Final answer:
To compute the convolution of two sequences, rewrite them in terms of their indexes, find values for a range of n, multiply corresponding terms, and take the sum. Plot the resulting sequence.
Step-by-step explanation:
To compute the convolution of two sequences, we need to take the sum of the products of corresponding terms. First, we'll rewrite the sequences in terms of their indexes.
The given sequences are x[n] = (1/3)⁻ⁿ u[-n--1] and h[n] = u[n-1]. Next, we'll find the values of x[n] and h[n] for a range of n values. Then, we'll multiply the corresponding terms of x[n] and h[n], and finally, take the sum of these products to compute the convolution.
For example, if we take n = 0, x[0] = (1/3)⁰ u[-0--1] = 1 * u[1] = 1 * 1 = 1. Similarly, h[0] = u[0-1] = u[-1] = 0 (as the unit step function is 0 for negative arguments). We can compute x[n] and h[n] for other values of n and multiply the corresponding terms to find the convolution.
Finally, we can plot the resulting convolution sequence.