CAJ | 학술논문

　　分数阶Fourier变换(FRFT)对LFM信号具有最优检测能力，但对线性调频连续波(LFMCW)信号的检测与估计是次优的。由于LFMCW信号可视为LFM信号的周期拓展，基于FRFT对LFM信号的能量聚集和相干累积思想，该文提出一种新的信号处理方法周期分数阶Fourier变换，以实现对LFMCW信号的检测和估计。周期分数阶 Fourier 变换的核函数可以与 LFMCW 信号实现最佳匹配，理论分析和仿真实验表明，随着观测时间的增加，可以实现对LFMCW信号的渐进最优估计，具有比FRFT更优的检测性能。
　　분수계Fourier변환(FRFT)대LFM신호구유최우검측능력，단대선성조빈련속파(LFMCW)신호적검측여고계시차우적。유우LFMCW신호가시위LFM신호적주기탁전，기우FRFT대LFM신호적능량취집화상간루적사상，해문제출일충신적신호처리방법주기분수계Fourier변환，이실현대LFMCW신호적검측화고계。주기분수계 Fourier 변환적핵함수가이여 LFMCW 신호실현최가필배，이론분석화방진실험표명，수착관측시간적증가，가이실현대LFMCW신호적점진최우고계，구유비FRFT경우적검측성능。
The FRaction Fourier Transform (FRFT) is optimal in the detection and parameter estimation of Linear Frequency Modulation (LFM) signal, but it is suboptimal for Linear Frequency Modulation Continuous Wave (LFMCW). LFMCW signal is a periodic extension of an LFM signal. In virtue of the energy congregation of FRFT for LFM signal and the coherent integrator in signal processing, this paper formulates a new detection and parameter algorithm for LFMCW signal, called the periodic FRFT. The theory analysis and simulation results show the proposed algorithm is asymptotically optimal in the detection and parameter estimation of LFMCW signal along with increasing observation time, and better than traditional FRFT algorithm.