express this condition in terms of other parameters. It can also be shown that but

[g] = [h]−1

(18.42)

[t] "= [T]−1

(18.43)

TABLE 18.1 Conversion of two-port parameters. z z

− h − g

T

t

z11

z12

z21

z22

y22 !y

h −

y12 !y

g

g21 g11

!g g11

1 C

D C

!t c

a c

!g g22

g12 g22

D B

!T B

a b

g21 g22

1 g22

h12 h11

1 h11

z21 !z

z11 !z

y21

y22

h21 h11

!h h11

!z z22

z12 z22

1 y11

y12 y11

h11

h12

z21 z22

1 z22

y21 y11

!y y11

h21

h22

z12 z11

!y y22

y12 y22

h22 !h

y21 y22

1 y22

−

1 c

1 h22

y12

1 z11

d c

h21 h22

y11

−

!T C

1 g11

z12 !z

−

−

−

−

g22 !g

−

−

−

g12 !g

A B

B D 1 D

−

1 d

!t d

−

b d

B A

h11 h21 1 − h21

1 g21 g11 g21

g22 g21 !g g21

A

B

C

D

−

y11 y12

−

1 y12

1 h12

h11 h12

−

!g g12

−

g22 g12

D !T

1 z12

z11 z12

−

!y y12

−

y22 y12

h22 h12

!h h12

−

g11 g12

−

1 g12

C !T

!g = g11 g22 − g12 g21 ,

c d

1 A

!z z12

!y = y11 y22 − y12 y21 ,

!T A

g22

z22 z12

!h = h11 h22 − h12 h21 ,

c a

g21

y22 y21 !y − y21

!z = z11 z22 − z12 z21 ,

!t a

h11 !h

!z z21 z22 z21

!h h21 h22 − h21

C D

C A

h21 !h

−

1 a

g12

z11 z21 1 z21

1 y21 y11 − y21

b a

g11

−

−

!T D

h12 !h

−

−

−

1 b d b

g11 !g

−

−

!t b

g21 !g

−

!z z11

−

−

1 B

z21 z11

−

t

A C

h12 h22

y11 !y

−

T g12 g11

!h h22

y21 !y

z22 !z

y

y

−

d !t c !t

b !t a !t

B !T

a

b

A !T

c

d

!T = AD − BC !t = ad − bc

Tomado de "Fundamentals of Electric Circuits", Alexander y Sadiku