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Cover image for Adaptive array measurements in communications
Title:
Adaptive array measurements in communications
Personal Author:
Publication Information:
Boston : Artech House, 2001
ISBN:
9781580532785

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30000010017965 TK7871.67.A33 H35 2001 Open Access Book Book
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Summary

Summary

One of the most damaging factors associated with any radio communication system is the effect of undesirable or interference signals. This book gives you the knowledge you need to ensure your adaptive array system is protecting your communication links to the fullest. It presents concepts and procedures that help you realize the maximum processing capabilities of a given system, choose the right system for a specific application, and identify precautionary steps to avoid adverse effects.


Author Notes

M.A. Halim holds a M.Sc. Tech in electrical engineering from the University of Sheffield, England and a Ph.D. in electrical engineering from the Technological University of Delft, Holland.

Halim is senior RF engineer at SR Telecom in Kanata, Ontario.

050


Table of Contents

Prefacep. xiii
Introductionp. xv
1 Fundamental Conceptsp. 1
Introductionp. 1
1.1 Conceptual Representation of Adaptive Arraysp. 1
1.2 The Linear Arrayp. 2
1.2.1 Structure and Behavior of a Linear Arrayp. 3
1.2.2 Array Radiation Formulas and Patternsp. 5
1.3 The Beam Formerp. 10
1.3.1 The Definition and Function of a Beam Formerp. 11
1.3.2 Characteristics of Orthogonal Beam Formersp. 11
1.3.3 Separation of Desired and Undesired Signalsp. 12
1.3.4 Measurement of Array Radiation Patternsp. 14
1.4 The Signalsp. 16
1.4.1 Distribution of Signal Sources and Signalsp. 16
1.4.2 System with Two Transmitting Signal Sourcesp. 17
1.5 Signal Processing Networkp. 19
1.5.1 Removal of Interference Signals by the Signal Processing Networkp. 19
1.5.2 Final Output Signalp. 20
1.5.3 Final Output Powerp. 20
1.5.4 Cancellation of the Interference Signalp. 22
1.6 Adaptive Signal Processingp. 26
Referencep. 27
2 Simplified Analysisp. 29
Introductionp. 29
2.1 The Signalsp. 30
2.1.1 Signals at the Input and Output Ports of a Beam Formerp. 30
2.1.2 Space Transfer Functionsp. 31
2.1.3 Signals at the Input Ports of the Beam Formerp. 33
2.1.4 Beam Former Transfer Functionsp. 33
2.1.5 Signals at the Beam Former Output Portsp. 34
2.1.6 Signals at the Input Ports of the Signal Processing Networkp. 37
2.2 Two-Source, Two-Output Systemp. 38
2.2.1 The Signalsp. 38
2.2.2 Signal Processing Networkp. 39
2.2.3 Final Output Powerp. 45
2.2.4 Cancellation of Interference Signal and the Null Depthp. 46
2.3 Two-Source, Three-Output Systemp. 50
2.3.1 The Signalsp. 50
2.3.2 Signal Processing Networkp. 52
2.3.3 Final Output Powerp. 59
2.3.4 Null Depthp. 59
2.4 Two-Source, Multioutput Systemp. 63
2.4.1 The Signalsp. 63
2.4.2 Signal Processing Networkp. 65
2.4.3 Final Output Powerp. 71
2.4.4 Alternate Method for Estimating the Null Depthp. 72
2.5 Three-Source, Two-Output Systemp. 73
2.5.1 The Signalsp. 73
2.5.2 Signal Processing Networkp. 75
2.5.3 Final Output Powerp. 78
2.5.4 Null Depthp. 80
2.6 Three-Source, Three-Output Systemp. 81
2.6.1 The Signalsp. 81
2.6.2 Signal Processing Networkp. 83
2.6.3 Final Output Powerp. 87
2.6.4 Null Depthp. 88
2.7 Multisource, Two-Output Systemp. 90
2.7.1 The Signalsp. 90
2.7.2 Signal Processing Networkp. 92
