
The Physics and Mathematics of Electromagnetic Wave Propagation in Cellular Wireless Communication
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
The Physics and Mathematics of Electromagnetic Wave Propagation in Cellular Wireless Communicationdescribes the electromagnetic principles for designing a cellular wireless system and includes the subtle electromagnetic principles that are often overlooked in designing such a system. This important text explores both the physics and mathematical concepts used in deploying antennas for transmission and reception of electromagnetic signals and examines how to select the proper methodology from a wide range of scenarios.
In this much-needed guide, the authors--noted experts in the field--explore the principle of electromagnetics as developed through the Maxwellian principles and describe the properties of an antenna in the frequency domain. The text also includes a review of the characterization of propagation path loss in a cellular wireless environment and examines ultrawideband antennas and the mechanisms of broadband transmission of both power and information. This important resource:
* Includes a discussion of the shortcomings of a MIMO system from both theoretical and practical aspects
* Demonstrates how to deploy base station antennas with better efficiency
* Validates the principle and the theoretical analysis of electromagnetic propagation in cellular wireless communication
* Contains results of experiments that are solidly grounded in mathematics and physics
Written for engineers, researchers, and educators who are or plan to work in the field, The Physics and Mathematics of Electromagnetic Wave Propagation in Cellular Wireless Communicationoffers an essential resource for understanding the principles underpinning wireless communications.
More details
Other editions
Additional editions


Persons
Tapan K. Sarkar, PhD, is a professor in the Department of Electrical Engineering and Computer Science at Syracuse University, New York, USA.
Magdalena Salazar Palma, PhD, is a professor in the Department of Signal Theory and Communications at Universidad Carlos III de Madrid, Spain.
Mohammad Najib Abdallah, PhD, is a researcher at Syracuse University.
Content
Preface xi
Acknowledgments xvii
1 The Mystery of Wave Propagation and Radiation from an Antenna 1
Summary 1
1.1 Historical Overview of Maxwell's Equations 3
1.2 Review of Maxwell-Hertz-Heaviside Equations 5
1.2.1 Faraday's Law 5
1.2.2 Generalized Ampere's Law 8
1.2.3 Gauss's Law of Electrostatics 9
1.2.4 Gauss's Law of Magnetostatics 10
1.2.5 Equation of Continuity 11
1.3 Development of Wave Equations 12
1.4 Methodologies for the Solution of the Wave Equations 16
1.5 General Solution of Maxwell's Equations 19
1.6 Power (Correlation) Versus Reciprocity (Convolution) 24
1.7 Radiation and Reception Properties of a Point Source Antenna in Frequency and in Time Domain 28
1.7.1 Radiation of Fields from Point Sources 28
1.7.1.1 Far Field in Frequency Domain of a Point Radiator 29
1.7.1.2 Far Field in Time Domain of a Point Radiator 30
1.7.2 Reception Properties of a Point Receiver 31
1.8 Radiation and Reception Properties of Finite-Sized Dipole-Like Structures in Frequency and in Time 33
1.8.1 Radiation Fields from Wire-Like Structures in the Frequency Domain 33
1.8.2 Radiation Fields from Wire-Like Structures in the Time Domain 34
1.8.3 Induced Voltage on a Finite-Sized Receive Wire-Like Structure Due to a Transient Incident Field 34
1.8.4 Radiation Fields from Electrically Small Wire-Like Structures in the Time Domain 35
1.9 An Expose on Channel Capacity 44
1.9.1 Shannon Channel Capacity 47
1.9.2 Gabor Channel Capacity 51
1.9.3 Hartley-Nyquist-Tuller Channel Capacity 53
1.10 Conclusion 56
References 57
2 Characterization of Radiating Elements Using Electromagnetic Principles in the Frequency Domain 61
Summary 61
2.1 Field Produced by a Hertzian Dipole 62
2.2 Concept of Near and Far Fields 65
2.3 Field Radiated by a Small Circular Loop 68
2.4 Field Produced by a Finite-Sized Dipole 70
2.5 Radiation Field from a Finite-Sized Dipole Antenna 72
2.6 Maximum Power Transfer and Efficiency 74
2.6.1 Maximum Power Transfer 75
2.6.2 Analysis Using Simple Circuits 77
2.6.3 Computed Results Using Realistic Antennas 81
2.6.4 Use/Misuse of the S-Parameters 84
2.7 Radiation Efficiency of Electrically Small Versus Electrically Large Antenna 85
