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Range sidelobe suppression in a desired Doppler interval

Publication ,  Journal Article
Chi, Y; Pezeshki, A; Calderbank, R; Howard, S
Published in: 2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009
April 23, 2009

We present a novel method of constructing a Doppler resilient pulse train of Golay complementary waveforms, for which the range sidelobes of the pulse train ambiguity function vanish inside a desired Doppler interval. This is accomplished by coordinating the transmission of a Golay pair of phase coded waveforms in time according to the 1's and -1's in a biphase sequence. The magnitude of the range sidelobes of the pulse train ambiguity function is shown to be proportional to the magnitude spectrum of the biphase sequence. Range sidelobes inside a desired Doppler interval are suppressed by selecting a sequence whose spectrum has a high-order null at a Doppler frequency inside the desired interval. We show that the spectrum of the biphase sequence obtained by oversampling the length-2M Prouhet-Thue-Morse (PTM) sequence by a factor m has an Mth-order null at all rational Doppler shifts Θ0 = 2πl /m, where l ≠ 0 and m≠ 1 are co-prime integers. This spectrum also has an (M - 1)th-order null at zero Doppler and (M - h - 1)th-order nulls at all Doppler shifts Θ0 = 2πl /(2hm), where l ≠ 0 andm ≠ 1 are again co-prime and 1 ≤ h ≤ M - 1. ©2009 IEEE.

Duke Scholars

Published In

2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009

DOI

Publication Date

April 23, 2009

Start / End Page

258 / 262
 

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Chi, Y., Pezeshki, A., Calderbank, R., & Howard, S. (2009). Range sidelobe suppression in a desired Doppler interval. 2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009, 258–262. https://doi.org/10.1109/WDDC.2009.4800356
Chi, Y., A. Pezeshki, R. Calderbank, and S. Howard. “Range sidelobe suppression in a desired Doppler interval.” 2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009, April 23, 2009, 258–62. https://doi.org/10.1109/WDDC.2009.4800356.
Chi Y, Pezeshki A, Calderbank R, Howard S. Range sidelobe suppression in a desired Doppler interval. 2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009. 2009 Apr 23;258–62.
Chi, Y., et al. “Range sidelobe suppression in a desired Doppler interval.” 2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009, Apr. 2009, pp. 258–62. Scopus, doi:10.1109/WDDC.2009.4800356.
Chi Y, Pezeshki A, Calderbank R, Howard S. Range sidelobe suppression in a desired Doppler interval. 2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009. 2009 Apr 23;258–262.

Published In

2009 International Waveform Diversity and Design Conference Proceedings, WDD 2009

DOI

Publication Date

April 23, 2009

Start / End Page

258 / 262