THEORETICAL FVXDAMEXTALS OF PULSE TRANSMISSION 



J4-) 



mission freqiieiK-y characteristic and 'Jcoi the bandwidth to the point of 

 zero ampU tilde. 



In Fig. 13 is also shown the amphtude characteristic given by (1.08), 

 which Avil) have a hnear phase characteristic in the transmission ])and. 

 i.e. from w = to 2coi . Because of the close approximation of (5.01) to 

 the proper type of amplitude characteristic as regards phase linearity, 

 the phase characteristic associated with (o.Ol) may for practical purposes 

 be regarded as linear. 



For a sjmimetrical band-pass characteristic as shown in Fig. M, the 

 impulse characteristic is given by (4.08) and the envelope by (4.09) 

 with cox = Ws , or 



Pit) = i^ 



sin 2o)Jo 



TV 2w.ai - (2co,./o/7r)2]" 

 The in-phase and quadrature components shown in Fig. 14 with 



(a) 



IMPULSE CHARACTERISTIC 



(b) 



FREQUENCY CHARACTERISTIC 



-0.75 -O.bO -0.25 



0.25 0.50 0.75 



tnfK. 



:2tof, 



Fig. 13 — Low-pass transmission frequency characteristic, 1, and associated 

 iniinilse characteristic. Fre([uency characteristic, 2. is same as shown by solid 

 lines in Fig. .3 and ha.s a linear phase characteristic between w = and wmox . 



