{ "id": "0901.4420", "version": "v1", "published": "2009-01-28T09:24:32.000Z", "updated": "2009-01-28T09:24:32.000Z", "title": "Some Generalizations of the Capacity Theorem for AWGN Channels", "authors": [ "Kamalesh Kumar Sharma" ], "categories": [ "cs.IT", "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.", "revisions": [ { "version": "v1", "updated": "2009-01-28T09:24:32.000Z" } ], "analyses": { "keywords": [ "awgn channels", "additive white gaussian noise channel", "generalizations", "shannon-hartley law", "channel capacity theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }