- #1
Lolsauce
- 23
- 0
Homework Statement
Homework Equations
BIBO stability requires, for every input, that the system output y(n) is:
|y(n)| ≤ By < ∞
Linear time invariant systems are BIBO stable when:
Summation from -∞ to ∞ |h(n)| ≤ Bn < ∞
The Attempt at a Solution
For part a, I got the system was unstable. As n increase the input grows exponentially by a factor of 2. So that means depending on my input x(n) can never be bounded.
Part b, I also got unstable, since the inputs are not bounded. And it may grow exponentially or decrease exponentially depending on x(n).
Part C, it's periodic so it's always unstable
Part D, I got BIBO unstable since the inputs are not bounded. It's the summation from negative infinity to n.
Can anyone help verify my answers? Thank in advance!