Discrete chirp-Fourier transform

Xiang Gen Xia*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)

Abstract

In this study, an attempt is made to evaluate discrete chirp-Fourier transform (DCFT). It is shown 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 √N, 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. It is also shown that the N-point DCFT performs optimally when N is a prime.

Original languageEnglish
Pages (from-to)27-38
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume3810
Publication statusPublished - 1999
Externally publishedYes
EventProceedings of the 1999 Radar Processing, Technology, and Applications IV - Denver, CO, USA
Duration: 21 Jul 199922 Jul 1999

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