ECE 280/Fall 2024/Test 2
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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
- Everything on Test 1
- Linear constant-coefficient discrete difference equations
- Linear constant-coefficient differential equations
- Finding difference and differential equations from block diagrams with integral or delay blocks
- 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
- 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
- Maple
- MATLAB
- Correlation
- Sampling and reconstruction
- Communication systems
- Bode Plots
- Laplace Transforms