Shannon-Hartley Law, expresses the information capacity of a channel bandlimited in the conventional Fourier domain in terms of the signal-to-noise ratio in it. In this letter generalized versions of the Shannon-Hartley Law using the linear canonical transform (LCT) are presented. The channel capacity for AWGN channels is found to be a function of the LCT parameters.

Keywords

Cite

@article{arxiv.0901.4420,
  title  = {Some Generalizations of the Capacity Theorem for AWGN Channels},
  author = {Kamalesh Kumar Sharma},
  journal= {arXiv preprint arXiv:0901.4420},
  year   = {2009}
}
R2 v1 2026-06-21T12:05:27.254Z