Given the following discrete-time functions x[n] and h[n]: 8[n+ 1] 28[n] +38[n 1]-48[n- 2] + 28[n-4]...

 

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Given the following discrete-time functions x[n] and h[n]: 8[n+ 1] 28[n] +38[n 1]-48[n- 2] + 28[n-4] + 8[n-5] h[n] = 38[n] -28[n 1] + 8[n-2] -28[n-3] + 8[n- 4]-48[n-6] +38[n-8] Use MATLAB to complete the following and provide MATLAB code for each task: Task 1 (10 points each): A. Express x[n] and h[n] as matrices. B. Find the length of x[n] and length of h[n]. x[n] = V C. What do you expect the length of the convolution of x[n] and h[n] to be? D. Manually (analytically) calculate y[n] = x[n] *h[n] using any of the preferred methods. Task 2 (20 points each): A. Write MATLAB code to find the convolution y[n] of x[n] and h[n] without using the built-in conv(x.h) function. (Tip: You will need to use nested (for loops) to accomplish this task.) B. Plot y[n], x[n], and h[n] in a single window using the subplot command. Your plots should have the proper horizontal axis definition for each function. For example, when plotting x[n], use the stem function as follows: stem([-1:5], x) since the domain of x[n] starts from-1 and ends at +5. C. Verify your results by the conv(x.h) command and plot the result. Compare it to your analytical solution in ID and your results in 2B. Given the following discrete-time functions x[n] and h[n]: 8[n+ 1] 28[n] +38[n 1]-48[n- 2] + 28[n-4] + 8[n-5] h[n] = 38[n] -28[n 1] + 8[n-2] -28[n-3] + 8[n- 4]-48[n-6] +38[n-8] Use MATLAB to complete the following and provide MATLAB code for each task: Task 1 (10 points each): A. Express x[n] and h[n] as matrices. B. Find the length of x[n] and length of h[n]. x[n] = V C. What do you expect the length of the convolution of x[n] and h[n] to be? D. Manually (analytically) calculate y[n] = x[n] *h[n] using any of the preferred methods. Task 2 (20 points each): A. Write MATLAB code to find the convolution y[n] of x[n] and h[n] without using the built-in conv(x.h) function. (Tip: You will need to use nested (for loops) to accomplish this task.) B. Plot y[n], x[n], and h[n] in a single window using the subplot command. Your plots should have the proper horizontal axis definition for each function. For example, when plotting x[n], use the stem function as follows: stem([-1:5], x) since the domain of x[n] starts from-1 and ends at +5. C. Verify your results by the conv(x.h) command and plot the result. Compare it to your analytical solution in ID and your results in 2B.

Answer rating: 100% (QA)

A Express xn and hn as matrices xn 8n128n 38n148n2 28n48n5 x n 8 28 38 48 28 8 0 0 0 0 hn 38n28n15n228n35n448n6 38n8 hn 38 28 5 28 5 48 0 0 38 0 0 B F... View the full answer