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| SNR Analysis of LFM Signal with Gaussian White Noise in Fractional Fourier Transform Domain |
| Liu Jian-cheng;Liu Zhong; Wang Xue-song; Xiao Shun-ping; Wang Guo-yu |
| School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China |
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Abstract 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).
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Received: 20 March 2006
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2007, Vol. 29 
