Natural Frequencies

The questions below are due on Thursday February 16, 2023; 11:59:00 PM.

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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].

Enter the letters of the approprate plots as a python string. To select plots A and B enter A,B.

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 <