THEORETICAL FUNDAMENTALS OF PULSE TRANSMISSION 



997 



If t is so chosen that a\4 — \p, ^ 0, and the time wilh respect to this 

 \-aUie of t is designated /o , then 



A'(/o) = cos c^sUPih), 

 Q(fo) = sin co./oP(/o). 



(14.02) 



An apphcation of this method to the impulse cluiracteristic shown in 

 Fig. 23 for 6 = 15 radians is ilkistrated in Fig. 4."). 



In order to compare vestigial with double si(lel)and transmission, it 

 suffices to evaluate the in-phase and ([uadrature comi)onents at the 

 sampling instants. With r = 7r/2co,, =1/4/.. , the in-phase and quadrature 

 components at times rnr, for m = ±1, ±2, etc., will be as illustrated 

 in Fiff. 46. 



Fig. 45 — Determination of in-phase and quadrature components of impulse 

 characteristic for vestigial side-band transmission. 



