The fractional Fourier transform (FRFT), which is a generalization of the classical Fourier transform (FT), plays an important role in many areas of signal processing and optics. Many properties of this transform are well known. In the field of signal processing, the chirp signal has a good energy concentration in the fractional Fourier domain (FRFD) by choosing an appropriate fractional order, but the study of the fractional energy spectrum integral (FESI) is still missing. The purpose of this paper is to derive the FESI of the FRFT of chirp signal, from which an important property of the chirp signal’s FRFT is discovered that the FESI reaches the valley value at the rotation angle where the FRFT reaches the peak value, and this provides a new approach to detect and estimate the parameter of the chirp signal.

Date Published: 17 December 2015
PDF: 7 pages
Proc. SPIE 9811, MIPPR 2015: Multispectral Image Acquisition, Processing, and Analysis, 98111B (17 December 2015); doi: 10.1117/12.2231540

Published in SPIE Proceedings Vol. 9811:
MIPPR 2015: Multispectral Image Acquisition, Processing, and Analysis
Jinxue Wang; Zhiguo Cao; Jayaram K. Udupa; Henri Maître, Editor(s)