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Optimum Receiver Design (Proakis: chapter 8.1, 8.2, 8.3, 8.4) EEE3012 – Spring 2020

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Page 1: Optimum Receiver Design - SKKUclass.icc.skku.ac.kr/~dikim/teaching/3012/notes/EEE3012p...Message signal Source of information Source encoder Source code word Channel Transmitter encoder

Optimum Receiver Design(Proakis: chapter 8.1, 8.2, 8.3, 8.4)

EEE3012 – Spring 2020

Page 2: Optimum Receiver Design - SKKUclass.icc.skku.ac.kr/~dikim/teaching/3012/notes/EEE3012p...Message signal Source of information Source encoder Source code word Channel Transmitter encoder

Digital Communication System

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What is a Design Problem ?

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Noise Model

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Equivalent Vector Channel Model

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cont …

Theorem of Irrelevance:

form sufficient statistics!

1,2,...,'( ) 0,

0k i

i

k KE r n t

t T

|1kr k K

Solar
연필
Solar
연필
Solar
연필
Solar
연필
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MAP Optimum Decision Rule

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mirage
Text Box
Waveform Channel
mirage
Text Box
Vector Channel
mirage
Text Box
= Prob [|r-si|=|n|] !
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
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ML Decision Rule

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Evaluation of Probabilities

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cont …

mirage
Text Box
= exp(-|n|2/No)
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cont …

DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
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Optimum Receiver Structure

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cont …

DONG IN KIM
DONG IN KIM
DONG IN KIM
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cont …

DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
DONG IN KIM
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Key Observations

DONG IN KIM
DONG IN KIM
DONG IN KIM
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Optimum Correlation Receiver

Page 25: Optimum Receiver Design - SKKUclass.icc.skku.ac.kr/~dikim/teaching/3012/notes/EEE3012p...Message signal Source of information Source encoder Source code word Channel Transmitter encoder

Simplified Receiver Cases

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cont …

DONG IN KIM
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Matched Filter Receiver

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cont …

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Example : Receiver Design

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Key Facts

Solar
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