ECE 280/Fall 2024/Test 2

This page lists the topics covered on the second test for ECE 280 Fall 2024. This will cover everything through Homework 7 and all lecture material through Fourier Transform analysis. There are sample tests for Dr. G at Test Bank.

Test II Coverage

1. Everything on Test 1
2. Linear constant-coefficient discrete difference equations
3. Fourier Series (Continuous Time only)
   • Know the synthesis and analysis equations
   • Be able to set up integrals or summations to determine \(x(t)\) or \(X[k]\) for periodic signals
   • Know how to find the actual Fourier Series coefficients for periodic signals made up of cos and sin
   • Be able to use the Fourier Series and Fourier Series Property tables
4. Fourier Transform (Continuous Time)
   • Know the synthesis and analysis equations
   • Be able to set up integrals or summations to determine \(x(t)\) or \(X(j\omega)\) for signals that have Fourier Transforms
   • Be able to use the Fourier Transform and Fourier Transform Property tables, including figuring out necessary adjustments to make things work for the tables
   • Be able to use partial fraction expansion for inverse Fourier Transforms
   • Be able to use Fourier Transforms to find zero-state solutions to differential equations
   • Be able to find a transfer function, step response, and impulse response from a differential equation
   • Be able to find a differential equation from a transfer function, step response, or impulse response

Equation Sheet

See Canvas

Specifically Not On The Test

1. Maple
2. MATLAB
3. Sampling and reconstruction
4. Communication systems
5. Laplace Transforms