This paper derives a saddlepoint approximation for the random-coding bound to the error probability of channel cod- ing by using complex-integration techniques. The approximation is given by a sum of two terms: one with Gallager’s exponent, and a second one with Arimoto’s strong converse exponent (above capacity) or the sphere-packing exponent (below the critical rate).

A complex-integration approach to the saddlepoint approximation for random-coding bounds

DALAI, Marco;
2014-01-01

Abstract

This paper derives a saddlepoint approximation for the random-coding bound to the error probability of channel cod- ing by using complex-integration techniques. The approximation is given by a sum of two terms: one with Gallager’s exponent, and a second one with Arimoto’s strong converse exponent (above capacity) or the sphere-packing exponent (below the critical rate).
2014
978-1-4799-5863-4
978-1-4799-5863-4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/465968
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