INVERSION OF SYNTHETIC APERTUR,E R,ADAR (SAR) - MSpace ...

C. Derivation using the Method of Stationary
Phase
The Fouliel tlansforll of Eq.(3.51) il Section 3.2.3 with r.espect to the azirnuth
¿ can l¡e obtainecl througli tlle rnethod of stationaly phase as follorvs.
The Fouliel transforrn of Ðq.(3.51) is given as
s(k,,t;rt): I u (,
-u, - *) "* {-oT (, -
J\c
#)} "-,n".
a, (c 1)
The lnethocl of stationat.y phase is surnrnarizecl as
I
/(O : J t@) ."v {i(eþ:)} h, € > o
-
"i'
I 2r fllz
¡+
tdt6nl e(26) exp{t{p('o)}
(c.2)
(c..3)
wlrele a6 satisfies p'(xo):0 (Car¡ier et al. [15]).
Comparing Eq.(C..1) rvith Eq.(C..2), we can set
t(¿):ó (,-?,-"\
\ c cn/
p(r): - (T,.+*- -.,)
L*
ç'(¿):fr"+-a¿ '^n
ç"(r\:!
^n
The ø6 satisfyirìg p'(r0) :0 is estimatect frorn Eq.(C..6) such as
Àn.
- 4tr-
(c..4)
(c..5)
(c..6)
(c..7)
(c..8)
178