100316-lecture11 - EE522 Communications Theory Mar 16 Spring 2010 Instructor Hwang Soo Lee Lecture#11 Probability of Error Calculations for Optimal

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1 EE522 Communications Theory Mar 16, Spring 2010 Instructor: Hwang Soo Lee Lecture #11 – Probability of Error Calculations for Optimal Receivers
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2 Announcements ± HW#4 Due Thursday 3/18 ± Midterm Exam Thursday 3/25, 10:30-13:30 ² Covers material through Thursday 3/18 ² Bring: calculator, one page of notes ± Handout: Lecture notes #11
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3 Modulation ± Modulation is used to transmit digital data over a channel. ± Gramm-Schmidt procedure allows vector representation of any signal constellation. ± Optimal receiver consists of a correlator, weighted to adjust for signal energy and a priori probabilities. ± Receiver implementation can be simplified with reduced correlation and matched filter. ± We now turn to calculating performance.
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Problem Statement ± We transmit a signal , where is nonzero only on . ± Let the various signals be transmitted with probability: ± The received signal is corrupted by noise: ± Given , the receiver forms an estimate of the signal with the goal of minimizing symbol error probability . ) ( t
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This note was uploaded on 11/23/2010 for the course EE EE522 taught by Professor Eeehwangsoo during the Spring '10 term at Korea Advanced Institute of Science and Technology.

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100316-lecture11 - EE522 Communications Theory Mar 16 Spring 2010 Instructor Hwang Soo Lee Lecture#11 Probability of Error Calculations for Optimal

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