Math @ Duke

Publications [#235880] of Robert Calderbank
Papers Published
 Pezeshki, A; Calderbank, R; Howard, SD; Moran, W, Doppler resilient golay complementary pairs for radar,
IEEE Workshop on Statistical Signal Processing Proceedings
(2007),
pp. 483487 [doi]
(last updated on 2018/07/20)
Abstract: We present a systematic way of constructing a Doppler resilient sequence of Golay complementary waveforms for radar, for which the composite ambiguity function maintains ideal shape at small Doppler shifts. The idea is to determine a sequence of Golay pairs that annihilates the loworder terms of the Taylor expansion of the composite ambiguity function. The ProuhetThueMorse sequence plays a key role in the construction of Doppler resilient sequences of Golay pairs. We extend this construction to multiple dimensions. In particular, we consider radar polarimetry, where the dimensions are realized by two orthogonal polarizations. We determine a sequence of twobytwo Alamouti matrices, where the entries involve Golay pairs and for which the matrixvalued composite ambiguity function vanishes at small Doppler shifts. ©2007 IEEE.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

