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

EEE3012 – Spring 2020

Digital Communication System

What is a Design Problem ?

Noise Model

Equivalent Vector Channel Model

cont …

Theorem of Irrelevance:

form sufficient statistics!

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

0k i

k KE r n t

t T

|1kr k K

Solar

연필

Solar

연필

Solar

연필

Solar

연필

cont …

MAP Optimum Decision Rule

mirage

Text Box

Waveform Channel

mirage

Text Box

Vector Channel

mirage

Text Box

= Prob [|r-si|=|n|] !

DONG IN KIM

ML Decision Rule

Evaluation of Probabilities

cont …

mirage

Text Box

= exp(-|n|2/No)

cont …

DONG IN KIM

Optimum Receiver Structure

cont …

DONG IN KIM

cont …

DONG IN KIM

Key Observations

DONG IN KIM

Optimum Correlation Receiver

Simplified Receiver Cases

cont …

DONG IN KIM

Matched Filter Receiver

cont …

Example : Receiver Design

cont …

Key Facts

Solar

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