Graphics Programs Reference
In-Depth Information
) 2
χτ f d
(
;
f d
τ
(
00
,
)
Figure 4.1. Ideal ambiguity function.
1
τ'
t
τ'

------- Rect
-- 
s ()
=
(4.8)
From Eq. (4.1) we have
) e j f d t
s () s t
χτ f d
(
;
)
=
(
–
τ
d
t
(4.9)
–
Substituting Eq. (4.8) into Eq. (4.9) and performing the integration yield
sin
π f d
(
π f d
(
τ'
–
τ
)
)
2
τ
τ'
) 2
χτ f d
(
;
=
1
–
-----
----------------------------------------
τ '
(4.10)
(
τ'
–
τ
)
MATLAB Function Ðsingle_pulse_ambg.mÑ
The function Ðsingle_pulse_ambg.mÑ implements Eq. (4.10). It is given in
Listing 4.1 in Section 4.6. The syntax is as follows:
single_pulse_ambg [taup]
taup is the pulsewidth. Fig 4.2 ( a-d) show 3-D and contour plots of single pulse
uncertainty and ambiguity functions. These plots can be reproduced using
MATLAB program Ðfig4_2.mÑ given in Listing 4.2 in Section 4.6.
The ambiguity function cut along the time delay axis
τ
is obtained by setting
f d
=
0
. More precisely,
2
τ
τ'
) 2
χτ0
(
;
=
1
–
-----
τ '
(4.11)
 
 
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