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UH - ECE 3337 - Study Guide - Final

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UH - ECE 3337 - Study Guide - Final

School: University of Houston
Department: Electrical Engineering
Course: signals and system analysis
Professor: rohith Reddy
Term: Fall 2018
Tags: Math, Signals, integral, convolution, and GraphicalConvolution
Name: Final Exam review material
Description: These notes cover most of the material on exams 1 and 2. Be sure to do plenty of practice exams
Uploaded: 12/08/2018
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background image Checking for linearity  • It is often easier to detect when a system is not linear   – To be linear, it has to have both additivity and Scaling   – If the system does not have any one of these properties, we can confidently say that it is not linear   • Example:   – Double the input, and see if the output doubles   -If it does not, then the system is not linear!    Checking for Time Invariance   x1(t)→ y1(t) x2 (t) = x1(t − T )   x2 (t)→ y2 (t)   Is y2 (t) = y1(t − T )?   Example:    • LTI Systems are both linear and Time-invariant   – Superpositon (scaling & additivity), and   – Time invariance   • This combination of properties allows simple analysis of remarkably complex systems   – Non-LTI systems are much harder to analyze  
background image – For this reason, we often approximate non-LTI systems by LTI models so we can analyze them        If we apply the input at t = 0, then the conditions at t = 0 are called the “initial conditions”   • We assumed that the initial response of the LTI system y(0 –) was zero   – If not, and the initial response is known/given, we just need to add it  Response #1: “Anticipates” the impulse!! Non-causal System  Response #2: Happens after the impulse Causal System   An LTI system is causal if h(t) = 0 for t < 0 
background image   When writing formulas for causal signals/ systems, we must multiply by the unit step to ensure that the 
formula works correctly for all t values 
   
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School: University of Houston
Department: Electrical Engineering
Course: signals and system analysis
Professor: rohith Reddy
Term: Fall 2018
Tags: Math, Signals, integral, convolution, and GraphicalConvolution
Name: Final Exam review material
Description: These notes cover most of the material on exams 1 and 2. Be sure to do plenty of practice exams
Uploaded: 12/08/2018
38 Pages 206 Views 164 Unlocks
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  • 24/7 Homework help
  • Notes, Study Guides, Flashcards + More!
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