LFM信号调频斜率的双正交Fourier变换分析算法

Analysis Algorithm to Frequency Rate of LFM Signal Based on Biorthogonal Fourier Transform

现有很多LFM信号调频斜率的分析算法,但这些算法存在诸多不足,如计算复杂、搜索时间长,对多LFM信号有交叉项等。该文提出了基于双正交Fourier变换的新LFM信号调频斜率分析算法,其特点是信号在双正交基下展开,通过变换得到信号调频斜率密度谱。该算法不需要搜索,且特别适合对不同调频斜率组成的多LFM信号进行调频斜率分析。文中推导了连续双正交Fourier变换公式和离散变换公式,并讨论了算法的一些主要性质。

There are many analysis algorithms for frequency rate of LFM signal, but those algorithms have some drawbacks, such as highly computational complexity, long time for searching, and cross-term in multi-LFM signal. In this paper, a new analysis algorithm of frequency rate of LFM signal is presented based on Biorthogonal Fourier Transform （BFT）, the signal is expanded with hiorthogonal base function that could be got frequency rate density spectrum of the signal. This algorithm need no searching, and has better performance for detection different frequency rate of multi-LFM signal. This paper derives continual BFT formula and discrete transform formula and discusses its some main characters.