Graphics Programs Reference
In-Depth Information
12.9.6. Electronic Processing
Consider again the range cell during the subinterval, and the two-
way path: element transmitting and element receiving. The analog
quadrature components corresponding to this two-way path are
k th
m th
n th
n th
s I ⊥
ψ ⊥
(
n 1 n 2 ;
,
)
=
B
cos
(12.95)
s ⊥
(
n 1
,
n 2
;
)
=
B
sin
ψ ⊥
(12.96)
1
--- 2 r
) ô
ψ ⊥
=
2π f 0
t
–
+
(
ô D n 1
(
)
+
r ô D n 2
(
)
+
(
r u
(
D n 1
)
+
r u
(
D n 2
)
) u
+
(12.97)
) ô 2
2
) ô u
-----
(
r ô ô D n 1
(
)
+
r ô ô D n 2
(
)
+
(
r ô u
(
D n 1
)
+
r ô u
(
D n 2
)
+
) s 2
2 r tt t 2
----
(
r ss D n 1
(
)
+
r ss D n 2
(
)
----
+
2 r st st
+
+
) u 2
2
) ô st ]}
(
r uu
(
D n 1
)
+
r uu
(
D n 2
)
-----
+
(
r ô st
(
D n 1
)
+
r ô st
(
D n 2
)
where denotes antenna gain, range attenuation, and scatterers' strengths. The
subscripts for have been dropped for notation simplicity. Rearranging Eq.
(12.97) and collecting terms yields
B
t
2π f 0
c
) ô s
ψ ⊥
=
-----------
{
tc
–
[
2 r st s
+
(
(
D n 1
)
+
r ô st
(
D n 2
)
] t
–
tt t 2
}
–
(12.98)
ô st
) ô
2 r
+
(
ô D n 1
(
)
+
r ô D n 2
(
)
+
(
r u
(
D n 1
)
+
r u
(
D n 2
)
) u
+
) ô 2
2
) u 2
2
-----
-----
(
r uu
(
D n 1
)
+
r uu
(
D n 2
)
+
(
r ô ô D n 1
(
)
+
r ô ô D n 2
(
)
+
) s 2
) ô u ss D n 1
(
r ô u
(
D n 1
)
+
r ô u
(
D n 2
)
+
(
(
)
+
r ss D n 2
(
)
----
After analog to digital (A/D) conversion, deramping of the quadrature compo-
nents to cancel the quadratic phase
(
– π f 0 r tt t 2
⁄
c
)
is performed. Then, the
digital quadrature components are
s I n 1 n 2 ;
(
,
)
=
B
cos
ψ
(12.99)
s Q
(
n 1
,
n 2
;
)
=
B
sin
ψ
(12.100)
Previous Page
Next Page
MATLAB Simulations for Radar Systems Design
Search WWH ::




Custom Search
Home