Fuchsian codes for AWGN channels

Camilla Hollanti; Dion\'is Rem\'on; Iv\'an Blanco-Chac\'on; Montserrat Alsina

arxiv: 1307.7252 · v2 · pith:XJBXZMWMnew · submitted 2013-07-27 · 💻 cs.IT · math.IT

Fuchsian codes for AWGN channels

Iv\'an Blanco-Chac\'on , Dion\'is Rem\'on , Camilla Hollanti , Montserrat Alsina This is my paper

classification 💻 cs.IT math.IT

keywords awgnchannelsfuchsiangroupsactionadditivearithmeticcharacter

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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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Fuchsian codes for AWGN channels

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