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Digital implementations of spectral correlation analyzers

机译:频谱相关分析仪的数字实现

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The issues involved in the design of computationally efficient algorithms for spectral correlation estimation and the resulting impact on high-speed digital realization are addressed. The spectral correlation analyzer is characterized as a periodically time-varying quadratic system with a kernel possessing certain gross properties. The mean and variance of the output are expressed in terms of the kernel and the spectral correlation function of the input. Three realizations are analyzed in detail. One is based on the frequency-smoothing method of cross spectral analysis. The others are variants of the time-smoothing method. For each of these realizations, an exact expression for the quadratic system kernel is given, the digital implementation is developed, and a detailed complexity analysis is presented. High-speed pipeline realizations of the algorithms are analyzed, and related special issues are discussed. Examples involving the calculation of the spectral correlation function in near-real-time for broadband communications signals are discussed.
机译:解决了用于频谱相关估计的高效计算算法的设计及其对高速数字实现的影响。频谱相关分析器的特征是一个周期性时变二次系统,其核具有一定的总体性质。输出的均值和方差用核和输入的光谱相关函数表示。详细分析了三种实现。一种是基于互谱分析的频率平滑方法。其他是时间平滑方法的变体。对于这些实现中的每一个,给出了二次系统内核的精确表达式,开发了数字实现,并进行了详细的复杂性分析。分析了算法的高速管线实现,并讨论了相关的特殊问题。讨论了涉及宽带通信信号近实时频谱相关函数计算的示例。

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