STNB 2013 (27è Any)

Fuchsian Codes for AWGN Channels

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Iván Blanco Chacón

Resum

We develop a new transmission scheme for additive white Gaussian noise (AWGN) single-input multiple-output (SIMO) channels without fading based on the group of units of reduced norm 1 in a maximal order of an indefinite quaternion Q-algebra. The properly discontinuous character of the action of this arithmetic Fuchsian group on the upper half-plane translates in fast decodability.

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