FOUR-PORT CONVERSIONS BETWEEN T-AND S -PARAMETERS - Advanced Signal Integrity for High-Speed Digital Design - page 636

t 21

s 41 =

t 12 t 21 − t 11 t 22

t 13 t 22 t 31 − t 12 t 23 t 31 − t 13 t 21 t 32 + t 11 t 23 t 32 + t 12 t 21 t 33 − t 11 t 22 t 33

s 12 =

t 12 t 21 − t 11 t 22

t 13 t 22 − t 12 t 23

s 22 =

t 12 t 21 − t 11 t 22

t 13 t 22 t 41 − t 12 t 23 t 41 − t 13 t 21 t 42 + t 11 t 23 t 42 + t 12 t 21 t 43 − t 11 t 22 t 43

s 32 =

t 12 t 21 − t 11 t 22

− t 11 t 23
− t 12 t 21

t 13 t 21

=

s 42

+ t 11 t 22

t 12 t 31 − t 11 t 32

s 13 =

t 12 t 21 − t 11 t 22

t 12

s 23 =

t 12 t 21 − t 11 t 22

t 12 t 41 − t 11 t 42

=

s 33

t 12 t 21 − t 11 t 22

t 11
− t 12 t 21

s 43 =

+ t 11 t 22

t 14 t 22 t 31 − t 12 t 24 t 31 − t 14 t 21 t 32 + t 11 t 24 t 32 + t 12 t 21 t 34 − t 11 t 22 t 34

s 14 =

t 12 t 21 − t 11 t 22

t 14 t 22 − t 12 t 24

s 24 =

t 12 t 21 − t 11 t 22

t 14 t 22 t 41 − t 12 t 24 t 41 − t 14 t 21 t 42 + t 11 t 24 t 42 + t 12 t 21 t 44 − t 11 t 22 t 44

s 34 =

t 12 t 21 − t 11 t 22

− t 11 t 24
− t 12 t 21

t 14 t 21

s 44 =

+ t 11 t 22

S-to-T Conversions

s 43
− s 23 s 41

t 11 =

+ s 21 s 43

s 41

t 21 =

s 23 s 41 − s 21 s 43

s 13 s 41 − s 11 s 43

t 31 =

s 23 s 41 − s 21 s 43

s 33 s 41 − s 31 s 43

t 41 =

s 23 s 41 − s 21 s 43