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Unformatted text preview: The Probability Model Professor Dilip V. Sarwate Department of Electrical and Computer Engineering © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign. All Rights Reserved ECE 313 Probability with Engineering Applications ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 2 of 30 Review of Lecture #1 Intuitive ideas of probability and statistics were introduced Various approaches to probability were described briefly The notion of statistical inference was introduced But what does all this have to do with electrical and computer engineering? ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 3 of 30 Probability in Physics MaxwellBoltzmann kinetic theory of gases Motion of gas molecules is random Gas laws can be deduced from the aggregate behavior of many molecules Statistical mechanics Quantum mechanics At the atomic level, physical phenomena can only be described probabilistically ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 4 of 30 Probability in Physics Quantum mechanical view of probability is somewhat different Semiconductor physics and electronics Electron clouds: FermiDirac statistics instead of MaxwellBoltzmann statistics Many practical devices in use these days are designed to make use of quantummechanical effects ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 5 of 30 Probability in Engineering Thermal noise in electrical circuits Detection of weak radio and radar signals Information theory Communication systems design Reliability of systems Failure probabilities Failure rates Mean time to failure ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 6 of 30 Probability in Engineering Networks and Systems Problems Random arrivals of packets/jobs Random lengths/service times Random requests for resources Probability of buffer or queue overﬂow Transmission or service delays Scheduling problems, priorities, QoS Flow control and routing ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 7 of 30 Probability in Engineering So many problems, so little time … In this course, we emphasize the basic science and math Applications are generally found in the examples, and use oversimpliFed models You need to take followon courses to gain better understanding of where and how probability is used in engineering ECE 313  Lecture 2 © 2000 Dilip V. Sarwate, University of Illinois at UrbanaChampaign, All Rights Reserved Slide 8 of 30 Experiments and Trials Fundamental notion: An experiment is performed and its...
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This note was uploaded on 09/29/2009 for the course ECE 123 taught by Professor Mr.pil during the Spring '09 term at University of Iowa.
 Spring '09
 mr.pil

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