多维逆M序列及其在多变量系统辨识中的应用

Multi-Dimensional Inverse M Series and Its Application to Identification of Multi-Input and Multi-Output Systems

基于 M序列和逆 M序列 ,提出了多维逆 M序列发生器的结构形式。多维逆 M序列近似周期白噪声 ,无直流分量 ,各维序列之间互不相关。文中研究了多维逆 M序列的性质 ,给出了自相关函数的计算公式。通过使用多维逆 M序列 ,将多变量系统参数辨识简化为各通道对应的单变量系统参数辨识。多维逆 M序列具有很好的推广应用价值。

Based on the M series and the inverse M series, this paper puts forward the structure of the multi dimensional inverse M series generator, which is approximate to a cyclic white noise generator with D.C component and interaction. The generator, being composed of an M series generator and a certain number of exclusive or gates divided by “2”, is simple in structure and easy to apply. The properties of the series are discussed and the formula of its auto correlation function is given. By the series, parametric identification of multi input and multi output systems is simplified to that of single input and single output systems. The series is of good value for applications.