2.7.1 What is an Electrically Small Antenna (ESA)? 86
2.7.2 Performance of Electrically Small Antenna Versus Large Resonant Antennas 86
2.8 Challenges in Designing a Matched ESA 90
2.9 Near- and Far-Field Properties of Antennas Deployed Over Earth 94
2.10 Use of Spatial Antenna Diversity 100
2.11 Performance of Antennas Operating Over Ground 104
2.12 Fields Inside a Dielectric Room and a Conducting Box 107
2.13 The Mathematics and Physics of an Antenna Array 120
2.14 Does Use of Multiple Antennas Makes Sense? 123
2.14.1 Is MIMO Really Better than SISO? 132
2.15 Signal Enhancement Methodology Through Adaptivity on Transmit Instead of MIMO 138
2.16 Conclusion 148
Appendix 2A Where Does the Far Field of an Antenna Really Starts Under Different Environments? 149
Summary 149
2A.1 Introduction 150
2A.2 Derivation of the Formula 2D2/¿ 153
2A.3 Dipole Antennas Operating in Free Space 157
2A.4 Dipole Antennas Radiating Over an Imperfect Ground 162
2A.5 Epilogue 164
References 167
3 Mechanism of Wireless Propagation: Physics, Mathematics, and Realization 171
Summary 171
3.1 Introduction 172
3.2 Description and Analysis of Measured Data on Propagation Available in the Literature 173
3.3 Electromagnetic Analysis of Propagation Path Loss Using a Macro Model 184
3.4 Accurate Numerical Evaluation of the Fields Near an Earth-Air Interface 190
3.5 Use of the Numerically Accurate Macro Model for Analysis of Okumura et al.'s Measurement Data 192
3.6 Visualization of the Propagation Mechanism 199
3.7 A Note on the Conventional Propagation Models 203
3.8 Refinement of the Macro Model to Take Transmitting Antenna's Electronic and Mechanical Tilt into Account 207
3.9 Refinement of the Data Collection Mechanism and its Interpretation Through the Definition of the Proper Route 210
3.10 Lessons Learnt: Possible Elimination of Slow Fading and a Better Way to Deploy Base Station Antennas 217
3.10.1 Experimental Measurement Setup 224
3.11 Cellular Wireless Propagation Occurs Through the Zenneck Wave and not Surface Waves 227
3.12 Conclusion 233
Appendix 3A Sommerfeld Formulation for a Vertical Electric Dipole Radiating Over an Imperfect Ground Plane 234
Appendix 3B Asymptotic Evaluation of the Integrals by the Method of Steepest Descent 247
Appendix 3C Asymptotic Evaluation of the Integrals When there Exists a Pole Near the Saddle Point 252
Appendix 3D Evaluation of Fields Near the Interface 254
Appendix 3E Properties of a Zenneck Wave 258
Appendix 3F Properties of a Surface Wave 259
References 261
4 Methodologies for Ultrawideband Distortionless Transmission/ Reception of Power and Information 265
Summary 265
4.1 Introduction 266
4.2 Transient Responses from Differently Sized Dipoles 268
4.3 A Travelling Wave Antenna 276
4.4 UWB Input Pulse Exciting a Dipole of Different Lengths 279
4.5 Time Domain Responses of Some Special Antennas 281
4.5.1 Dipole Antennas 281
4.5.2 Biconical Antennas 292
4.5.3 TEM Horn Antenna 299
4.6 Two Ultrawideband Antennas of Century Bandwidth 305
4.6.1 A Century Bandwidth Bi-Blade Antenna 306
4.6.2 Cone-Blade Antenna 310
4.6.3 Impulse Radiating Antenna (IRA) 313
4.7 Experimental Verification of Distortionless Transmission of Ultrawideband Signals 315
4.8 Distortionless Transmission and Reception of Ultrawideband Signals Fitting the FCC Mask 327
4.8.1 Design of a T-pulse 329
4.8.2 Synthesis of a T-pulse Fitting the FCC Mask 331
4.8.3 Distortionless Transmission and Reception of a UWB Pulse Fitting the FCC Mask 332
4.9 Simultaneous Transmission of Information and Power in Wireless Antennas 338
4.9.1 Introduction 338
4.9.2 Formulation and Optimization of the Various Channel Capacities 342
4.9.2.1 Optimization for the Shannon Channel Capacity 342
4.9.2.2 Optimization for the Gabor Channel Capacity 344
4.9.2.3 Optimization for the Hartley-Nyquist-Tuller Channel Capacity 345
4.9.3 Channel Capacity Simulation of a Frequency Selective Channel Using a Pair of Transmitting and Receiving Antennas 347
4.9.4 Optimization of Each Channel Capacity Formulation 353
4.10 Effect of Broadband Matching in Simultaneous Information and Power Transfer 355
4.10.1 Problem Description 357
4.10.1.1 Total Channel Capacity 358
4.10.1.2 Power Delivery 361
4.10.1.3 Limitation on VSWR 361
4.10.2 Design of Matching Networks 362
4.10.2.1 Simplified Real Frequency Technique (SRFT) 362
