Question

(VI) (5 Points) x(t) For the signal X(t) shown above, sketch the odd component of x(t/2-1)

Answer 1

42CE) we have to first find xlt-1) by time shifting the signal to right by 1 unit and then time scaling it by a factos of Yg to get xlt ) xe (t-1) is delayed version of alt) by & time unit so, aclt-1) 1 2 3t x (t2-1) is time scaled version of a (t-1) by a facter of - scaling by a factor of & will result in expansion of signal ke time coordinate get doubled. qalt) 2 + 1 2 3 4 5 6 t any signal, alt) can be written as - xlt)= (xlt) +x[-1)] + Belt)-X(t)] rei even part No: add partas as XdtJan-t) Nolt) - Rott) Xol*5-1) =L(-1)-1-5-1)] about alt 1) is just flipped version of all vertical axis atlet px (3-1) +2 9 -6 - 4

xo(-1)= X(4-1) - (50] 3x19-) 6 sublac 2 4 11 xe (-t2-1) - 4 - 2 H15) 2 4 6 odd part of a (tg)