(几乎)周期平稳信号的一致的k阶时频表示

[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis Pub Date : 1992-10-04 DOI:10.1109/TFTSA.1992.274220

G.B. Gianakis, A. V. Dandawate

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引用次数: 3

摘要

讨论了现有的k阶时频表示(TFR)的局限性。强调的是，如果潜在的非平稳性是结构化的，tfr的一致估计是可能的。阐明了一致和渐近正态循环统计量在估计循环平稳过程的tfr中的作用，并讨论了循环统计量、模糊函数和Wigner-Ville分布之间的关系。研究了周期统计量的抗噪性。在不假设循环平稳的情况下，给出了一类非平稳过程统计量一致估计的条件

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Consistent kth-order time-frequency representations for (almost) cyclostationary signals

Limitations of existing kth-order time-frequency representations (TFR) are discussed. It is emphasized that consistent estimation of TFRs is possible if the underlying nonstationarity is structured. The role of consistent and asymptotically normal cyclic-statistics in estimating the TFRs of cyclostationarity processes is elucidated, and relationships between cyclic-statistics, ambiguity functions, and Wigner-Ville distributions are discussed. Noise immunity of cyclic-statistics is shown. Conditions for consistent estimation of statistics of a class of nonstationary processes are given without assuming cyclostationarity.<>

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[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

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