Aerospace and Electronic Systems Magazine March 2017 - 45
m
M+
Levanon, Cohen, and Itkin
Figure 9.
The frequency response of the 2-pulse canceller (top), the weighted FFT (middle), and the combined response (bottom), for the first Doppler window.
REDUCING SPECTRAL SIDE LOBES
WHILE MAINTAINING CANCELLED
RANGE SIDE LOBES
We suggest a second version of the
complementary waveform that exhibits more efficient spectrum, with
reduced spectral sidelobes. In that version the rectangular shape of a bit is replaced by a "Gaussian windowed sinc"
(GWS) [6], which extends over 4 bits,
2
2
sin α m
1
4m
4π m
GWS m = exp −
, αm =
,
2 σ ( 4 M + 1) α m
4M + 1
2
m 2 M sin α m
4π m
−42πM
, 1−2M + 41,...,
α mGWS m==exp
m
− ,
, αm =
,
, αmm =
σ ( 4 M + 1) α m
2
4
M +1
4 M + 1
m
(2)
m = −2 M , −2 M + 1,..., 2 M
where M is the number of samples per
code element (bit) and σ is a width parameter chosen as 0.7.
MARCH 2017
Figure 10.
Overall delay-Doppler response. Doppler shift νNTr = 1, 2-pulse canceller, N=64. Zoom on |τ| ≤ tp.
IEEE A&E SYSTEMS MAGAZINE
45
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