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Problem 1 Compute graphically and plot x[n] *h[n] and x[n] *h[n] (convolutions) for (a). Find a...
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...
2.4. Compute and plot y[n] - x[n] * h[n], where x[n] - 0, otherwise 1. 4 sn s 15 0, otherwise h[n] = 2.6. Compute and plot the convolution y[n] - x[n] * h[n], where 2.1. Let x[n] = δ[n] + 2δ[n-1]-δ[n-3] and h[n] = 2δ[n + 1] + 2δ[n-l]. Compute and plot each of the following convolutions: (a) y [n] x[n] * h[n] (c) y3 [n] x[n] * h[n + 2]
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]
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.
Use convolution sum to compute the convolution y[n] = t[n] *h[n]. Show each computation step; use the same notation seen on lecture note exam- ples with series summation and indexes. 4 6 2 + x[1] 4 h[n] 2 -1 2 15 6 72 2 -2 -2 -4 -4 -6 Attach File Browse My Computer Browse Content Collection
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...
1- Compute and plot the output for LTI systems with an input x[n] and unit impulse response of h[n] given by: n a) xn] = () uln], h[n] = u[n + 2] (1, 0sn<8 b) xn= (0, Otherwise ln] : 2, 0sns4 l0, Otherwise
Compute the convolution x[n] *h[n] for x[n] and h[n] shown below. 1. x[n] = (5[n] – 8[n – 1]), h[n] = (0.5)”.[n] 2. x[n] = {1,1,1,1,1}, h[n] = {1, 2, 3} 3. x[n] = u[n – 10), h[n] = cos(n)u[n]
Question 1: Compute graphically the convolution, f(t) fit) f2(t), of the following two time-functions (t) and f2(t). Sketch your final result f(t)· (Hint: To avoid having to do twice as many calculations, you may want to use these properties of convolution: the distributive and the shift properties.) fi(t) f2(t) +3 +4 +5 -1 0 +1 t -1 0
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].