Math @ Duke

Publications [#235913] of Robert Calderbank
Papers Published
 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),
pp. 258262 [doi]
(last updated on 2018/07/19)
Abstract: 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 highorder null at a Doppler frequency inside the desired interval. We show that the spectrum of the biphase sequence obtained by oversampling the length2M ProuhetThueMorse (PTM) sequence by a factor m has an Mthorder null at all rational Doppler shifts Θ0 = 2πl /m, where l ≠ 0 and m≠ 1 are coprime integers. This spectrum also has an (M  1)thorder null at zero Doppler and (M  h  1)thorder nulls at all Doppler shifts Θ0 = 2πl /(2hm), where l ≠ 0 andm ≠ 1 are again coprime and 1 ≤ h ≤ M  1. ©2009 IEEE.


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