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G./.J.
Overcoupled Shape
COS(N COS-IX), Ixl < I,
TN(x) = { cosh(N cosh-IX), Ixl;;' I.
L(f) = 10 IOglo( I + e2T~:J dB.
Appendix G
(G.7)
(G.B)
. [sinh-I(I/e)] [SN]2
SN=smh N ,BI= l+dlQLN .
I, odd N,
gN+I= ,In[coth(L p /17.37)]
{ coth 4 ,even N.
QL\=gN+I'
Q
LN
F _sinO
[Ii;
p--'
QLN=1.
_ _ (sin O)(sin fO)BI/sin'O
QL,QL(,+ I) = [ 2 ] .
A,+(dIQLN) A, BI+A,A,
(G.9)
(G. 10)
(G.lI)
(G.12)
(G.13)
G./.2.
Maximally Flat Shape
L(f) = 10 lOglO[ 1+ e'( ;pr] dB.
(G.14)
QL\=I=QLN'
_ _ (sin O)sin fO
QL,QL(,+ I) = [A d Q )'A]' '0'
3+( I LN 2 SIn
(G.15)
(G.16)
(G.17)
G./.3.
Undercoupled Shape
L d < 10 loglO[1 + sinh'(0.8814N)J.
q=(IOL,/IO_l)I/2
k= q
sinh(0.8814N)
(G.18)
(G.l9)
(G.20)
F p
Fd = .
sinh{ [sinh I(e/k)]IN}
(G.21)