(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the following system:

[tex]s[n] = (\frac{1}{4})^{n}u[n+10]u[n] [/tex]

Prove if this is a stable or unstable system.

2. Relevant equations

3. The attempt at a solution

I know that in order for a system to be stable, the input must be bounded in order for the output to be bounded. For example,

[tex] x[n] \leq B_{x} [/tex]

[tex]y[n] \leq B_{y} [/tex]

[tex]So, y[n] = \sum_{k = 0}^{\infty}x[n]h[n][/tex]

[tex]y[n] = \sum_{k = 0}^{\infty}B_{x}h[n] = B_{y}[/tex]

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# Homework Help: How do I know if this discrete-time system is stable?

Can you offer guidance or do you also need help?

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