4.10.2.2 Use of Non-Foster Matching Networks 366
4.10.3 Performance Gain When Using a Matching Network 367
4.10.3.1 Constraints of VSWR < 2 367
4.10.3.2 Constraints of VSWR < 3 369
4.10.3.3 Without VSWR Constraint 371
4.10.3.4 Discussions 372
4.10.4 PCB (Printed Circuit Board) Implementation of a Broadband- Matched Dipole 373
4.11 Conclusion 376
References 377
Index 383
Preface
Wireless communication is an important area of research these days. However, the promise of wireless communication has not matured as expected. This is because some of the important principles of electromagnetics were not adhered to during system design over the years. Therefore, one of the objectives of this book is to describe and document some of the subtle electromagnetic principles that are often overlooked in designing a cellular wireless system. These involve both physics and mathematics of the concepts used in deploying antennas for transmission and reception of electromagnetic signals and selecting the proper methodology out of a plethora of scenarios. The various scenarios are but not limited to: is it better to use an electrically small antenna, a resonant antenna or multiple antennas in a wireless system? However, the fact of the matter as demonstrated in the book is that a single antenna is sufficient if it is properly designed and integrated into the system as was done in the old days of the transistor radios where one could hear broadcasts from the other side of the world using a single small antenna operating at 1?MHz, where an array gain is difficult to achieve!
The second objective of this book is to illustrate that the main function of an antenna is to capture the electromagnetic waves that are propagating through space and prepare them as a signal fed to the input of the first stage of the radio frequency (RF) amplifier. The reality is that if the signal of interest is not captured and available for processing at the input of the first stage of the RF amplifier, then application of various signal processing techniques cannot recreate that signal. Hence the modern introduction of various statistical concepts into this deterministic problem of electromagnetic wave transmission/reception is examined from a real system deployment point of view. In this respect the responses of various sensors in the frequency and the time domain are observed. It is important to note that the impulse response of an antenna is different in the transmit mode than in the receive mode. Understanding of this fundamental principle can lead one to transmit ultrawideband signals through space using a pair of antennas without any distortion. Experimental results are provided to demonstrate how a distortion free tens of gigahertz bandwidth signal can be transmitted and received to justify this claim. This technique can be achieved by recasting the Friis's transmission formula (after Danish-American radio engineer Harald Trap Friis) to an alternate form which clearly illustrates that if the physics of the transmit and receive antennas are factored in the channel modelling then the path loss can be made independent of frequency. The other important point to note is that in deploying an antenna in a real system one should focus on the radiation efficiency of the antenna and not on the maximum power transfer theorem which has resulted in the misuse of the S-parameters. Also two antennas which possess a century bandwidth (i.e., a 100:1 bandwidth) are also discussed.
The next topic that is addressed in the book is the illustration of the shortcomings of a MIMO system from both theoretical and practical aspects in the sense that it is difficult if not impossible to achieve simultaneously several orthogonal modes of transmission with good radiation efficiency. In this context, a new deterministic methodology based on the principle of reciprocity is presented to illustrate how a signal can be directed to a desired user and simultaneously be made to have nulls along the directions of the undesired ones without an explicit characterization of the operational environment. This is accomplished using an embarrassingly simple matrix inversion technique. Since this principle also holds over a band of frequencies, then the characterization of the system at the uplink frequency can be used to implement this methodology in the downlink or vice versa.
