# Range sidelobe suppression in a desired Doppler interval

Journal Article

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-2 Prouhet-Thue-Morse (PTM) sequence by a factor m has an Mth-order null at all rational Doppler shifts Θ = 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 Θ = 2πl /(2 m), where l ≠ 0 andm ≠ 1 are again co-prime and 1 ≤ h ≤ M - 1. ©2009 IEEE. M h 0 0

### Full Text

### Duke Authors

### Cited Authors

- Chi, Y; Pezeshki, A; Calderbank, R; Howard, S

### Published Date

- April 23, 2009

### Published In

- 2009 International Waveform Diversity and Design Conference Proceedings, Wdd 2009

### Start / End Page

- 258 - 262

### Digital Object Identifier (DOI)

- 10.1109/WDDC.2009.4800356

### Citation Source

- Scopus