一种新的mc-PPS瞬时频率变化率的估计
doi: 10.3724/SP.J.1146.2007.01855
A New Estimation Method of Instantaneous Frequency Rate for Multicomponent Polynomial Phase Signal
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摘要: 该文在分数阶傅里叶(FRFT)计算分解的基础上，讨论了其某些步骤在信号检测中的冗余，提出了一种简化的分数阶傅里叶算法(RFRFT)，详细讨论了它的几种重要性质，并结合一次相位差分法提出了乘积性RFRFT(PRFRFT)算法，实现了mc-PPS的瞬时频率变化率(IFR)估计。同时借助角度变换提高了RFRFT识别参数的分辨率。该方法运算量小，易于实现。仿真结果证实了该方法能够有效地抑制噪声和交叉项，可以适应低信噪比环境。
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关键词:
- 多分量多项式相位信号 /
- 瞬时频率变化率 /
- 参数估计 /
- 分数阶傅里叶变换 /
- 简化算法
Abstract: This paper discusses some redundancy steps of FRFT in signal detection based on the decomposition of FRFT, and puts forward a Reduced FRFT (RFRFT) algorithm. Then it discusses several important characters of RFRFT in detail. Combined with the phase difference method, it proposes the product RFRFT arithmetic to realize the Instantaneous Frequency Rate (IFR) estimation of mc-PPS. And it enhances the parameter resolution rate of RFRFT by angle transform. This method is easy to calculate and implement. Simulation results validate the method is able to suppress the noise and cross-terms, and can apply to low SNR environment. -
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