Another objective of the book is to point out that all measurements related to propagation path loss in electromagnetic wave transmission over ground illustrate that the path loss from the base station in a cellular environment is approximately 30?dB per decade of distance within the cell of a few Km in radius and the loss is 40?dB per decade outside this cell. This is true independent of the nature of the ground whether it be urban, suburban, rural or over water. Also the path loss in the cellular band appears to be independent of frequency. Therefore in order to propagate a signal from 1?m to 1?kilometer the total path loss, based on the 30?dB per decade of distance, is 90?dB. And compared to this free space path loss over Earth, the attenuation introduced by buildings, trees and so on has a second order effect as it is shown to be of the order of 30-40?dB. Even though this loss due to buildings, trees and the like is quite large, when compared to the free space path loss of approximately 90?dB over a 1?km, it is negligible! Also, the concept of slow fading appears to be due to interference of the direct wave from the transmitting antenna along with the ground wave propagation over earth and also emanating from it and generally occurs when majority of the cell area is located in a near field environment of the base station antenna. These concepts have been illustrated from a physics based view point developed over a hundred years ago by German theoretical physicist Arnold Johannes Wilhelm Sommerfeld and have been validated using experimental data where possible. Finally, it is shown how to reduce the propagation loss by deploying the transmitting antenna closer to the ground with a slight vertical tilt - a rotation about the horizontal axis - a very non-intuitive solution. Deployment of base station antennas high above the ground indeed provides a height-gain in the far field, but in the near field there is actually a height loss. Also, the higher the antenna is over the ground the far field starts further away from the transmitter.
Finally we introduce the concept of simultaneous transfer of information and power. The requirements for these two issues are contradictory in the sense that transmission of information is a function of the bandwidth of the system whereas the power transfer is related to the resonance of the system which is invariably of extremely narrow bandwidth. To this end, the various concepts of channel capacities are presented including those of an American mathematician and electrical engineer Claude Elwood Shannon, a Hungarian-British electrical engineer and physicist Dennis Gabor, and an American electrical engineer William G. Tuller. It is rather important to note that each one of these methodologies is suitable for a different operational environment. For example, the Shannon capacity is useful when one is dealing with transmission in the presence of thermal noise and Shannon's discovery made satellite communication possible. The Gabor channel capacity on the other hand is useful when a system is operating in the presence of interfering signals which is not white background noise. And finally the Tuller capacity is useful in a realistic near field noisy environment where the concept of power flow through the Poynting vector is a complex quantity. Since the Tuller capacity is defined in terms of the smallest discernable voltage levels that the first stage of the RF amplifier can handle and is not related to power, the Tuller formula can be and has been used in the design of a practical system. Tuller himself designed and constructed the first private ground to air communication system and it worked in the first trial and provided a transmission rate which was close to the theoretical design. It is also important to point out that in the development of the various properties of channel capacity it makes sense to talk about the rate of transmission only when one is using coding at the RF stage. To Shannon a transmitter was an encoder and not an RF amplifier and similarly the receiver was a decoder! Currently only two systems use coding at RF. One is satellite communication where the satellite is quite far away from the Earth and the other is in Global Positioning System (GPS) where the code is often gigabits long. In some radar systems, often a Barker code (R. H. Barker, "Group Synchronizing of Binary Digital Systems". Communication Theory. London: Butterworth, pp. 273-287, 1953) is used during transmission. It is also illustrated how the effect of matching using both conventional and non Foster type devices have an impact on the channel capacity of a system.
The book contains four chapters. In Chapter 1, the principle of electromagnetics is developed through the Maxwellian principles where it is illustrated that the superposition of power does not apply in electrical engineering. It is either superposition of the voltages or the currents (or electric and magnetic fields). The other concept is that the energy flow in a wire, when we turn on a switch to complete the electrical circuit, does not take place through the flow of electrons. For an alternating current (AC) system the electrons never actually leave the switch but simply move back and forth when an alternating voltage is applied to excite the circuit and cause an AC current flow. The energy flow is external to the wire where the electric and the magnetic fields reside and they travel at the speed of light in the given dielectric medium carrying the energy from the source to the load. Also, the transmitting and receiving responses of simple antennas both in time and frequency domains are presented to illustrate the...
System requirements
File format: ePUB
Copy protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (not Kindle).
The file format ePub works well for novels and non-fiction books – i.e., „flowing” text without complex layout. On an e-reader or smartphone, line and page breaks automatically adjust to fit the small displays.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our ebook Help page.