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interxavier
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Homework Statement
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.
Homework Equations
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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