Rowan-Classes/6th-Semester-Spring-2024/DSP/PracticeProblems/q1_practice.md

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)