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MODELING, SIMULATION AND PERFORMANCE ANALYSIS OF MIMO SYSTEMS WITH MULTICARRIER TIME DELAYS DIVERSITY MODULATION

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NAVAL

POSTGRADUATE

SCHOOL

MONTEREY, CALIFORNIA

THESIS

MODELING, SIMULATION AND PERFORMANCE ANALYSIS OF MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) SYSTEMS WITH MULTICARRIER TIME DELAY DIVERSITY MODULATION

 

by

 

Muhammad Shahid

 

September 2005

Thesis Advisor:

Frank Kragh

Second Reader:

Tri Ha

Approved for public release; distribution is unlimited

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September 2005

4. TITLE AND SUBTITLE: Modeling, Simulation and Performance Analysis

5. FUNDING NUMBERS

of Multiple-Input Multiple-Output (MIMO) Systems with Multicarrier Time

 

Delay Diversity Modulation

 

6. AUTHOR(S) Muhammad Shahid

 

7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)

8. PERFORMING

Naval Postgraduate School

ORGANIZATION REPORT

Monterey, CA 93943-5000

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11. SUPPLEMENTARY NOTES The views expressed in this thesis are those of the author and do not reflect the official policy or position of the Department of Defense or the U.S. Government.

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Approved for public release; distribution is unlimited

13. ABSTRACT (maximum 200 words)

This thesis investigates the fundamentals of multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) radio communication systems with space-time codes. A MISO system and MIMO systems were designed using multicarrier delay diversity modulation (MDDM). MDDM was incorporated with orthogonal frequency division multiplexing (OFDM). The design was implemented with binary phase shift keying (BPSK). Matlab was used to simulate the design, which was tested in both an additive white Gaussian noise (AWGN) channel and in a slow fading frequency nonselective multipath channel with AWGN. The receiver design was incorporated with the maximal ratio combiner (MRC) receiving technique with perfect knowledge of channel state information (CSI). The theoretical performance was derived for both channels and was compared with the simulated results.

14. SUBJECT TERMS Multiple-input Single-output (MISO), Multiple-input Multipleoutput (MIMO), Orthogonal Frequency Division Multiplexing (OFDM), Binary Phase Shift Keying, Rayleigh Fading Channel, Maximal Ratio Combining (MRC), Spatial Diversity

17. SECURITY

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CLASSIFICATION OF

CLASSIFICATION OF THIS

CLASSIFICATION OF

REPORT

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Unclassified

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15.NUMBER OF PAGES

119

16.PRICE CODE

18. SECURITY CLASSIFICATION OF THIS PAGE

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Prescribed by ANSI Std. 239-18

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Approved for public release; distribution is unlimited

MODELING, SIMULATION AND PERFORMANCE ANALYSIS OF MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) SYSTEMS WITH MULTICARRIER DELAY DIVERSITY MODULATION (MDDM)

Muhammad Shahid

Squadron Leader, Pakistan Air Force

B.S., NED University Karachi, Pakistan, 1993

Submitted in partial fulfillment of the requirements for the degree of

MASTER OF SCIENCE IN ELECTRICAL ENGINEERING

from the

NAVAL POSTGRADUATE SCHOOL

September 2005

Author:

Muhammad Shahid

Approved by:

Frank Kragh

 

Thesis Advisor

Tri Ha

Second Reader

Jeffrey B. Knorr

Chairman, Department of Electrical and Computer Engineering

iii

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iv

ABSTRACT

This thesis investigates the fundamentals of multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) radio communication systems with spacetime codes. A MISO system and MIMO systems were designed using multicarrier delay diversity modulation (MDDM). MDDM was incorporated with orthogonal frequency division multiplexing (OFDM). The design was implemented with binary phase shift keying (BPSK). Matlab was used to simulate the design, which was tested in both an additive white Gaussian noise (AWGN) channel and in a slow fading frequency nonselective multipath channel with AWGN. The receiver design was incorporated with the maximal ratio combiner (MRC) receiving technique with perfect knowledge of channel state information (CSI). The theoretical performance was derived for both channels and was compared with the simulated results.

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TABLE OF CONTENTS

I.

INTRODUCTION........................................................................................................

1

 

A.

BACKGROUND ..............................................................................................

1

 

B.

OBJECTIVE AND METHODOLOGY.........................................................

