SNR Analysis of LFM Signal with Gaussian White Noise in Fractional Fourier Transform Domain
高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析

Due to the motion of a target,radar return signals are usually LFM signals with unknown frequency and unknown frequency modulated rate.Fractional Fourier transform has recently attracted much attention in detection and parameter estimation of multi-component LFM signals.Fractional Fourier transform of LFM signal of finite duration is derived and a relation between coordinate of the peak and unknown parameters is given. Statistical characteristic of LFM signal with white noise in fractional Fourier domain is studied,a closed form expression is found for Signal-to-Noise Ratio(SNR),and it is compared with matched filter of ideal situation (i.e. parameters of LFM signal are known).