通过定义两种新的变换——指数型相位匹配变换和复时间延迟型相位匹配变换,可实现对任意阶次的多项式相位信号(PPS)的瞬时频率变化率(IFR)估计.给出了这两种变换的基本原理和实现方法,同时分析了算法实现过程中应注意的问题.进而,研究了IFR在以下三个方面的应用:(1)PPS的参数估计问题;(2)PPS的瞬时频率估计问题;(3)构造新的时频分布,该分布对于阶次大于2的多项式相位信号具有理想的时频聚集性.最后通过计算机仿真实验验证了本文所提算法的有效性.

Two kinds of transform——exponential matched-phase transform and complex-lag matched-phase transform are defined,in order to estimate the instantaneous frequency rate(IFR) of a polynomial phase signal with arbitrary order.The principle and realization procedure with details of the two transforms are given.Then,three aspects application of IFR are studied,the first is the parameter estimation of PPS,the second is the estimation of instantaneous frequency of PPS,and the third is constructing a new time frequency distribution,this distribution concentrates along the instantaneous frequency of a PPS with order more than two.The results of computer simulation demonstrate the validity of the method proposed.