Performance of Instantaneous Frequency Rate Estimation Using High-Order Phase Function
Performance of Instantaneous Frequency Rate Estimation Using High-Order Phase Function
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DOI：
10.1109/tsp.2009.2034939
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发表时间：
2010-04
影响因子：
5.4
通讯作者：
Pu Wang;Hongbin Li;I. Djurović;B. Himed
中科院分区：
文献类型：
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作者：
Pu Wang;Hongbin Li;I. Djurović;B. Himed
高阶相位函数是估计多项式相位信号瞬时频率变化率的有效工具。本文对任意阶多项式相位信号，导出了基于HPF的IFR估计的渐近偏差和方差的封闭形式。给出了IFR估计的Cramer-Rao界（CRB）的精确形式和渐近形式，并与基于HPF的IFR估计的渐近均方误差（MSE）进行了比较。仿真结果验证了我们的理论结果。
The high-order phase function (HPF) is a useful tool to estimate the instantaneous frequency rate (IFR) of a signal with a polynomial phase. In this paper, the asymptotic bias and variance of the IFR estimate using the HPF are derived in closed-forms for the polynomial phase signal with an arbitrary order. The Cramer-Rao bounds (CRBs) for IFR estimation, in both exact and asymptotic forms, are obtained and compared with the asymptotic mean-square error (MSE) of the HPF-based IFR estimator. Simulations are provided to verify our theoretical results.