High Resolution Tactical Synthetic Aperture Radar (TSAR) - MATLAB Simulations for Radar Systems Design - page 616



h h

   

β ∗ r uu = -- ----------------- -- ----------------- ( h tan β k – D n cos ) +



(12.130)

   

r cos 3 β k r 2 cos β k





1

   

--------------

β ∗

h + 2 tan β k sin β k – 2 sin β k D n cos



   

cos β k



3
r 3

1
r 2

 hD n  hD n

β ∗ β ∗

-- -  -- - 

) 2 r ô ô ô = ( + sin ) ( + sin – 1

(12.131)

h –

r 2

3

 

- -- --   hD n β ∗ β ∗

r ô ô u = -- ------------------- ( h tan β k – D n cos ) ( + sin ) 2 + 1

(12.132)

 

r 3 cos 2 β k

hv tan

r 3

β k

 

β ∗

-------- - -----------

r ô st = ( hD n + sin )

(12.133)

 

 h 2

–
r 5

3

 

β ∗ β ∗

- -- --  ----------------

r ô uu = ( hD n + sin ) h ( tan β k – D n cos ) (12.134)

 

cos 4 β k

–
r 3

1

 h

β ∗ β ∗

- -- -- 

r ô ss = ( tan β k – D n cos ) hD n ( + sin )

(12.135)

h 1

r 2

   h

β ∗ β ∗

-- ----------------- -- - 

r uss = ( D n cos ) ( tan β k – D n cos ) h ( tan β k ) + 1 (12.136)

 

r cos 2 β k

–
r 3

h tan β k

 

β ∗

-- -------------------

r stu = ( h tan β k – D n cos )

(12.137)

 

cos 2 β k

β ∗ hD n cos h tan

r 2

β k

   

β ∗

------------------------- ------ -- ---------

r suu = ( h tan β k – D n cos ) + 1

(12.138)

   

r cos 2 β k

v 2 h

 

-- -------------------

β ∗ r ô tt = ( h tan β k – D n cos )

(12.139)

 

r 3 cos 2 β k

r uuu =

(12.140)

h

 

β ∗ β ∗

-- ----------------- [ 8 h tan β k + sin 2 β k ( hD n – cos ) – 2 D n cos ] +

 

r cos 4 β k

3 h 2 3 h 2

   

β ∗ β ∗

-- ------------------- -- -------------------

( h tan β k – D n cos ) + ( h tan β k – D n cos )

   

r 3 cos 5 β k r 3 cos 5 β k

3 h 3

1

   

β ∗

-- -------------------

β ∗

----------------- + ( h tan β k – D n cos ) + ( h tan β k – D n cos )

   

2 cos β k r 5 cos 6 β k