Aerospace and Electronic Systems Magazine March 2017 - 48

Complementary Pair Radar Waveforms

Figure 15.

Delay-Doppler response, GWS and LPF, Doppler shift = 0, no pulse
canceller. Zoom on |τ| ≤ tp.

sidelobes cancellation. In [7] the originators of the GWS bit representation compared it with several constant-amplitude schemes
(phase shift keying, minimum phase shift keying, and derivative
phase shift keying) and found that those alternatives worsen the
ACF sidelobes of coded radar waveforms. In [8] a continuous
phase modulation (CPM) transformation was used, which also increased the delay sidelobes. A remedy described in [8] suggests
using mismatched filters to reduce the sidelobes at a cost of some
signal-to-noise ratio (SNR) loss. Such a remedy does not suit the
concept of complementary pair sidelobe cancellation rather than
sidelobe reduction.
Figure 16 compares the ACF mainlobe vicinity of the three
spectrally efficient implementations. Only the GWS implementation (top) maintained the cancellation of the ACF near-sidelobes.
In the CPM version (middle) high near-sidelobes reappear with
a peak of −22 dB. The derivative-phase version (bottom) yielded
peak near-sidelobe of −34 dB.
A fourth representation should be of interest. It uses the biphase-to-quadriphase transformation [9, 4 (sec. 6.8)]. The quad-

Figure 16.

ACF mainlobe comparison between three spectrally efficient implementations of a 26 element complementary pair.

48

IEEE A&E SYSTEMS MAGAZINE

MARCH 2017



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