Aerospace and Electronic Systems Magazine March 2017 - 41

Note from Figure 1(c) that for this particular complementary pair
the peak sidelobe ratio of the recurrent delay lobes is 20log10(8/52)
= −16.25 dB.
Selecting a reference containing only one complementary
pair, namely only N (= 2) pulses, was done to simplify the
drawings. Such a short CPI (CPI = 2 Tr ) yields insufficient
Doppler resolution. When meaningful Doppler resolution is
desired, N would usually be a large even number. As pointed
out earlier in this introduction section, Doppler spoils the zero
near-sidelobes property of complementary pairs waveform.
How bad the degradation is, is the subject of the next section,
which presents the delay-Doppler response (without a pulse
canceller).

DELAY-DOPPLER RESPONSE WITHOUT PULSE CANCELLER
The signal used is a periodic train of N=64 pulses constructed from
32 identical complementary pairs with L =26 elements in each
pulse. The element duration is tb implying a pulse duration tp =
26tb. In order to simplify the drawings the duty cycle is d = 0.2.
This implies PRI (between individual pulses, not between pairs): Tr
= 5tp = 130tb. The weight window preceding the DFT was DolphChebyshev with sidelobe level of -62 dB [in MATLAB terminology: chebwin(64,62)].
Figure 2 displays the delay-Doppler response of a matched
filter processor without pulse canceller. The response is given in
dB with a floor of -65 dB. The peak of the response, at the ori-

Figure 1.

(a) ACF of first coded pulse. (b) ACF of second coded pulse. (c) Periodic cross-correlation between the repeated pulse pair and a reference containing
one pair.

MARCH 2017

IEEE A&E SYSTEMS MAGAZINE

41



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