Augustin Information Measures on Fading Channels Under Certain Symmetry Hypothesis

2022-01-01
Yildiz, Mücahit Furkan
Nakiboğlu, Barış
On the fast-fading discrete memoryless channels (DMCs) with channel state information at the receiver a necessary and sufficient condition is determined for the tilted channel associated with an input distribution to be the product of a tilted channel state distribution and the tilted channel associated with the same input distribution on the non-fading DMC for the given channel state. On fading channels for which constituent channels associated with different channel states share a common Augustin capacity-achieving input distribution aforementioned necessary and sufficient condition is shown to hold, and a parametric form for the sphere packing exponent (SPE) is obtained in terms of the tilted channel state distribution and the tilted channel of the nonfading DMC for the given channel state. The SPE of fast-fading binary erasure and binary symmetric channels with channel state information at the receiver are analyzed as examples.
2022 IEEE International Symposium on Information Theory, ISIT 2022

Suggestions

A decomposition for the tilted channel of the fast fading channels
Yıldız, Mücahit Furkan; Nakiboğlu, Barış; Department of Electrical and Electronics Engineering (2022-9)
A decomposition property for the tilted channel of the fast fading channels with the channel state information at the receiver is proposed. A necessary and sufficient condition for the decomposition and the resulting expressions for the sphere packing exponent and the random coding exponent are determined. These expressions are used to calculate the error exponents for the discrete memoryless channels with certain symmetries. The existence of a similar decomposition property for Gaussian channels under Gaus...
A simplified MAP channel estimator for OFDM systems under Rayleigh fading
ÇÜRÜK, SELVA; Tanık, Yalçın (2010-06-01)
This paper presents a simplified Maximum A Posteriori (SMAP) channel estimator to be used in orthogonal frequency division multiplexing (OFDM) systems under the Rayleigh fading assumption for the subchannels, using a parametric correlation model and assuming that the channel is frequency selective and slowly time varying. Expressions for the mean-square error (MSE) of estimations are derived to evaluate the performance of the estimator. The relation between the correlation of subchannels taps and error vari...
On Channel Output Feedback in Deterministic Interference Channels
Sahai, Achaleshwar; Aggarwal, Vaneet; Yüksel Turgut, Ayşe Melda; Sabharwal, Ashutosh (2009-01-01)
In this paper, we study the effect of channel output feedback on the sum capacity in a two-user symmetric deterministic interference channel. We find that having a single feedback link from one of the receivers to its own transmitter results in the same sum capacity as having a total of 4 feedback links from both the receivers to both the transmitters. Hence, from the sum capacity point of view, the three additional feedback links are not helpful. We also consider a half-duplex feedback model, where the for...
The relay channel with a wire-tapper
Yüksel Turgut, Ayşe Melda; Erkip, Elza (2007-01-01)
In this work a relay channel with a wire-tapper is studied for both discrete memoryless and Gaussian channels. The wire-tapper receives a physically degraded version of the destination's signal. We find inner and outer bounds for the capacity-equivocation rate region. We also argue that when the destination receives a physically degraded version of the relay's signal, inner and outer bounds meet for some special cases.
The Sphere Packing Bound for DSPCs with Feedback à la Augustin
Nakiboğlu, Barış (Institute of Electrical and Electronics Engineers (IEEE), 2019-11-01)
Establishing the sphere packing bound for block codes on the discrete stationary product channels with feedback—which are commonly called the discrete memoryless channels with feedback—was considered to be an open problem until recently, notwithstanding the proof sketch provided by Augustin in 1978. A complete proof following Augustin’s proof sketch is presented to demonstrate its adequacy and to draw attention to two novel ideas that it employs. These novel ideas (i.e., the Augustin’s averaging and the use...
Citation Formats
M. F. Yildiz and B. Nakiboğlu, “Augustin Information Measures on Fading Channels Under Certain Symmetry Hypothesis,” Espoo, Finlandiya, 2022, vol. 2022-June, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85136270317&origin=inward.