研究了Class A统计物理模型,对该模型的参数估计提出了一种最大似然方法,利用FFT的优势降低运算量,通过对观测数据进行分类计算以保证精度要求,并设计了初始值估计方案. 仿真实验表明,该方法精度高,迭代次数少,有较高的应用价值.
This paper investigates the Class A noise model, and proposes a method to determine parameters of the model based on maximum likelihood estimation. The method uses FFT to reduce computation complexity and enhance performance by calculating two data groups from the original observed data. A method for estimating initial values is also proposed. Simulation results show that the method has good performance with a small number of iterations, and therefore is suitable for practical applications.
[1] ABRAHAM D A. Detection-threshold approximation for non-Gaussian backgrounds [J]. IEEE Journal of Oceanic Engineering, 2010, 35: 335-341.
[2] GOKEN C, GEZICI S, ARIKAN O, Optimal signaling and detector design for power-constrained binary communications systems over Non-Gaussian channels [J]. IEEE Transactions on Communications Letters, 2010, 14: 100-111.
[3] 蒋宇中,胡修林,张曙霞. 非高斯噪声中的Turbo码的性能改进研究 [J]. 应用科学学报,2006, 24(4): 336-340.
JIANG Yuzhong, HU Xiulin, ZHANG Shuxia, Performance improvement of Turbo code in Non-Gaussian noise[J]. Journal of Applied Sciences, 2006, 24(4): 336-340.
[4] MIDDLETON D. Statistical-physical models of electromagnetic interference [J]. IEEE Trans.1977, EMC-19: 106-127.
[5] MIDDLETON D. Procedures for determining the parameters of the first-order canonical models of Class A and Class B electromagnetic interference [J]. IEEE Transactions on Electromagnetic Compatibility, 1979, EMC-21(3).
[6] ZABIN S M, POOR H V. Efficient identification of Non-Gaussian mixtures[J], IEEE Transactions on Communications, 2000, 48: 106-117.
[7] ZABIN S M, POOR H V. Effcient estimation of Class A noise parameters via the EM algorithms [J]. IEEE Transactions on Information Theory, 1991, 37: 60-72.
[8] JIANG Yuzhong. Bayesian estimation of Class A noise parameters with hidden channel states [C]// 2007 IEEE International Symposium on Power Line Communications and Its Applications, March, 2007: 26-28.
[9] MITTNIK S T, DOGANOGLU T, CHENYAO D. Computing the probability density function of the stable Paretian distribution[J]. Mathematical and Computer Modeling, 1999, 29: 235-240.
[10] JIANG Yuzhong. Identification of Class A Noise parameters via least square gradient method [C]// 2009 International Congress on Image and Signal Processing, Oct. 2009:17-19.