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Diversity order vs rate in an AWGN channel

Gorantla, Anusha and Sharma, Vinod (2012) Diversity order vs rate in an AWGN channel. In: 2012 National Conference on Communications (NCC), 3-5 Feb. 2012, Kharagpur.

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Official URL: http://dx.doi.org/10.1109/NCC.2012.6176886


We study the diversity order vs rate of an additive white Gaussian noise (AWGN) channel in the whole capacity region. We show that for discrete input as well as for continuous input, Gallager's upper bounds on error probability have exponential diversity in low and high rate region but only subexponential in the mid-rate region. For the best available lower bounds and for the practical codes one observes exponential diversity throughout the capacity region. However we also show that performance of practical codes is close to Gallager's upper bounds and the mid-rate subexponential diversity has a bearing on the performance of the practical codes. Finally we show that the upper bounds with Gaussian input provide good approximation throughout the capacity region even for finite constellation.

Item Type: Conference Paper
Publication: 2012 National Conference on Communications (NCC)
Publisher: IEEE
Additional Information: Copyright of this article belongs to IEEE.
Keywords: AWGN Channel; Error Exponents; Diversity Order; Gallager’s Upper Bounds; Exponential Diversity; Subex-Ponential Diversity
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 22 Jan 2014 08:26
Last Modified: 22 Jan 2014 08:33
URI: http://eprints.iisc.ac.in/id/eprint/48239

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