Let a discrete random process be defined as Y[n]=2X[n]−4X[n−1], where X[n] is a zero mean WSS process with auto-correlation function RX[k]={…,0,12,1↑,12,0,…}. The average power of the process Y[n] would be _.
Let X1,X2 and X3 be three i.i.d. exponential distributed random variables with parameter λ=1. Let Y1=X1+X2, Y2=X1+X3 and Y3=X2+X3. The probability that {Y1>Y2>Y3} is
Let x[n]={6↑,5,4,3,2,1} and h[n]={1↑,0,0,0,1,0}. Let y1[n] and y2[n] be 6−point and 10−point circular convolutions of x[n] and h[n]. The values of y1[2] and y2[2] respectively are