6th Semester Files

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

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+# 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)
+$y(-1)$