2

 

C.

RELATED RESEARCH.................................................................................

2

 

D.

THESIS ORGANIZATION............................................................................

2

II.

MIMO SYSTEMS AND MULTICARRIER DELAY DIVERSITY ......................

5

 

A.

MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) SYSTEMS.............

5

 

 

1.

Single-Input Single-Output System....................................................

5

 

 

2.

Single-Input Multiple-Output System................................................

6

 

 

3.

Multiple-Input Single-Output System................................................

7

 

 

4.

Multiple-Input Multiple-Output System ...........................................

8

 

B.

SPACE TIME CODING ...............................................................................

12

 

C.

MULTICARRIER DELAY DIVERSITY IN MIMO SYSTEMS.............

13

 

D.

ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING .............

15

 

 

1.

Generation of OFDM.........................................................................

19

 

 

2.

Cyclic Guard Interval........................................................................

20

 

E. THE MULTIPATH AND FADING CHANNEL........................................

21

 

 

1.

Flat Rayleigh Fading Channel ..........................................................

23

 

 

2.

Maximal-Ratio Combining ...............................................................

29

 

F.

SUMMARY ....................................................................................................

37

III.MULTICARRIER DELAY DIVERSITY MODULATION TRANSMITTER

AND RECEIVER MODELS ....................................................................................

39

A.THE MULTICARRIER DELAY DIVERSITY MODULATION

 

SCHEME ........................................................................................................

39

B.

MDDM TRANSMITTER .............................................................................

40

 

1.

Binary Information Source and M PSK Modulator ......................

40

 

2.

OFDM Modulator..............................................................................

40

 

3.

Cyclic Delay Addition........................................................................

42

 

4.

Guard Interval (Cyclic Prefix) Addition..........................................

42

 

5.

Digital to Analog Conversion and RF Modulation .........................

43

C.

MDDM RECEIVER ......................................................................................

43

D.

SUMMARY ....................................................................................................

47

IV. ANALYSIS AND SIMULATION OF MULTICARRIER DELAY

 

DIVERSITY MODULATION SCHEME................................................................

49

A. SIMULATION OF MDDM TRANSMITTER............................................

51

B. SIMULATION OF MDDM RECIVER.......................................................

52

C.SIMULATION AND PERFORMANCE ANALYSIS OF MDDM IN

AWGN.............................................................................................................

53

1.Performance Analysis of MISO System with Two Transmit

and One Receive Antenna .................................................................

54

vii

2.Performance Analysis of MIMO System with Two Transmit

and Two Receive Antennas ...............................................................

60

3.Performance Analysis of MIMO System with Two Transmit

and Three Receive Antennas.............................................................

62

D.SIMULATION AND PERFORMANCE ANALYSIS OF MDDM IN A

MULTIPATH FADING CHANNEL ...........................................................

65

1.Performance Analysis of MISO System with Two Transmit

and One Receive Antenna .................................................................

67

2.Performance Analysis of MIMO System with Two Transmit

 

 

and Two Receive Antennas ...............................................................

72

 

3.

Performance Analysis of MIMO System with Two Transmit

 

 

 

and Three Receive Antennas.............................................................

77

E.

SUMMARY ....................................................................................................

82

V. CONCLUSION ..........................................................................................................

83

A.

RESULTS .......................................................................................................

83

B. RECOMMENDATION FOR FUTURE RESEARCH...............................

83

APPENDIX

 

MATLAB CODES .............................................................................

85

A. SIMULATION OF THE MDDM IN AN AWGN CHANNEL..................

85

B.COMPUTING THEORETICAL BER OF THE MDDM IN AN

AWGN CHANNEL........................................................................................

87

C.SIMULATION OF THE MDDM IN FREQUENCY

NONSELECTIVE SLOW FADING RAYLEIGH CHANNEL ................

88

D.COMPUTING THEORETICAL BER OF THE MDDM IN

FREQUENCY NONSLECECTIVE SLOW FADING RAYLEIGH

 

CHANNEL......................................................................................................

92

E.FUNCTIONS TO INTERPOLATE PROBABAILITY

DISTRIBUTION FUNCTIONS

...................................................................93

LIST OF REFERENCES......................................................................................................

95

INITIAL DISTRIBUTION LIST .........................................................................................

99

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