Determine y(n) analytically. Plot first 51 samples of y(n) using the stem function.

Let x(n) = (0.8)nu(n), h(n)=(-0.9)nu(n), and y(n) = h(n) * x(n). Use 3 columns and 1 row of subplots for the following parts.

1. Determine y(n) analytically. Plot first 51 samples of y(n) using the stem function.

2. Truncate x(n) and h(n) to 26 samples. Use conv function to compute y(n). Plot y(n) using the stem function. Compare your results with those of part 1.

3. Using the filter function, determine the first 51 samples of x(n) * h(n). Plot y(n) using the stem function. Compare your results with those of parts 1 and 2.

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