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首页> 外文期刊>Applied signal processing: The international journal of analog and digital signal processing >Sets of Periodic Complementary Sequences Derived from an Arbitrary Set of Periodic Sequences and Their applications
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Sets of Periodic Complementary Sequences Derived from an Arbitrary Set of Periodic Sequences and Their applications

机译：任意周期序列集衍生的周期互补序列集及其应用

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摘要

Two or more sequences are termed a set of periodic complementary sequences if the sum of their periodic autocorrelation functions at corresponding time shifts is an impulse function. Equivalently, a set of periodic sequences are complementary if the sum of their respective power spectral densities is constant. In this paper, the authors analytically extend the basic theory of system identification using one periodic signal to the more general case of employing a set of sequences. Complementary sequences are discussed as a convenient example of such a set of sequences. The authors then exploit the frequency-domain description of the complementary property to derive a new method for synthesising the complementary 'partner' of an arbitrary incomplete set of equal-length periodic sequences. Various examples are given to demonstrate the technique. The application of periodic complementary sequences to the problem of parameter identification is demonstrated by simulation.
机译：如果两个或多个序列在相应时间偏移处的周期性自相关函数之和为脉冲函数，则称为一组周期性互补序列。等效地，如果一组周期序列各自的功率谱密度之和为常数，则它们是互补的。在本文中，作者将使用一个周期信号的系统识别的基本理论分析性地扩展到采用一组序列的更一般的情况。讨论互补序列作为这种序列集的方便实例。然后，作者利用互补性质的频域描述来推导一种新的方法，用于合成等长周期序列的任意不完整集合的互补“伙伴”。给出了各种示例来演示该技术。通过仿真证明了周期互补序列在参数识别中的应用。

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