2.7.3 Final Output Powerp. 95
2.7.4 Null Depthp. 97
2.8 Multisource, Multioutput Systemp. 97
2.8.1 The Signalsp. 98
2.8.2 Signal Processing Networkp. 100
2.8.3 General Expression for Null Depthp. 103
2.8.4 Alternate Expressions for Null Depthp. 107
2.8.5 The Tradeoffp. 108
2.8.6 Number of Undesired Signals and the Active Output Portsp. 108
2.9 Leakage of the Desired Signal into the AUX Portsp. 109
2.9.1 The Leakagep. 109
2.9.2 The Signalsp. 109
2.9.3 Signal Processing Networkp. 110
2.9.4 Final Output Powerp. 113
2.9.5 Null Depthp. 114
2.9.6 Minimization of Leakage of the Desired Signal into an AUX Portp. 116
2.10 Effect of Offset Voltage on System Performancep. 117
2.10.1 Offset Voltagep. 118
2.10.2 The Signalsp. 118
2.10.3 Signal Processing Networkp. 120
2.10.4 Final Output Powerp. 123
2.10.5 Null Depthp. 124
2.10.6 Feedback Loop with Phase Detectorp. 126
2.11 Effect of Space Noise on System Performancep. 126
2.11.1 The Noisep. 126
2.11.2 The Signalsp. 126
2.11.3 Signal Processing Networkp. 129
2.11.4 Final Output Powerp. 131
2.11.5 Null Depthp. 133
2.11.6 Final Output Noisep. 134
2.12 Feedback Loopp. 136
2.12.1 Stability of the Feedback Loopp. 136
2.12.2 Closed-Loop Transfer Function of a Feedback Loopp. 137
2.12.3 Feedback Loop and the Convergence Timep. 139
2.13 Examples of Practical Beam Formersp. 153
2.13.1 The Signalsp. 153
2.13.2 Typical 4 x 4 Beam Formerp. 155
2.13.3 Typical 8 [times] 8 Beam Formerp. 160
2.13.4 Beam Formers with Real Signalsp. 162
2.14 Phase Shifters and Hybridsp. 170
2.14.1 Introductionp. 170
2.14.2 Phase Shiftersp. 170
2.14.3 180[degree] Hybridsp. 187
Referencesp. 192
3 Basic Matrix Expressionsp. 193
Introductionp. 193
3.1 The Signalsp. 194
3.1.1 Distribution of Signal Sources and Signalsp. 194
3.1.2 Space Transfer Functionsp. 194
3.1.3 Signals at the Beam Former Input Portsp. 196
3.1.4 Beam Former Transfer Functionsp. 198
3.1.5 Signals at the Beam Former Output Portsp. 199
3.2 Signal Processing Networkp. 200
3.2.1 Total Output Signalp. 201
3.2.2 Total Output Powerp. 202
3.2.3 Cancellation of Interference Signalsp. 204
3.3 Modal Representation of Matrix Expressionsp. 206
3.3.1 Linear Expressions for Matrix Equationsp. 206
3.3.2 Modal Decomposition of the Matrix Expressionsp. 207
3.3.3 Steady-State Values of the Weighters in Modal Notationp. 210
3.3.4 Feedback Loopp. 214
3.4 Physical Significance of Eigenvaluesp. 215
3.4.1 Signal Matrix in Terms of Signal Powers and Eigenvaluesp. 216
3.4.2 Characteristics of the Transfer Function or Gain Matrixp. 217
3.4.3 Relation Between Eigenvalues and Signal Powersp. 221
Referencesp. 227
Appendix A Final Output Power for a Two-Source, Two-Output Systemp. 229
Appendix B Final Output Power for a Two-Source, Three-Output Systemp. 231
Appendix C Final Output Power for a Three-Source, Two-Output Systemp. 235
Appendix D Final Output Power for a Three-Source, Three-Output Systemp. 239
Appendix E Final Output Power for a Multisource, Two-Output Systemp. 243
Appendix F Final Output Power in the Presence of Leakagep. 249
Appendix G Final Output Power in the Presence of Offset Voltagep. 251
Appendix H Final Output Power in the Presence of Space Noisep. 253
Appendix I Basic Matrix Relationsp. 255
Appendix J Touchstone-Generated Phase Values for Cross-Coupled Transmission Linesp. 259
Appendix K Derivation of the Input Signal in Figure 2.21p. 295
About the Authorp. 297
Indexp. 299
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