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Proceedings Paper

Exact and approximate time-shift operators
Author(s): John E. Piper
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Paper Abstract

A novel fractional time-shift operator is presented in this paper. It is based on performing a phase shift in the frequency domain, which, of course, corresponds to the desired time shift in the time domain. The operations of transforming to the frequency domain, multiplying by the phase shift, and transforming back to the time domain can be accomplished efficiently using one matrix. This matrix is Toeplitz with terms away from the shift number near zero. By approximating the near zero terms as zero, a banded or truncated Toeplitz matrix results. This reduces the computational load and allows an FIR filter realization for the fractional time shift.

Paper Details

Date Published: 28 April 2009
PDF: 5 pages
Proc. SPIE 7337, Algorithms for Synthetic Aperture Radar Imagery XVI, 73370D (28 April 2009); doi: 10.1117/12.818196
Show Author Affiliations
John E. Piper, Naval Surface Warfare Ctr. (United States)


Published in SPIE Proceedings Vol. 7337:
Algorithms for Synthetic Aperture Radar Imagery XVI
Edmund G. Zelnio; Frederick D. Garber, Editor(s)

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