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. Linear constant-coefficient differential equations
4. Finding difference and differential equations from block diagrams with integral or delay blocks
5. Fourier Series (Continuous Time)
   • 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 to find formulas for Fourier Series coefficients for periodic signals
6. 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. Correlation
4. Sampling and reconstruction
5. Communication systems
6. Bode Plots
7. Laplace Transforms