
High Frequency Techniques
Beschreibung
This book provides engineers with a comprehensive guide to Radio Frequency (RF) circuit analysis and wave propagation in order to be able to design new systems. Emphasis is placed on fundamental concepts, engineering techniques, and the regular and intelligent use of the computer design tools. This book contains a review of wireless history and engineering fundamentals including complex numbers, alternating-current theory, and the logarithmic basis of decibels. The important topics in microwave design theory are discussed, such as transmission lines, the Smith Chart, and matrix algebra. Computer generated examples are used to provide insight into the basic performance, bandwidth, and manufacturing yield of RF and microwave networks. The author also provides a broad presentation of electromagnetic (EM) field theory tailored to the needs of the microwave and RF engineer.
* Explains how design challenges would be attacked in a real engineering environment
* Reviews AC analysis, Kirchhoff's laws, RLC elements, skin effect, and introduction to the use of computer simulation software *Covers filter designs for Butterworth, Chebyshev, Bessel and elliptic responses, Kuroda's identities, and Richard's transformation
* Provides in-text exercises to emphasize a practical approach
* Includes access to a companion site hosting an instructor's manual
High Frequency Technique: An Introduction to RF and Microwave Design and Computer Simulation is a reference for RF, microwave, and wireless engineers, and graduate students in electrical and computer engineering.
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Weitere Ausgaben
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Inhalt
Acknowledgments xvii
1 Introduction 1
1.1 Beginning of Wireless 1
1.2 Current Radio Spectrum 4
1.3 Conventions Used in This Text 8
Sections 8
Equations 8
Figures 8
Exercises 8
Symbols 8
Prefixes 10
Fonts 10
1.4 Vectors and Coordinates 11
1.5 General Constants and Useful Conversions 14
2 Review of AC Analysis and Network Simulation 16
2.1 Basic Circuit Elements 16
The Resistor 16
Ohm's Law 18
The Inductor 19
The Capacitor 20
2.2 Kirchhoff's Laws 22
2.3 Alternating Current (AC) Analysis 23
Ohm's Law in Complex Form 26
2.4 Voltage and Current Phasors 26
2.5 Impedance 28
Estimating Reactance 28
Addition of Series Impedances 29
2.6 Admittance 30
Admittance Definition 30
Addition of Parallel Admittances 30
The Product over the Sum 32
2.7 LLFPB Networks 33
2.8 Decibels, dBW, and dBm 33
Logarithms (Logs) 33
Multiplying by Adding Logs 34
Dividing by Subtracting Logs 34
Zero Powers 34
Bel Scale 34
Decibel Scale 35
Decibels-Relative Measures 35
Absolute Power Levels-dBm and dBW 37
Decibel Power Scales 38
2.9 Power Transfer 38
Calculating Power Transfer 38
Maximum Power Transfer 39
2.10 Specifying Loss 40
Insertion Loss 40
Transducer Loss 41
Loss Due to a Series Impedance 42
Loss Due to a Shunt Admittance 43
Loss in Terms of Scattering Parameters 44
2.11 Real RLC Models 44
Resistor with Parasitics 44
Inductor with Parasitics 44
Capacitor with Parasitics 44
2.12 Designing LC Elements 46
Lumped Coils 46
High µ Inductor Cores-the Hysteresis Curve 47
Estimating Wire Inductance 48
Parallel Plate Capacitors 49
2.13 Skin Effect 51
2.14 Network Simulation 53
3 LC Resonance and Matching Networks 59
3.1 LC Resonance 59
3.2 Series Circuit Quality Factors 60
Q of Inductors and Capacitors 60
QE, External Q 61
QL, Loaded Q 62
3.3 Parallel Circuit Quality Factors 62
3.4 Coupled Resonators 63
Direct Coupled Resonators 63
Lightly Coupled Resonators 63
3.5 Q Matching 67
Low to High Resistance 67
Broadbanding the Q Matching Method 70
High to Low Resistance 71
4 Distributed Circuits 78
4.1 Transmission Lines 78
4.2 Wavelength in a Dielectric 81
