Math @ Duke

Publications [#235989] of Robert Calderbank
Papers Published
 Dang, W; Pezeshki, A; Howard, S; Moran, W; Calderbank, R, Coordinating complementary waveforms for sidelobe suppression,
Conference Record of the Asilomar Conference on Signals, Systems and Computers
(2011),
pp. 20962100, ISSN 10586393 [doi]
(last updated on 2018/07/20)
Abstract: We present a general method for constructing radar transmit pulse trains and receive filters for which the radar pointspread function in delay and Doppler, given by the crossambiguity function of the transmit pulse train and the pulse train used in the receive filter, is essentially free of range sidelobes inside a Doppler interval around the zeroDoppler axis. The transmit pulse train is constructed by coordinating the transmission of a pair of Golay complementary waveforms across time according to zeros and ones in a binary sequence P. The pulse train used to filter the received signal is constructed in a similar way, in terms of sequencing the Golay waveforms, but each waveform in the pulse train is weighted by an element from another sequence Q. We show that a spectrum jointly determined by P and Q sequences controls the size of the range sidelobes of the crossambiguity function and by properly choosing P and Q we can clear out the range sidelobes inside a Doppler interval around the zeroDoppler axis. The joint design of P and Q enables a tradeoff between the order of the spectral null for range sidelobe suppression and the signaltonoise ratio at the receiver output. We establish this tradeoff and derive a necessary and sufficient condition for the construction of P and Q sequences that produce a null of a desired order. © 2011 IEEE.


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

