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P—平稳过程的最大ch熵谱估计
引用本文:王琦,柳重堪.P—平稳过程的最大ch熵谱估计[J].北京航空航天大学学报,1991(4):126-132.
作者姓名:王琦  柳重堪
作者单位:北京科委科技开发中心 (王琦),北京航空航天大学应用数理系(柳重堪)
摘    要:研究少平稳随机序列在Chrestenson变换意义下的功率谱密度及其最大熵估计问题,得到了功率谱密度函数与熵率的关系公式及最大熵谱估计的正规方程。在采样数据个数为p~m的情况下,最大熵谱估计可直接由已知的有限自相关数据表示。这些结果与Fourier意义下的功率谱密度估计有很大的不同。

关 键 词:ch熵率  谱估计  随机序列  P-平稳

MAXIMUM CH-ENTROPY ESTIMATOR OF P-ADIC STATIONARY PROCESS
Wang Qi Liu Zhongkan.MAXIMUM CH-ENTROPY ESTIMATOR OF P-ADIC STATIONARY PROCESS[J].Journal of Beijing University of Aeronautics and Astronautics,1991(4):126-132.
Authors:Wang Qi Liu Zhongkan
Abstract:In this paper the power spectral density of p-adic stationary stochastic process under the sense of Chrestenson transform and its maximum entropy estimator are studied. The relationship formula between the power spectral density and the entropy rate and the normal equations of maximum entropy spectral estimator which is expressed in finite form are obtained. When the number of sampling data is pm, the maximum entropy estimator can be directly expressed by the known finite autocorrelation data. These results are much different from that of Fourier's.
Keywords:Chrestenson transform  p-stationary sequence  Ch-power spectral -density  Ch-entropy rate  Ch-maximum entropy estimation  
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