Bit error rate of RS coded BFSK in broadband powerline channels with background Nakagami and impulsive noise
Bit error rate of RS coded BFSK in broadband powerline channels with background Nakagami and impulsive noise
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DOI：
10.1016/j.phycom.2014.11.002
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发表时间：
2015-03
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影响因子：
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通讯作者：
A. Chandra;A. Chattopadhyay;Kalyan Sharma;Sanjay Dhar Roy
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文献类型：
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作者：
A. Chandra;A. Chattopadhyay;Kalyan Sharma;Sanjay Dhar Roy
电力线通信（PLC）系统正在全球范围内标准化，其中一些标准推荐频移键控（FSK）作为其调制选择。通过PLC信道的宽带传输主要受始终存在的背景噪声和偶尔的高振幅脉冲的影响。近年来研究发现，PLC中的背景噪声可以适当地用Nakagami-m分布来建模，而表征脉冲的标准模型是假设高斯分布的振幅和泊松分布的到达。考虑到该模型，本文首先推导了非编码二进制FSK （BFSK）信号的简单解析误码率表达式。推导出的表达式简单，只涉及初等函数，分析得到的误码率值与计算机模拟结果吻合较好。其次，提出了一个统一的分析框架，用于评估误码率时，使用里德所罗门（RS）码来减轻噪声的影响。结果表明，当信本噪比（SBNR）较低时，噪声参数m和解调方式（相干/非相干）的选择对编码系统的误差性能有明显影响。相反，在较高的SBNR下，脉冲噪声对背景噪声的影响大于脉冲噪声，这些影响随着BER曲线变平而消失。数值计算表明，通过允许较低的码率（0.7），可以显着降低该错误下限（高达10 - 15）。进一步，发现系统的码增益是码率和码字长度的反函数。
Power line communication (PLC) systems are being standardized over the globe and some of these standards recommended frequency shift keying (FSK) as their modulation choice. Broadband transmission over a PLC channel is mainly affected by the ever-present background noise and the occasional high-amplitude impulses. It has been recently found that the background noise in PLC can be suitably modelled with Nakagami-m distribution while a standard model for characterizing impulses is to assume Gaussian distributed amplitude and Poisson distributed arrivals. Considering such a model, at first, simple analytical bit error rate (BER) expressions of uncoded binary FSK (BFSK) signals are derived in the paper. The derived expressions are simple, involve only elementary functions, and the analytical BER values match perfectly with computer simulations. Next, a unified analytical framework is presented for evaluating BER when a Reed Solomon (RS) code is used to mitigate the noise effects. The results reveal that when the signal to background noise ratio (SBNR) is low, there is a clear impact of the noise parameter m and the choice of demodulation method (coherent/non-coherent) on the error performance of the coded system. On the contrary, at higher SBNR, impulsive noise dominates over background noise, and these effects vanish as the BER curves become flat. Numerical evaluations dictated that by allowing a lower code rate (0.7) this error floor may be reduced significantly (up to 1 0− 15). Further, the code gain of the system was found to be an inverse function of the code rate and codeword length.