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Keywords = Gilbert–Elliott channel

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8 pages, 228 KB  
Article
Rate and Nearly-Lossless State over the Gilbert–Elliott Channel
by Amos Lapidoth and Ligong Wang
Entropy 2025, 27(5), 494; https://doi.org/10.3390/e27050494 - 2 May 2025
Viewed by 381
Abstract
The capacity of the Gilbert–Elliott channel is calculated for a setting in which the state sequence is revealed to the encoder and is, along with the transmitted message, to be conveyed to the receiver with a vanishing symbol error rate. Said capacity does [...] Read more.
The capacity of the Gilbert–Elliott channel is calculated for a setting in which the state sequence is revealed to the encoder and is, along with the transmitted message, to be conveyed to the receiver with a vanishing symbol error rate. Said capacity does not depend on whether the state sequence is provided to the encoder strictly causally, causally, or noncausally. It can be achieved using a Block-Markov coding scheme with backward decoding. Full article
(This article belongs to the Section Information Theory, Probability and Statistics)
15 pages, 3211 KB  
Article
Novel Continuous-Time Markov Chain-Based Model for Performance Analysis of Hybrid Free Space Optics and Radio Frequency Communications
by Vladimir Shakhov, Nikolai Shakhov and Insoo Koo
Appl. Sci. 2025, 15(4), 1935; https://doi.org/10.3390/app15041935 - 13 Feb 2025
Viewed by 1325
Abstract
This paper introduces a Markov-process-based model to analyze the performance of hybrid Free Space Optics and Radio Frequency communication systems. The proposed model captures the dynamic behavior of the link by representing the transitions between various operational states under changing environmental conditions. State [...] Read more.
This paper introduces a Markov-process-based model to analyze the performance of hybrid Free Space Optics and Radio Frequency communication systems. The proposed model captures the dynamic behavior of the link by representing the transitions between various operational states under changing environmental conditions. State probabilities are derived analytically, providing insight into the system’s reliability and efficiency within diverse scenarios. These probabilities can be employed to define and evaluate various performance metrics. This study examines the loss function associated with the suboptimal utilization of Free Space Optics when Radio Frequency is required and vice versa within hybrid Free Space Optics and Radio Frequency communication systems. A problem statement for optimizing system performance is proposed, and the corresponding solution is obtained. The results facilitate the identification of an optimal trade-off between the cost of switching configurations and communication efficiency. The findings provide a quantitative framework for designing adaptive hybrid communication systems that improve reliability and reduce communication disruptions. Full article
(This article belongs to the Special Issue Intelligent IoT Networks and Wireless Communication)
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15 pages, 724 KB  
Article
Performance Improvement of Polar Codes via UEP Product Coding
by Yiting Liang, Huihui Wu, Kui Cai and Lin Wang
Electronics 2022, 11(22), 3721; https://doi.org/10.3390/electronics11223721 - 13 Nov 2022
Viewed by 2053
Abstract
Aiming to improve the error correction performance of polar codes, researchers have proposed employing the product coding structure involving RS codes of different rates in the horizontal direction and the short polar codewords along the vertical direction. However, there is no efficient algorithm [...] Read more.
Aiming to improve the error correction performance of polar codes, researchers have proposed employing the product coding structure involving RS codes of different rates in the horizontal direction and the short polar codewords along the vertical direction. However, there is no efficient algorithm optimizing the rate allocation of RS codes. In order to address this problem, this paper provides an analytical formulation by maximizing the number of correctly decoded information bits. The proposed rate allocation formulation takes the channel statistics into consideration, and we further find that the number of different RS code rates could be limited to a small value. By doing so, the complexities of both the rate allocation optimization and the iterative product decoding could be reduced. Simulation results demonstrate the superiority of RS-polar product codes with the proposed rate allocation method over both additive white Gaussian noise channels and Gilbert–Elliott channels. When the inner polar codes of rate 1/2 are utilized, the optimized RS-polar product codes of low-to-medium rates significantly outperform the successive cancellation decoding of long polar codes, in the regime of a frame error rate 103. Full article
(This article belongs to the Special Issue Multirate and Multicarrier Communication)
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