基于周期模糊函数理论的信噪比估计

周期模糊函数表示周期调制连续波信号的时延-频偏平面的相关,不同的信号具有不同的周期模糊函数。针对雷达中频信号的信噪比估计,提出了基于周期模糊函数理论的信噪比估计方法。根据信号和噪声在周期模糊函数中的不同位置具有不同的表现特征,推导了在高斯白噪声背景下基于周期模糊函数的信噪比估计公式,给出了实现算法,同时和其他信噪比估计算法进行了对比仿真分析。结果表明,基于周期模糊函数的信噪比估计方法,特别是对低信噪比情况下,估计精度高,算法简单,易于工程实现。

SNR Estimation Based on the Periodic Ambiguity Function Theory

Periodic ambiguity function is related to the time delay and frequency offset plane of a periodic modulation continuous wave, and different signals have different periodic ambiguity functions. To estimate the signal to noise ratio (SNR) of intermediate frequency signal, a method based on periodic ambiguity function was proposed. According to the different ambiguity function performance of signal and noise, the SNR estimation formula based on the periodic ambiguity function on the condition of Gauss white noise was derived, and the algorithm was given. In the end, the simulation was analyzed to compare with other methods. The results show that the accuracy of SNR estimation method based on the periodic ambiguity function is very high, especially for the condition of low SNR, and the algorithm is simple and easy to carry out.