4.3 Pulses on Transmission Lines 82
4.4 Incident and Reflected Waves 83
4.5 Reflection Coefficient 85
4.6 Return Loss 86
4.7 Mismatch Loss 86
4.8 Mismatch Error 87
4.9 The Telegrapher Equations 91
4.10 Transmission Line Wave Equations 92
4.11 Wave Propagation 94
4.12 Phase and Group Velocities 97
4.13 Reflection Coefficient and Impedance 100
4.14 Impedance Transformation Equation 101
4.15 Impedance Matching with One Transmission Line 108
4.16 Fano's (and Bode's) Limit 109
Type A Mismatched Loads 109
Type B Mismatched Loads 112
Impedance Transformation Not Included 113
5 The Smith Chart 119
5.1 Basis of the Smith Chart 119
5.2 Drawing the Smith Chart 124
5.3 Admittance on the Smith Chart 130
5.4 Tuning a Mismatched Load 132
5.5 Slotted-Line Impedance Measurement 135
5.6 VSWR = r 139
5.7 Negative Resistance Smith Chart 140
5.8 Navigating the Smith Chart 140
5.9 Smith Chart Software 145
5.10 Estimating Bandwidth on the Smith Chart 147
5.11 Approximate Tuning May Be Better 148
5.12 Frequency Contours on the Smith Chart 150
5.13 Using the Smith Chart without Transmission Lines 150
5.14 Constant Q Circles 151
5.15 Transmission Line Lumped Circuit Equivalent 153
6 Matrix Analysis 161
6.1 Matrix Algebra 161
6.2 Z and Y Matrices 164
6.3 Reciprocity 166
6.4 The ABCD Matrix 167
6.5 The Scattering Matrix 172
6.6 The Transmission Matrix 177
7 Electromagnetic Fields and Waves 183
7.1 Vector Force Fields 183
7.2 E and H Fields 185
7.3 Electric Field E 185
7.4 Magnetic Flux Density 187
7.5 Vector Cross Product 188
7.6 Electrostatics and Gauss's Law 193
7.7 Vector Dot Product and Divergence 194
7.8 Static Potential Function and the Gradient 196
7.9 Divergence of the B Field 200
7.10 Ampere's Law 201
7.11 Vector Curl 202
7.12 Faraday's Law of Induction 208
7.13 Maxwell's Equations 209
Maxwell's Four Equations 209
Auxiliary Relations and Definitions 210
Visualizing Maxwell's Equations 211
7.14 Primary Vector Operations 214
7.15 The Laplacian 215
7.16 Vector and Scalar Identities 218
7.17 Free Charge within a Conductor 219
7.18 Skin Effect 221
7.19 Conductor Internal Impedance 224
7.20 The Wave Equation 227
7.21 The Helmholtz Equations 229
7.22 Plane Propagating Waves 230
7.23 Poynting's Theorem 233
7.24 Wave Polarization 236
7.25 EH Fields on Transmission Lines 240
7.26 Waveguides 246
General Waveguide Solution 246
Waveguide Types 250
Rectangular Waveguide Fields 251
Applying Boundary Conditions 252
Propagation Constants and Waveguide Modes 253
Characteristic Wave Impedance for Waveguides 256
Phase and Group Velocities 257
TE and TM Mode Summary for Rectangular Waveguide 257
7.27 Fourier Series and Green's Functions 261
Fourier Series 261
Green's Functions 263
7.28 Higher Order Modes in Circuits 269
7.29 Vector Potential 271
7.30 Retarded Potentials 274
7.31 Potential Functions in the Sinusoidal Case 275
7.32 Antennas 275
Short Straight Wire Antenna 275
Radiation Resistance 279
Radiation Pattern 280
Half-Wavelength Dipole 280
Antenna Gain 283
Antenna Effective Area 284
Monopole Antenna 285
Aperture Antennas 286
Phased Arrays 288
7.33 Path Loss 290
7.34 Electromagnetic (EM) Simulation 294
8 Directional Couplers 307
8.1 Wavelength Comparable Dimensions 307
8.2 The Backward Wave Coupler 307
8.3 Even- and Odd-Mode Analysis 309
8.4 Reflectively Terminated 3-dB Coupler 320
8.5 Coupler Specifications 323
8.6 Measurements Using Directional Couplers 325
8.7 Network Analyzer Impedance Measurements 326
8.8 Two-Port Scattering Measurements 327
8.9 Branch Line Coupler 327
8.10 Hybrid Ring Coupler 330
8.11 Wilkinson Power Divider 330
9 Filter Design 335
9.1 Voltage Transfer Function 335
9.2 Low-Pass Prototype 336
9.3 Butterworth or Maximally Flat Filter 337
9.4 Denormalizing the Prototype Response 339
9.5 High-Pass Filters 343
