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Proceedings Paper

Discrete chirp-Fourier transform
Author(s): Xiang-Gen Xia
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Paper Abstract

In this paper, we study discrete chirp-Fourier transform (DCFT), which is analogous to the Discrete Fourier transform (DFT). Besides the multiple frequency matching similar to the DFT, the DCFT can be used to match the multiple chirp rates in a chirp-type signal with multiple chirp components. We show that the magnitudes of all the sidelobes of the DCFT of a quadratic chirp signal are 1 while the magnitude of the mainlobe of the DCFT is yieldsN, where N is a prime and is the length of the signal. With this result, an upper bound for the number of the detectable chirp components using the DCFT is provided in terms of signal length, signal and noise powers. We also show that the N-point DCFT performance optimally when N is a prime.

Paper Details

Date Published: 29 September 1999
PDF: 12 pages
Proc. SPIE 3810, Radar Processing, Technology, and Applications IV, (29 September 1999); doi: 10.1117/12.364079
Show Author Affiliations
Xiang-Gen Xia, Univ. of Delaware (United States)

Published in SPIE Proceedings Vol. 3810:
Radar Processing, Technology, and Applications IV
William J. Miceli, Editor(s)

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