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A New Trade-off Scheme for MIMO OFDM-based Cognitive Radio Systems over Correlated Fading Channels 1 1: Makan Zamanipour IEEE Member Tehran, Iran 2: Saeed Mashhadi Sharif University of Technology Tehran, Iran 17 th FRUCT: 20-24 April, 2015, Yaroslavl

A New Trade-off Scheme for MIMO OFDM-based Cognitive Radio ... · PDF fileA New Trade-off Scheme for MIMO OFDM-based Cognitive Radio Systems over Correlated Fading Channels 1 1: Makan

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Page 1: A New Trade-off Scheme for MIMO OFDM-based Cognitive Radio ... · PDF fileA New Trade-off Scheme for MIMO OFDM-based Cognitive Radio Systems over Correlated Fading Channels 1 1: Makan

A New Trade-off Scheme for MIMO

OFDM-based Cognitive Radio

Systems over Correlated Fading Channels

1

1: Makan Zamanipour

IEEE Member Tehran, Iran

2: Saeed Mashhadi

Sharif University of Technology Tehran, Iran

17th FRUCT: 20-24 April, 2015, Yaroslavl

Page 2: A New Trade-off Scheme for MIMO OFDM-based Cognitive Radio ... · PDF fileA New Trade-off Scheme for MIMO OFDM-based Cognitive Radio Systems over Correlated Fading Channels 1 1: Makan

Preface

Introduction Assumptions

Correlated MIMO Channels

Challenges/Motivations

Trade-off Scheme Network Model

Problem Formulation System Model

OSTFB Coding in MIMO OFDM Scheme

Optimization Problem

Robust Beamforming

Results

17th FRUCT: 20-24 April, 2015, Yaroslavl 2

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Introduction Assumptions

Channels: Quasi Static Rayleigh

Frequency Selective Fading

Domain: Frequency

Cognitive Radio: Underlay Scenario

Transmit-receive Scenario: Down-link Multi-user Scenario

17th FRUCT: 20-24 April, 2015, Yaroslavl 3

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Antenna Distance Carrier Frequency ...... 2

d

Transmit-Angle Spread

17th FRUCT: 20-24 April, 2015, Yaroslavl 4

Introduction Correlated MIMO Channels

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Introduction Challenge/Motivation

17th FRUCT: 20-24 April, 2015, Yaroslavl 5

Kronecker Model:

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Introduction Challenge/Motivation

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Introduction Challenge/Motivation

Solution: Pre-coding/Post-coding

17th FRUCT: 20-24 April, 2015, Yaroslavl 6

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Introduction Challenge/Motivation

Solution: Pre-coding/Post-coding

17th FRUCT: 20-24 April, 2015, Yaroslavl 6

Yes No

Effect

on

SNR

Effect

on

SNR

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17th FRUCT: 20-24 April, 2015, Yaroslavl 7

Trade-off Scheme Network Model

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17th FRUCT: 20-24 April, 2015, Yaroslavl 7

Trade-off Scheme Network Model

Small Eigen-values

OSTFBCs

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17th FRUCT: 20-24 April, 2015, Yaroslavl 7

Trade-off Scheme Network Model

Small Eigen-values

OSTFBCs

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17th FRUCT: 20-24 April, 2015, Yaroslavl 7

Trade-off Scheme Network Model

Secrecy: Probability of Eavesdropping

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Problem Formulation System Model

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17th FRUCT: 20-24 April, 2015, Yaroslavl 9

Problem Formulation OSTFB Coding

Frequency Selective Fading Channels

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Problem Formulation Optimization Problem

17th FRUCT: 20-24 April, 2015, Yaroslavl 10

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Problem Formulation Optimization Problem

17th FRUCT: 20-24 April, 2015, Yaroslavl 10

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Problem Formulation Optimization Problem

17th FRUCT: 20-24 April, 2015, Yaroslavl 10

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17th FRUCT: 20-24 April, 2015, Yaroslavl 11

Problem Formulation Optimization Problem

Decrease in Search Region

Small Eigen-values: As much as Possible

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17th FRUCT: 20-24 April, 2015, Yaroslavl 12

Lagrange Method:

A Closed-form Solution (THEOREM 4)

Problem Formulation Optimization Problem

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Problem Formulation Robust Beamforming

17th FRUCT: 20-24 April, 2015, Yaroslavl 13

Estimation of Correlation Matrices: Error

Solve the Problem in Worst Case

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Problem Formulation Robust Beamforming

17th FRUCT: 20-24 April, 2015, Yaroslavl 13

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Results

17th FRUCT: 20-24 April, 2015, Yaroslavl 14

Complexity Should be Examined!

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17th FRUCT: 20-24 April, 2015, Yaroslavl 15