Mathematical Approach and Implementation of Frequency Mapping Techniques in Power-Line Communications Channel

IF 0.3 Q4 MATHEMATICS

Communications in Applied and Industrial Mathematics Pub Date : 2019-01-01 DOI:10.2478/caim-2019-0015

T. Lukusa, K. Ouahada, H. C. Ferreira

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引用次数: 1

Abstract

Abstract Power-line channel is considered to be a very hostile channel compared to other channels in view of the different types of noise that could exist. Therefore, the choice of the error correcting code and the modulation scheme can play a big role in combating the noise in such a channel. M -FSK modulation has shown its robustness for such a type of channel. Two frequency mappings techniques are presented in this paper. In the first technique, M orthogonal frequencies are arranged in sequences based on the value and the position of permutation symbols, while in the second technique, the frequencies are rearranged based on the sign changes of the Walsh-Hadamard transform (WHT). The obtained M-FSK modulation is combined to codes based on Viterbi decoding algorithms since Viterbi decoder is considered to be the maximum-likelihood decoding algorithm for convolutional codes and codes with state machine representation. A mathematical approach and implementation of frequency mappings is introduced to investigate the performance of the new designed communication system in the presence of permanent frequency disturbances, also known as narrow-band interference (NBI), such as those encountered in power line communications (PLC) channel.

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电力线通信信道中频率映射技术的数学方法与实现

摘要考虑到可能存在的不同类型的噪声，与其他信道相比，电力线信道被认为是一个非常不利的信道。因此，纠错码和调制方案的选择可以在对抗这种信道中的噪声方面发挥很大作用。对于这种类型的信道，M-FSK调制已经显示出其鲁棒性。本文提出了两种频率映射技术。在第一种技术中，基于置换符号的值和位置将M个正交频率按序列排列，而在第二种技术中基于Walsh-Hadamard变换（WHT）的符号变化将频率重新排列。由于Viterbi解码器被认为是卷积码和具有状态机表示的码的最大似然解码算法，因此所获得的M-FSK调制被组合到基于Viterbi解码算法的码。介绍了一种频率映射的数学方法和实现方法，以研究新设计的通信系统在存在永久频率干扰（也称为窄带干扰（NBI））的情况下的性能，例如在电力线通信（PLC）信道中遇到的频率干扰。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Applied and Industrial Mathematics Mathematics-Applied Mathematics

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks

期刊介绍： Communications in Applied and Industrial Mathematics (CAIM) is one of the official journals of the Italian Society for Applied and Industrial Mathematics (SIMAI). Providing immediate open access to original, unpublished high quality contributions, CAIM is devoted to timely report on ongoing original research work, new interdisciplinary subjects, and new developments. The journal focuses on the applications of mathematics to the solution of problems in industry, technology, environment, cultural heritage, and natural sciences, with a special emphasis on new and interesting mathematical ideas relevant to these fields of application . Encouraging novel cross-disciplinary approaches to mathematical research, CAIM aims to provide an ideal platform for scientists who cooperate in different fields including pure and applied mathematics, computer science, engineering, physics, chemistry, biology, medicine and to link scientist with professionals active in industry, research centres, academia or in the public sector. Coverage includes research articles describing new analytical or numerical methods, descriptions of modelling approaches, simulations for more accurate predictions or experimental observations of complex phenomena, verification/validation of numerical and experimental methods; invited or submitted reviews and perspectives concerning mathematical techniques in relation to applications, and and fields in which new problems have arisen for which mathematical models and techniques are not yet available.