ABSTRACT

The ordinary Fourier transform and related techniques are of great importance in many areas of science and engineering. The fractional Fourier transform (FRT) is a generalization of the ordinary Fourier transform with an order (or power) parameter a. This chapter provides an introduction to the fractional Fourier transform and discusses some of its more important properties. The FRT also has a growing list of applications in several areas. An overview of applications that have received interest so far are provided at the end of this chapter. Those interested in learning about the transform and its applications in greater depth are referred to [23,122,123,129].