SWITCHED XETWORK FOK TIME MULTIPLEX SYSTEMS 1415 



C <'R e. 



Fig. 5 — A simple example. 



V, +A 



Fig. 6 ■ — Waveforms of the network of Fig. 5. 



shown on Fig. 6. It is further assumed that the duration r during which 

 the switch is closed is negUgible compared to T, the interval between 

 two successive closures. 



Let 64 be the average value of the steady-state voltage ei{t). Thus Ci 

 is equal to Ao as given by (26) with wo = n = 0, namely, 



_ ^ ^12^(0) So(0) 



64 — -to +00 



2 2 ^(J/^'^s) Soijkcos) 



In this particular case 



Zip) = Zviip) = 



R 



c- 



1 ^pRC ,1 



Since we assume r to be infinitesimal Soip) and Si{p) ma}' be con- 

 sidered equal to unity over the band of interest. Using the expansion 



