CAJ | 학술논문

由于分数阶傅里叶变换（FrFT）可以看做一种统一的时频变换，已经广泛应用于雷达、通信、声纳等信号处理领域。分数阶傅里叶变换的数值计算是分数阶傅里叶变换走向实际应用的关键。文章首先给出了分数阶傅里叶变换的定义，分析了现有的几种主要的数值计算方法；然后，重点研究了一种最近由Adhermar Bultheel实现的二相数值算法；最后通过计算机仿真验证，该算法精度高、运算速度更快，可以进一步贴近工程领域实时性需求。
유우분수계부리협변환（FrFT）가이간주일충통일적시빈변환，이경엄범응용우뢰체、통신、성납등신호처리영역。분수계부리협변환적수치계산시분수계부리협변환주향실제응용적관건。문장수선급출료분수계부리협변환적정의，분석료현유적궤충주요적수치계산방법；연후，중점연구료일충최근유Adhermar Bultheel실현적이상수치산법；최후통과계산궤방진험증，해산법정도고、운산속도경쾌，가이진일보첩근공정영역실시성수구。
As the Fractional Fourier Transform （FrFT） can be seen as an unified time-frequency transform,it has been a powerful tool which can be widely used in such signal processing fields as： radar, communication, sonar, and so on. The fast computation of the FrFT is the a key problem of the practical applications. In this paper, the definition of the FrFT is introduced and several typical algorithms were ana- lyzed. Then, A twc~phase implementation of the fractional Fourier transform described by Adhermar Bultheel is studied. By comparison,it has advantages of high precision and fast speed, which can improve the real-time performance in engineering field.