# Quiz 1 Preparation - Aidan Sharpe
## Question 1
Find the energy and average power of $x(n) = e^{j 2\pi n / 3}$

Energy of x[n]: Infinity
Power of x[n]: 1.0
## Question 2
Is $x(n - \pi)$ a valid discrete signal? 

No
## Question 3
Consider the system $y[n] = S[x[n]] = e^{n+3}\cos(n-5)x[n-4]$. Is the system linear, time-invariant, causal, and BIBO stable?

Homogeneous: True 

Superposition: True 

## Quesiton 4
Consider the LTI sstem with impulse response $h[n] = u[n]$. If the input x[n] = n (0.3)^n u[n]$ and the output is $y[n]$, calculate:
### a)
$y(-1)$