复循环平稳的非平稳信号的非参数谱估计
NONPARAMETRIC SPECTRAL ESTIMATORS FOR SECOND ORDER (ALMOST) CYCLOSTATIONARY COMPLEX PROCESSES
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摘要: 复准循环平稳信号为具有准周期时变统计特性的复随机信号,它对研究信息系统中的一些非高斯过程有重要意义。本文提出了平滑周期图作为离散时间复循环平稳过程的循环谱估计,并从理论上证明了该估计为相容估计,还导出了其渐近协方差表达式。Abstract: Second-order almost cyclostationary complex processes are complex random signals with almost periodically time-varying statistics. Smoothed periodograms are proposed for discrete-time complex 2nd-order cyclostationary processes as cyclic spectral estimation and are shown to be consistent. Asymptotic covariance expressions are derived along with their computable forms.
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Dandawate A V，Giannakis G B. IEEE Trans. on IT, 1994, IT-40(1):67-84.[2]Brillinger D R. Time Series: Data Analysis and Theory. San Francisco, CA: Holden-Day, 1981,1-30.[3]Brillinger D R, Rosenblatt M. Asymptotic Theory of Estimates of k-th Order Spectra, in Spectral Analysis of Time Series, ed. B. Harris, New York: Wiley, 1967, 153-188.[4]Swami A. Signal Processing, 1994, 36(3):355-373. -
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