A Formal Study of the Doppler Tolerance of Costas and Sudoku Waveforms

Bill Correll, Travis D. Bufler, Christopher N. Swanson, Ram M. Narayanan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations


We apply a new, formal measure of Doppler tolerance to frequency-hopping waveforms made from Costas arrays and Sudoku-based permutations. We first give a combinatorial structure theorem for Sudoku permutations that facilitates waveform analysis. We form statistical profiles of Doppler tolerance envelopes computed from thresholding narrowband ambiguity functions of these waveforms and compare against those from randomly-chosen permutations. As functions of temporal offsets, the statistical profiles indicate a wide range of Doppler tolerance, suggesting that permutation adaptivity is a worthwhile degree of freedom to exploit for moving target indication in frequency-challenged environments. We find that Sudoku-based waveforms behave much like randomly-chosen permutations with respect to Doppler tolerance.

Original languageEnglish (US)
Title of host publication2021 IEEE Radar Conference
Subtitle of host publicationRadar on the Move, RadarConf 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728176093
StatePublished - May 7 2021
Event2021 IEEE Radar Conference, RadarConf 2021 - Atlanta, United States
Duration: May 8 2021May 14 2021

Publication series

NameIEEE National Radar Conference - Proceedings
ISSN (Print)1097-5659


Conference2021 IEEE Radar Conference, RadarConf 2021
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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