ECE 4330

Linear Systems and Signals

 

(4 cr.hr.) Prereq: ECE 3330; prereq or coreq: ECE 3040. Open only to students enrolled in professional engineering programs. Continuous-time and discrete-time linear systems and signals. Properties of linear systems. Classical analysis methods and convolution. System analysis method for zero-state and zero-input response. Laplace transform and its application to linear system analysis. Fourier series expansion of periodic signals and application to ac steady-state analysis. Fourier transform and its applications. Analog filters, control and communication systems applications. Solution of linear difference equations.  Z-transform and its application to discrete-time linear system analysis. Sampling theory. Discrete-time Fourier transform and its application to digital filter design. (T)

 

NEWS!

Academic Misconduct: What every student should know

Study Tips

 

Syllabus

 

Academic Calendar

 Highlights

 Lecture Notes

 

Text Cross-Reference

 

Test Your Understanding

 

Laplace Transform Tutorial

Wolfram Alpha:

Online Math Solver

Numerical Methods

Partial Fraction Expansion

Transforms Calculator

 

Recommended Reading

On pi, e and i

Laplace Transform History

Study Session Videos

 

 

Absence

  

 

  

Filter Frequency Response

DEMO

 

Mathcad worksheets

Matlab Examples

Trigonometric F.S. Circuit Analysis

Exponential F.S. Circuit Analysis

Mathcad-Based Circuit Analysis Examples

 

Lathi’s Matlab .m Files

Summary Table

Transform Tables/Properties:

Properties of the unit-impulse

Defining the unit-impulse in Mathcad

Expressing functions with unit-steps

Convolution Table (properties)

Fourier Series: 1  2

Fourier Series Table

Fourier Pairs  Fourier Properties

s_Domain_Circuit_Models

Laplace Pairs  Laplace Properties

Expanded Laplace Pairs Table

Z Pairs  Z Properties

Convolution Table (discrete)

DTFT Pairs     DTFT Properties

Practical Signal Sampling

Impulse-Invariance Mapping

Butterworth Filter Coefficients Table

 

MATH TABLES

Complex Numbers

Unit Circle & Angles

Trigonometric Identities (1)

Trigonometric Identities (2)

Power Series

Pade’ approx. of e^x

Derivatives Table

Integration Table

Series for pi  (Explicit)

Convergent Series 1  Convergent Series 2

Limits

Miscellaneous

 

Time-Domain Circuit  Analysis:

Time-domain

s-Domain

 

Download Mathcad 2001

Instructions

Mathcad Tutorial

Mathcad Basics Video

Mathcad User's Guide

 

Download Multisim Student Version

(You should already have done it in ECE 3300)

 

Analog Filter Design for Matlab

AFD Tutorial

 

  

Matlab Math Worksheets

Matlab General Primer

Matlab Signals Primer

 

Introduction to Simulink 1

Introduction to Simulink 2

 

 

 

 


 

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