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Bootstrap modeling of a class of nonstationary signals

机译:一类非平稳信号的自举建模

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摘要

The problem of modeling polynomial-phase signals is considered. Techniques based on the bootstrap and multiple hypotheses tests for optimal model selection of constant amplitude polynomial-phase signals embedded in stationary noise are developed. Phase parameter estimators based on both the least-squares method and the polynomial phase transform are used. The proposed techniques are compared with existing ones, including Akaike's (1978, 1974) information criterion and Rissanen's (1978) minimum description length criterion and are shown to outperform these procedures for the considered small sample sizes.
机译:考虑了对多项式相位信号建模的问题。开发了基于自举和多重假设检验的技术,用于选择固定噪声中恒定振幅多项式相位信号的最佳模型选择。使用基于最小二乘法和多项式相位变换的相位参数估计器。所提出的技术与现有技术进行了比较,包括Akaike(1978,1974)的信息标准和Rissanen(1978)的最小描述长度标准,并且在考虑的小样本量下,其性能优于这些程序。

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