Use the MATLAB functions filter or conv only to check your results. Plot the seq
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Question
Use the MATLAB functions filter or conv only to check your results. Plot the sequences x[n], y_1[n], and y_2 [n] for 0 lessthanorequalto n lessthanorequalto N -1 on the same plot and comment upon the results. Use function plot and represent each sequence with a dot of different color. Consider the finite duration sequences x[n] = u[n] -u[n-N] and h[n] = n(u[n]- u[n-M]), M lessthanorequalto N. Find an analytical expression for the sequence y[n] = h[n]astir x[n] Verify the result in (a) for N = 10 and M = 5 using y convolution (h, x). Repeat Example 2.6 assuming that M > N. Determine the convolution y[n] = h[n] astir x[n] of the following sequences x[n] =a^nu[n], h[n] = b^nu[n] for a notequalto b and verify the result with MATLAB using a =1/4 and b=1/3. Determine y[n] analytically and plot using MATLAB. Take first 50 samples of x[n] and h[n]. Compute and plot y[n] using the convolution function. Using the filter function, determine and plot the first 99 samples of y[n]. Which of the outputs in (b) and (c) come close to that in (a)? Explain. The properties of convolution are given in Table 2.3. Verify these properties using MATLAB on the following signals:Explanation / Answer
Example 1
A sequence in which all pairs of successive terms have a common difference is called an arithmetic finite sequence. Find the common difference in the following arithmetic finite sequence:
2, 7, 12, 17, …, 47
The first four terms of the sequence show that the common difference is 5. In other words, we can add 5 to any term in the sequence to get the next term in the sequence
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