Scholars@Duke

Doppler resilient Golay complementary waveforms

Publication ,  Journal Article
Pezeshki, A; Calderbank, AR; Moran, W; Howard, SD
Published in: IEEE Transactions on Information Theory
September 15, 2008
Published version (DOI)

We describe a method of constructing a sequence (pulse train) of phase-coded waveforms, for which the ambiguity function is free of range sidelobes along modest Doppler shifts. The constituent waveforms are Golay complementary waveforms which have ideal ambiguity along the zero Doppler axis but are sensitive to nonzero Doppler shifts. We extend this construction to multiple dimensions, in particular to radar polarimetry, where the two dimensions are realized by orthogonal polarizations. Here we determine a sequence of two-by-two Alamouti matrices where the entries involve Golay pairs and for which the range sidelobes associated with a matrix-valued ambiguity function vanish at modest Doppler shifts. The Prouhet-Thue-Morse sequence plays a key role in the construction of Doppler resilient sequences of Golay complementary waveforms. © 2008 IEEE.

Duke Scholars

Robert Calderbank
Author Robert Calderbank Computer Science

Published In

IEEE Transactions on Information Theory

DOI

10.1109/TIT.2008.928292

ISSN

0018-9448

Publication Date

September 15, 2008

Volume

54

Issue

9

Start / End Page

4254 / 4266

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Pezeshki, A., Calderbank, A. R., Moran, W., & Howard, S. D. (2008). Doppler resilient Golay complementary waveforms. IEEE Transactions on Information Theory, 54(9), 4254–4266. https://doi.org/10.1109/TIT.2008.928292
Pezeshki, A., A. R. Calderbank, W. Moran, and S. D. Howard. “Doppler resilient Golay complementary waveforms.” IEEE Transactions on Information Theory 54, no. 9 (September 15, 2008): 4254–66. https://doi.org/10.1109/TIT.2008.928292.
Pezeshki A, Calderbank AR, Moran W, Howard SD. Doppler resilient Golay complementary waveforms. IEEE Transactions on Information Theory. 2008 Sep 15;54(9):4254–66.
Pezeshki, A., et al. “Doppler resilient Golay complementary waveforms.” IEEE Transactions on Information Theory, vol. 54, no. 9, Sept. 2008, pp. 4254–66. Scopus, doi:10.1109/TIT.2008.928292.
Pezeshki A, Calderbank AR, Moran W, Howard SD. Doppler resilient Golay complementary waveforms. IEEE Transactions on Information Theory. 2008 Sep 15;54(9):4254–4266.

Published In

IEEE Transactions on Information Theory

DOI

10.1109/TIT.2008.928292

ISSN

0018-9448

Publication Date

September 15, 2008

Volume

54

Issue

9

Start / End Page

4254 / 4266

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing