匹配傅里叶变换快速算法及在雷达信号处理中应用

Fast calculation method of match Fourier transform and its application in radar signal processing

为了减小匹配傅里叶变换分析的计算量,提出了一种基于快速傅里叶变换的快速算法。根据匹配傅里叶变换的分解将积分形式转化为离散形式,推导出快速算法表达式。该算法与直接的数值离散匹配傅里叶变换算法相比较,计算量大大减少。同时给出了其在雷达信号处理中线性调频信号的检测与参数估计的应用。理论及计算机仿真结果表明了该算法的有效性和精确性,有良好的工程应用前景。

In order to reduce the calculation of match Fourier transform analysis, a method based on Fast Fourier Transform （FFT） is presented. Changing the integral form of the match Fourier transform into discrete form, and the fast algorithm is derived .Compared with computing the expression of discrete match Fourier transform directly, the amount of calculation is greatly reduced when using this presented method. This paper also presents its application in Linear Modulated Frequency （LFM） Signal detection and parameter estimation when processing the radar signal .Theory and computer simulations show that this proposed method is valid and effective and it has a good engineering application prospects.