基于Radon-Ambiguity变换和分数阶傅里叶变换的chirp信号检测及多参数估计

Chirp Signal Detection and Multiple Parameter Estimation Using Radon-Ambiguity and Fractional Fourier Transform

  • 摘要: 研究噪声环境中chirp信号的检测以及多参数估计问题.分析和比较了Radon-Wigner变换(RWT)法、Radon-Ambiguity变换(RAT)法和分数阶傅里叶变换(FRFT)扫描法的优缺点.提出了一种基于RAT和FRFT的新算法,并提出了幅度估计的一种适合于计算的表达式.最后通过计算机仿真验证了该方法的有效性.这种方法与RWT法和FRFT扫描法相比,将chirp信号的检测问题变为一维搜索问题,简化了计算,与单纯的RAT法相比,有效地解决了chirp信号的初始频率和幅度的估计问题.因此,适合于对c

     

    Abstract: The paper focuses on detection and parameter estimation of chirp signals in a noisy environment. Several approaches to such problem including the so called RWT method, RAT method, and FRFT scan method are compared and analyzed. On the basis of analyzing these methods, an new method based on RAT and FRFT is presented. For the amplitude estimation of chirp signal, an expression which is suitable for computation is given. Computer simulations have verified the effectiveness of the method. Compared with RWT and FRFT scan methods, this method reduces the chirp detection to mere one dimensional search. Meanwhile, compared with pure RAT method, it can estimate efficiently the initial frequency and amplitude of chirp signals. Hence, this method suits for use on applications requiring multiple parameters joint estimation of chirp signals.

     

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