THEORY AND DESIGN OF WAVE-FILTERS 



45 



APPENDIX III 



Equivalent Networks and Transformation Formulae 

 Transformation A 



AAAA/ 



Z 2 



dZ, 

 A/WV 



aZ, 



AAMr 



bZ, 



L -AA/W 



cZ 2 



V\AA^ 



Equivalent when 



b = a(l+a), c=(l+a) 2 , d=l+a. 



Transformation B 



A/WV 



aZ, 



Z 



vA/V 



rWWi 

 bZ i 



A/VW 



dZ, 

 'WVv- 



1+a' 



C Z 2 



Equivalent when 



1+fl 



Transformation C 



a Z 



bZ 



V 



cZ. 



'WW 

 eZ, 



L AA/ 



YM WW 



dZ 2 



w 



rz 2 



Equivalent when 



c = 



7V(M+AQ 

 AT+JV-2&' 



N(M-N) 



6 N-M+2b' 



M=l+a + b, 



d = 



f = 



2bN 



M+N-2b 

 2bN 



N-M+2b 

 N=\ / {l+a + b) 2 -±ab. 



