




2.4. Compute and plot y[n] - x[n] * h[n], where x[n] - 0, otherwise 1. 4...
Problem: Let x[n] = δ[n] + 2δ[n-1] - δ[n-2] and h[n] = u[n] – u[n-4] – 2.δ[n-1]. Compute and plot the following convolutions. If you use the analytical form of the convolution equation to solve, verify your answer with the graphical method. a. y1[n] = x[n]*h[n] b. y2[n] = x[n]*h[n+1] c. y3[n] = x[n-1]*h[n]
PROBLEM 3 Let x[n] = δ[n] + 2δ[n-1]-δ[n-3] and h[n] = 2δ[n + 1] + 2δ[n-1]. Complete and plot the convolution y[n] = x[n] * h[n].
Problem 1 Compute graphically and plot x[n] *h[n] and x[n] *h[n] (convolutions) for (a). Find a way to derive x[n] *h[n] and x[n] * ñ[n] for (b) without any computation, by using your result of (a) and the properties of convolution. State which property you use. 0 1 2 3 4 5 6 | * 3-2-10 1 2 3 Notation: In the following problems, x[n]={a.b.c) means that_x[-1)=a, x[0]=b, x[1]=c and x[n]=0 otherwise.
ЕЕ306 HW2 Problem 1 Compute graphically and plot x[n] * h[n] and x[n] * h[n] (convolutions) for (a). Find a way to derive x[n] h[n] and x[n] * h[n] for (b) without any computation, by using your result of (a) and the properties of convolution. State which property you use. 0 1 23 0123456 n (a) hpl 3-2-10 1 23 2 3 45 (b) Notation: In the following problems, x[n]={a, b,c} means thatx[-11-a, x[0]=b , x[1]=c and x[n]=0 otherwise. Problem...
2(a). Compute and plot the convolution of ytryh)x where h(t) t)-u(t-4), x(t)u(t)-u(t-1) and zero else b). Compute and plot the convolution y(n) h(n)*x (n) where h(n)-1, for 0Sns4, x(n) 1, n 0, 1 and zero else.
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum.
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...
Fix A and α > 0 and let h(x ) = Ae-oz for x > 0 and 0 otherwise (a) Compute h(k). (b) Let f(x)-(sin5x +sin 3x+sin x +sin 40) for 0 π and 0 otherwise. Comipute f(k). x (c) Plot h * f(x) for 0 Discuss. x π and find interesting values of A ard a
Fix A and α > 0 and let h(x ) = Ae-oz for x > 0 and 0 otherwise (a) Compute h(k). (b)...
Compute the convolution using the CONVOLUTIONAL SUM
method
Problem 2.19. Compute the convolution y(n) of the signals -3< < 1 (n) = Ja". 0 . Otherwise hin) = w Si, 0<n<4 0 otherwise where a is a given parameter.
Determine and plot the autocorrelation function rxx[l] of the
signal 1, 0≤n≤N−1
x[n] = 0, otherwise .
Determine and plot the autocorrelation function r] of the signal x[n] = 0, otherwise
x[n] = 9n u[n] h[n] = -7n u[n] Compute the convolution y[n]=x[n]∗h[n]. Choose the answer below which corresponds to {y[0],y[1],y[2],y[3]}