Exact and approximate time-shift operators

John E. Piper

doi:10.1117/12.818196

28 April 2009 Exact and approximate time-shift operators

John E. Piper

Proceedings Volume 7337, Algorithms for Synthetic Aperture Radar Imagery XVI; 73370D (2009) https://doi.org/10.1117/12.818196
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

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.

Citation Download Citation

John E. Piper "Exact and approximate time-shift operators", Proc. SPIE 7337, Algorithms for Synthetic Aperture Radar Imagery XVI, 73370D (28 April 2009); https://doi.org/10.1117/12.818196

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