分数阶Fourier域非均匀采样Chirp信号的频谱研究

Research on Spectrum of Nonuniformly Sampled Signal in Fractional Fourier Domain

摘要:

文中提出了一种自适应非均匀采样方法,并利用分数阶Fourier变换对这类非均匀采样信号在分数阶域的频谱进行了分析和研究,得到了这类非均匀采样信号在分数阶域的数字谱表达式；进一步得到了非均匀采样Chirp信号的分数阶频谱表达式；最后,通过仿真验证了结论。

Abstract:

A self-adaptive nonuniformly sampled method was presented in this paper, and the fractional spectrum of nonuniformly sampled signal was analyzed and studied based on fractional Fourier transform, then the digital spectrum expression of this kind of nonuniformly sampled signal in the fractional Fourier domain had been derived. Further, the fractional spectrum expression of nonuniformly sampled Chirp signal was derived. In the end, the results were verified by simulations.