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George Zweig and Brendt Wohlberg, "Application of a super-resolution Fast Fourier Transform to ISAR imaging and EXAFS crystal-structure determination", in Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, (Pocono Manor, PA, USA), doi:10.1109/SSAP.2000.870166, pp. 458--462, Aug 2000


The method of sparse spectrum estimation developed by Chen and Donoho for real-valued one-dimensional signals has been extended to complex-valued signals, and is used here in two widely different applications: to denoise and superresolve ISAR images, and to transform extended X-ray absorption fine-structure (EXAFS) data of the elements to aid in the determination of their detailed crystal structure. This extension of the Chen-Donoho algorithm, which we call the l1-FFT, incorporates the a priori information that the spectrum is sparse by minimizing the l1 norm of the coefficients of the expansion functions. The l1-FFT is applied to stepped-frequency ISAR imaging where it increases resolution by factors of 4 and 64 over that of the windowed Fourier transform, for the real and simulated data presented here. In the second application, to determine the effects of aging on the crystal structure of plutonium, the l1-FFT is used to transform EXAFS plutonium data. The l1-FFT increases inter-atomic spatial resolution by a factor of 64 over that delivered by a windowed Fourier transform.

BibTeX Entry

author = {George Zweig and Brendt Wohlberg},
title = {Application of a super-resolution Fast {F}ourier Transform to {ISAR} imaging and {EXAFS} crystal-structure determination},
year = {2000},
month = Aug,
booktitle = {Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing},
address = {Pocono Manor, PA, USA},
doi = {10.1109/SSAP.2000.870166},
pages = {458--462}