Doppler resilient Golay complementary waveforms

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Pezeshki, A; Calderbank, AR; Moran, W; Howard, SD

Published Date

  • September 15, 2008

Published In

Volume / Issue

  • 54 / 9

Start / End Page

  • 4254 - 4266

International Standard Serial Number (ISSN)

  • 0018-9448

Digital Object Identifier (DOI)

  • 10.1109/TIT.2008.928292

Citation Source

  • Scopus