BAND WIDTH AND TILINSMISSION PERFORMANCE 



587 



If the pulses do not overlap, we take the origin of time midway between 

 pulses and write 



<^(/) - 0(/ - t) 



T/3 



-1 - ± </<-^- ^ 



Fh' 2Nfr 2 Fh 





1 1 - ^ < / < ^_ - i 

 F,'F\ 2 2 F, 



(44) 



-/ + 



2 ttFi 



sin TrFh ( / 



1 r 1 



T.<'-2<F, 





If the pulses overlap, we also take the origin midway between pulses, but 

 we then obtain 



0(/) - <t>{l - t) 



TTiS 



-1 -^<,<-r-i 



t\ • 2NJ, 2 Fi 



1,2. FbT ^ T 



In bolh cases the right-liaiul members are even functions of t. 

 Hence 



^ < / < r - ^ i (45) 



Vb I 



sm 



[(^(/) - 0(; - r) - e] = S 7i,„ cos ImirXfrt 



(46) 



