Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 54, Issue 9, Pages 4254-4266Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2008.928292
Keywords
ambiguity function; Doppler resilient waveforms; Golay complementary sequences; Proubet-Thue-Morse sequence; radar polarimetry; range sidelobe suppression
Funding
- National Science Foundation [0701226]
- Office of Naval Research [N00173-06-1-G006]
- Air Force Office of Scientific Research [FA9550-05-1-0443, FA8750-05-2-0285]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0701226] Funding Source: National Science Foundation
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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 waveform's 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.
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