一类信号所确定的预测误差滤波器的零点分布

ZERO DISTRIBUTION OF THE PREDICTION-ERROR FILTER FOR A TYPE OF SIGNAL

对R.Kumaresan提出的由M个指数衰减(或不衰减)的正弦信号的和组成的信号进行了推广,讨论了由这类推广了的信号所确定的预测误差滤波器多项式的零点分布。信号零点完全由信号所确定。不论信号零点如何分布,只要预测误差滤波器多项式的系数满足某些条件,则其额外零点在单位圆的外部呈均匀状分布。

The combined sine-wave signal proposed by R.Kumarcsan isgeneralized in this paper.The zero distribution of the prediction-error filter polynomial of this type of signal is studied.The signal zeros arc all dependent on the signals.No matter how distributed the signal zeros are,the extraneous zeros of the prediction-error filter polynomial are approximately in uniform distribution out of the unit circle,as long as th:coefficient vector of the polynomial satisfies some conditions.