Question

Signals and Systems

ҳL+) 0-1 3 Consider the XLt) signal, Draw the following signals in detalle N 1 G o 1 a) X(t-1) 3 2 b b) [xlt) + x(-1)] Ult) c) X(t) [S(t+Ž) -8(+-+]

Answer 1

Using time shifting, time reversal and time scaling properties, we can solve above questions.

टा Given segnal is 1 x1) 3 2 - 2 3 f a) x(4-1) X(t-1) 3 2 >t 0 2 3 4 At as a time-shifting siqnal by is = [X(t)+ x(t)]u[t) have xlt), Now find X(t) we alsady have X(t), Alt)+36) AX-t) 6 pect) 3 5 + 2 Ly t r 32 2 3 4 -4 3-4 -4 -3 -2 -1 2 3 4 *(-4) is a time reversal signal of X(t) Now, (2ce) + xc-t)Just). Şo. Multiply [2(t) +x€€)] layuet) get (xct)+xEt)) itself embly. North+x6t)] i we G Aucts 5 1 37 st a st 3

2 S Le pud xet) (8 [++2)-8(+-2)] We already have xH), fo. find [s[++ 3)-6(t+)] Slt) 181++372) AS(+-3/2) and Hi 0 ( 3222, 0 -27% Nolo {$(t+212) -8(t-)] ws(++/) s(t-34) ${++35)-8(4-3)2) 2-30 1 3/22 2Fwd ) (++=))-1-31 -1 6F817) Slttya)-0(****) > -1 2 3 > Resultant signal is 8836.) -B6r-442) 3 2 st