Natural Frequencies
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For the following problems, assume that y[n] = \alpha_1 y[n-1] and consider the following stem plots of the sequence y[n].
If the answer is a single plot, enter the letter of that plot. If the answer includes multiple plots, enter the letters of those plots in sequence: i.e., to select plots A and B enter AB.
For which plots above is \alpha_1 > 0?
For which plots above is |\alpha_1| < 1?
For which plots above is \alpha_1 < -1?
For which plots above is \alpha_1 > 1?
Suppose that y[0] = 1. For what range of positive values of \alpha_1 could 1\ge y[100] > 0.9?
\alpha_1 \le
\alpha_1 >
Suppose that y[0] = 1. For what range of positive values of \alpha_1 could 1\le y[100] < 1.1?
\alpha_1 \ge
\alpha_1 <