Question

(a) Find the correlation coefficient between the reference pulse 8, (t) and each of the other pulses gi(t). (b) If go(t) and one of the other pulses are to be used in a binary communication system, which pulse should be chosen to obtain the best noise immunity? Explain your choice. 8.(1) OS 81(0) 8 1- 0 4 st 2 8(1) 0 8

Answer 1

a) 9.*) 4945 tos (480) (511) 2 4 10,0) (410) 19,44) 2 (412) 9.4) 90.5 -0.5 OLT22 64t48 otherwise @ 2) (ap) (8,0) 9,11) OLTL4 4/A t-4 4 4 Lt 28 924)2 + 2+2 OLT24 + 2 + 4 Lt28 correlation coefficient - - xH)4(H) at 9H4). @ 911-9) has correlation - ó fauogo 9o1499;[+) 8 0.5 9,49dt 0.5 9,"(t)dt 8 't-4 dt 2 dt lo 4 D 16 {(91-4-47] ${4-15-ml)-14- 2 16 Solt) & 9,149 coprelation: 1 9. 419,120 0.532 H)dt 0.592 Hldt so t 7 +4 lat 16 6 +2t -t? 4 +4+ To 1 8 Z To -144-84 28 .4 T6 lohere correlatioo blev 9.44). & 9214) is do 9,14) gott) more toe Choose less correlation signals we choose noise immunity; Scanned with CamScanner

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