Fuchsian codes for AWGN channels

Published 27 Jul 2013 in cs.IT and math.IT | (1307.7252v2)

Abstract: We develop a new transmission scheme for additive white Gaussian noisy (AWGN) single-input single-output (SISO) channels without fading based on arithmetic Fuchsian groups. The properly discontinuous character of the action of these groups on the upper half-plane translates into logarithmic decoding complexity.

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