一种基于最小能量泄漏的信号周期估计方法

Method of Signal Period Estimation Based on the Smallest Energy Leakage

信号周期的估计是信号处理中的一项基础性内容,具有重要的应用价值。通过分析非整周期截断下频谱能量泄漏与截断位置的关系,给出了以最小能量泄漏为准则的信号周期估计判据,同时结合自相关函数的特点,提出了一种基于自相关分析和该判据相结合的信号周期估计方法。理论分析和不同类型信号的实验结果表明,该估计方法具有较强的鲁棒性、抗噪声及抗谐波失真性,且算法简单,精度较高。

The estimation of signal periods is a foundational content in signal processing, which is of significant in application. This article analyzes the relationship between the spectrum energy leakage and the interceptive position under non- integer-period truncation,and proposes a criterion of the smallest energy leakage that can be used as a rule of period estimation. The article presents a method of signal period estimation by making full use of the characteristic advantages of both auto- correlation function and the criterion. The theoretical analysis and the experimental results of typical signals indicate that this estimating method is of robust,anti- noise,anti- harmonic distortion as well as concise and precise enough.