Natural Frequencies

The questions below are due on Friday February 14, 2025; 10:00:00 AM.

You are not logged in.
Please Log In for full access to the web site.
Note that this link will take you to an external site (https://shimmer.mit.edu) to authenticate, and then you will be redirected back to this page.

You are viewing the 6.3100 Spring 2025 web site. Please note that information on this page may change throughout the semester, please check back frequently.

For the following problems, assume that $y [n] = α_{1} y [n - 1]$ 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

α_{1} > 0

For which plots above is

| α_{1} | < 1

For which plots above is

α_{1} < - 1

For which plots above is

α_{1} > 1

Suppose that y[0] = 1. For what range of positive values of $α_{1}$ could $1 \geq y [100] > 0.9$ ?

α_{1} \leq

α_{1} >

Suppose that y[0] = 1. For what range of positive values of $α_{1}$ could $1 \leq y [100] < 1.1$ ?

α_{1} \geq

α_{1} <