Question

V (a) Let x[n] = {1, 2, 0, 0,4}. What is the energy in x[n]? V (b) Let x[n]={..., 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, .} and V y[n]={---, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2,---}. If g[n]=x[n] + y[n], calculate the average value of g[n] and the average power of x[n], y[n] and g[n]. Consider the periodic signal x[n] = 6 cos(in/2) whose period is N = 4. Calculate the average value and average power of x[n]. (c)

Answer 1

Que Part ② let a finetim + 2000 = 1,2,0,0,4 Energy of function giren by fempi mero 1²+ g²to²+0²-42 ) E 21 Joule Energy, Part(b) in 2ccm): {-,. 1,2,1, 1,2,1,2, - } arg. value B XC02 3 NH Erin) na with a Where Nis period of finition N lang. ang. value of xem ht2 1.5 Power P zl E lacn/? n=N = Q 2 2.5 watt ( 12+2² Powes of acm = 2.5 watt 1,2,2,1,3 3,1, you) نہا average value of yem 7 1 + 2+2 1.667 Power of yen - 1 / 2 3 12 +2²+g² 3 watt et geno xen) + ym) of gam) = arg (xcm) + ang (8cm) avg Value

ang value of geno B gem) = 1.5+ 513 of gen) - axerage value 3.167 part (C) :- a) = 6 cos (10/8) Period is N= = 4, since it i Cosine function, aresage is value of Cosine zero so aresage value Power Elncm] N=N ( (6409 0)*+ (6909*7 (644) Power 구 [ 6²7 6² Power 18 watt