DELA Y EQUALIZA TION OF CARRIER CIRCUITS 195 



Substituting ju for p and differentiating with respect to co, we obtain 



dA , .dB . 2ir sinh 27r^„/a ,..^ 



-4- f =: 1 V 1 1 / 



do3 d(j) a cosh lirkn/a -\- cos 2iroi/a 



from which dA/dia is zero. Equation (11) may be written 



dB 27r ,.,„,, V / 1 \ 



= — ■ (tanh l-wkn/a) 



doi a " I 1 I ^®s 2Tro}/a I (12) 



\ cosh 27r^„/c/ 



which, when expanded, gives equation (4). 



References 



1. "Wave Transmission Network," H. W. Bode, United States patent 2,342, 638. 



2. "Network Analysis and Feedback Amplitier Design" (l)ook) Chapter 11, H. W. Bode, 



D. Van Nostrand Co., Inc., New York, N. Y., 1945. 



3. Reference 2, Chapter 14. 



4. "Network Theory Comes of Age," R. L. Dietzold, Electrical Engineering, Volume 67, 



Number 9, September 1948, page 898. 



5. "A Carrier System for 8000-cycle Program Transmission," R. A. Leconte, D. B. 



Penick, C. W. Schramm, A. J. Wier. A companion paper. This issue of BSTJ. 



6. "Band Pass Filter, Band Elimination Filter and Phase Simulating Network for Carrier 



Program Systems," F. S. Farkas, F. J. Hallenbeck, F. E. Stehlik. A companion 

 paper. This issue of BSTJ. 



