NDLI: Capacity-achieving signals of non-coherent rayleigh fading channels with additive gaussian mixture noise

Content Provider	IEEE Xplore Digital Library
Author	Duc-Anh Le Vu, H.V. Tran, N.H. Hang Dinh Karacolak, T.
Copyright Year	2015
Description	Author affiliation: Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada (Vu, H.V.) \|\| Dept. of Electr. & Comput. Eng., Univ. of Akron, Akron, OH, USA (Duc-Anh Le; Tran, N.H.) \|\| Dept. of Comput. & Inf. Sci., Indiana Univ. South Bend, South Bend, IN, USA (Hang Dinh) \|\| Sch. of Eng. & Comput. Sci., Washington State Univ. Vancouver, Vancouver, WA, USA (Karacolak, T.)
Abstract	This paper investigates the detailed characterization of the capacity-achieving input signals for a non-coherent Rayleigh fading channel with Gaussian mixture noise where neither the transmitter nor the receiver has the knowledge of fading coefficients. The considered model is suited for wireless networks having multi-tier heterogeneous architectures in which the channel conditions change rapidly. By first establishing an integrable upper bound on the absolute function of the integrand in the output entropy equation, we demonstrate that there exists a unique input distribution that achieves the channel capacity. By formulating the Kuhn-Tucker condition (KTC), we then examine in detail the number of mass points in the optimal input distribution. Specifically, by establishing a diverging lower bound on the KTC, we show that it is not possible for the optimal input distribution to have an infinite number of mass points. As a result, the capacity-achieving input distribution is discrete having a finite number of mass points. Finally, we develop a simple numerical method to evaluate the optimal input and compute the capacity.
Starting Page	229
Ending Page	234
File Size	815309
Page Count	6
File Format	PDF
e-ISBN	9781467365475
DOI	10.1109/ComManTel.2015.7394293
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-28
Publisher Place	Vietnam
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fading channels Wireless communication Additives Channel capacity Aggregates Interference Entropy Channel Capacity; Gaussian Mixture Noise;Information Rate; Non-Coherent Rayleigh fading; Optimal InputDistributions.
Content Type	Text
Resource Type	Article

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