Approximation to independent lognormal sum with α-μ distribution and the application
Approximation to independent lognormal sum with α-μ distribution and the application
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DOI：
10.1016/j.sigpro.2014.12.025
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发表时间：
2015-06
期刊：
影响因子：
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通讯作者：
Bing Wang;G. Cui;Wei Yi;L. Kong;Xiaobo Yang
中科院分区：
文献类型：
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作者：
Bing Wang;G. Cui;Wei Yi;L. Kong;Xiaobo Yang
本文考虑独立且可能不同分布的对数正态随机变量（RV）之和的统计分布。用α-μ分布来近似对数正态和的密度函数概率。两种方法，例如，分别采用矩法和非线性最小二乘（LS）法求取α-μ分布的参数。考虑最大比合并（MRC）接收机，推导了M进制非相干频移键控（M-NFSK）调制的平均误比特概率（ABEP）的解析表达式。最后，通过数值实验对α-μ近似和ABEP的性能进行了评价.
This paper considers the statistical distribution of the sum of independent and possibly non-identically distributed lognormal random variables (RVs). Theα–μdistribution is employed to approximate the probability of density function (PDF) of the lognormal sum. Two approaches, e.g., the moment-based and non-linear least square based (LS-based) methods, are used to obtain the parameters ofα–μdistribution. Accounting for maximal-ratio combining (MRC) receiver, an analytical expression of the average bit error probability (ABEP) of theM-ary noncoherent frequency-shift keying (M-NFSK) modulation is derived. Finally, the performances of theα–μapproximation and the ABEP are evaluated via numerical experiments.