In this paper, we investigate the impact of cyclic One-Step Majority-Logic Decodable (osmld) Product codes, when decoded with the Iterative Threshold decoding algorithm, proposed by [2]. We propose to evaluate Hybrid ...
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ISBN:
(纸本)9781665403061
In this paper, we investigate the impact of cyclic One-Step Majority-Logic Decodable (osmld) Product codes, when decoded with the Iterative Threshold decoding algorithm, proposed by [2]. We propose to evaluate Hybrid Automatic Repeat Request (HARQ) Protocols using these attractive codes. The idea behind this study is to prove the attracting ARQ/FEC scheme offered by the proposed codes, and to show that we can reach a good trade-off between error rates, the average throughput and complexity. Numerical results shows that the proposed scheme may be interesting to compete many concatenated schemes applied to HARQ protocols.
In this paper, the performance analysis of simultaneous wireless information and power transfer (SWIPT) using time switching (TS) protocol-based amplify-and-forward (AF) dual-hop mixed radio-frequency/free-space optic...
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In this paper, the performance analysis of simultaneous wireless information and power transfer (SWIPT) using time switching (TS) protocol-based amplify-and-forward (AF) dual-hop mixed radio-frequency/free-space optic (RF/FSO) coded and uncoded communication system (CC and UC) is investigated. Specifically, we look at using the One-Step Majority-Logic Decodable (osmld) codes at the source and a majority logic decoding algorithm (MLGD) at the destination, jointly with the use of maximal-ratio combining and SWIPT/TS techniques at the relay. Furthermore, the RF link undergoes Nakagami-m model, while the second-hop is subject to Maalaga-M atmospheric turbulence with the effect of pointing errors. Closed-form and asymptotic formulations for the average bit error probability (ABEP) are obtained in terms of the system parameters for both CC and UC scenarios in addition of the average channel capacity analysis. Computer-based Monte Carlo simulations were used to numerically validate all of the obtained mathematical formulations. Expectedly, it is shown that significant coding gains are achieved using osmld codes in comparison with UC. In addition, above a specific threshold of energy efficiency, the system performance gets steady in the high signal-to-noise-ratio regime. Moreover, the decoding method used in this work has been shown to be suitable for the SWIPT/TS-assisted RF/FSO coded AF cooperative communication system where high performance alongside low computational complexity are required.
In [6], a construction of cyclic one-step majoritylogic decodable codes based on idempotent polynomials is given. However, the search for the feasible Parity-Check Idempotent runs through all possible combinations of ...
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ISBN:
(纸本)9781467382243
In [6], a construction of cyclic one-step majoritylogic decodable codes based on idempotent polynomials is given. However, the search for the feasible Parity-Check Idempotent runs through all possible combinations of cyclotomic cosets modulo n, satisfying some algebraic constraints, consequently, increasing the code length may result in very large dimension space search, and the search for the solution becomes more difficult. In this paper, we propose a Genetic Algorithm that aimes to construct new moderate and high lengths Binary Cyclic osmld codes, considered as LDPC codes, with high correction capacities. Our construction is very efficient and provide codes with high lenghts and high rates.
This paper investigates the construction and iterative threshold decoding of low rate Quasi-Cyclic One Step Majority logic codes based on combinatorial designs. These codes are constructed with two type of difference ...
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ISBN:
(纸本)9781509062270
This paper investigates the construction and iterative threshold decoding of low rate Quasi-Cyclic One Step Majority logic codes based on combinatorial designs. These codes are constructed with two type of difference family: cyclic disjoint difference sets and cyclic disjoint difference family. They can be encoded with low complexity, and perform very well when decoded with the Iterative threshold decoding (ITD) algorithm. We present an amelioration of ITD algorithm for decoding these codes. This algorithm modification can be applicable for every code rate. The performances of this algorithm for decoding these codes on Additive White Gaussian Noise (AWGN) channel, is investigated.
This paper presents a new class of Quasi-Cyclic One Step Majority logic codes of 1/2 rate constructed from perfect difference set. Theses codes can be encoded with low complexity, and perform very well when decoded wi...
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ISBN:
(纸本)9781467387125
This paper presents a new class of Quasi-Cyclic One Step Majority logic codes of 1/2 rate constructed from perfect difference set. Theses codes can be encoded with low complexity, and perform very well when decoded with the Iterative threshold decoding algorithm. Much of these codes is a subfamily of the LDPC codes and can be decoded using belief propagation algorithm. A comparison between our results and those for LDPC code in terms of BER performance are presented.
In this paper, the construction of non binary cyclic One-Step Majority-Logic decoding codes from the dual domain and idempotents is investigated. This had led us to propose a new design algorithm based on Genetic Algo...
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ISBN:
(纸本)9781509062270
In this paper, the construction of non binary cyclic One-Step Majority-Logic decoding codes from the dual domain and idempotents is investigated. This had led us to propose a new design algorithm based on Genetic Algorithms, as an extension to previous works on the binary field. With the proposed algorithm, we were able to obtain long new non-binary cyclic osmld codes with high coding rates and good correction capacities. In fact, two powerful properties of the algebraic construction are provided, firstly, the designed codes have their minimal distances and dimensions calculated analyticaly, secondly, they can be decoded with a low-complexity majority-voting decoding scheme.
In this paper, a new low-complexity gradient-descent based iterative majority-logic decoder (GD-MLGD) is proposed for decoding One-Step Majority-Logic Decodable (osmld) codes. We give a formulation of the decoding pro...
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In this paper, a new low-complexity gradient-descent based iterative majority-logic decoder (GD-MLGD) is proposed for decoding One-Step Majority-Logic Decodable (osmld) codes. We give a formulation of the decoding problem of binary osmld codes, as a maximization problem of a derivable objective function. The optimization problem is solved using a pseudo gradient-descent algorithm, which performs iteratively an update towards the optimal estimated codeword been transmitted, based on the first-order partial derivatives of each variable calculated in the previous iteration. The proposed decoding scheme achieves a fast convergence to an optimum codeword compared to other decoding techniques reviewed in this paper, at the cost of lower computational complexity. The quantized version (QGD-MLGD) is also proposed in order to further reduce the computational complexity. Simulation results show that the proposed decoding algorithms outperform all the existing majority-logic decoding schemes, and also various gradient-descent based bit-flipping algorithms, and performs nearly close to the belief propagation sum-product (BP-SP) decoding algorithm of LDPC codes, especially for high code lengths, providing an efficient trade-off between performance and decoding complexity. Moreover, the proposed quantized algorithm has shown to perform better than all the existing decoding techniques. The proposed decoding algorithms have shown to be suitable for ultra reliable, low latency and energy-constrained communication systems where both high performances and low-complexity are required. (C) 2020 Elsevier B.V. All rights reserved.
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