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
2π
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]
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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