9.6 Bandpass Filters 345
9.7 Bandstop Filters 349
9.8 Chebyshev Filters 351
9.9 Phase and Group Delay 356
9.10 Filter Q 361
9.11 Diplexer Filters 364
9.12 Top-Coupled Bandpass Filters 367
9.13 Elliptic Filters 369
9.14 Distributed Filters 370
9.15 The Richards Transformation 374
9.16 Kuroda's Identities 379
9.17 Mumford's Maximally Flat Stub Filters 381
9.18 Filter Design with the Optimizer 384
9.19 Statistical Design and Yield Analysis 386
Using Standard Part Values 386
The Normal Distribution 387
Other Distributions 391
10 Transistor Amplifier Design 399
10.1 Unilateral Design 399
Evaluating S Parameters 399
Transistor Biasing 400
Evaluating RF Performance 403
10.2 Amplifier Stability 405
10.3 K Factor 409
10.4 Transducer Gain 413
10.5 Unilateral Gain Design 416
10.6 Unilateral Gain Circles 422
Input Gain Circles 422
Output Gain Circles 424
10.7 Simultaneous Conjugate Match Design 428
10.8 Various Gain Definitions 431
10.9 Operating Gain Design 433
10.10 Available Gain Design 437
10.11 Noise in Systems 442
Thermal Noise Limit 442
Other Noise Sources 444
Noise Figure of a Two-Port Network 445
Noise Factor of a Cascade 447
Noise Temperature 448
10.12 Low-Noise Amplifiers 450
10.13 Amplifier Nonlinearity 455
Gain Saturation 455
Intermodulation Distortion 456
10.14 Broadbanding with Feedback 460
10.15 Cascading Amplifier Stages 466
10.16 Amplifier Design Summary 468
Appendices
A. Symbols and Units 474
B. Complex Mathematics 478
C. Diameter and Resistance of Annealed Copper Wire by Gauge Size 483
D. Properties of Some Materials 485
E. Standard Rectangular Waveguides 486
Frequently Used Relations 487
Index 491
CHAPTER 1
Introduction
1.1 BEGINNING OF WIRELESS
WIRELESS TELEGRAPHY-At a time when relations are strained between Spain and this country, nothing could be more welcome than a practical method of carrying on electrical communication between distant points on land, and between ships at sea, without any prearranged connection between the two points. During the last year Guglielmo Marconi, an Italian student, developed a system of wireless telegraphy able to transmit intelligible Morse signals to a distance of over ten miles. It has been left, however, for an American inventor to design an apparatus suitable to the requirements of wireless telegraphy in this country. After months of experimenting, Mr. W. J. Clarke, of the United States Electrical Supply Company, has designed a complete wireless telegraphy apparatus that will probably come rapidly into use.
-Scientific American April, 1898
This announcement appeared near the beginning of radio technology. Webster's dictionary [1] lists over 150 definitions that begin with the word radio, the first being:
1a. . the transmission and reception of electric impulses or signals by means of electromagnetic waves without a connecting wire (includes wireless, television and radar).
This remains today the real definition of wireless and, equivalently, radio. Today the uses of radio communication include not only the broadcast of sound through amplitude modulation (AM) and frequency modulation (FM) radio and video through television, but also a broad collection of radio applications, cordless telephones, cell phones, TV, and VCR remotes, automobile remote door locks, garage door openers, and so on.
There is some question about who actually invented radio as a communicative method. Mahlon Loomis, a dentist, experimented with wireless telegraphy using wires supported by kites and a galvanometer to sense the changes in current flow in a second wire when the ground connection of the first was interrupted. He received a patent in 1873 for this system [2].
James Clerk Maxwell [3], more about Maxwell's equations later, predicted the propagation of electromagnetic waves through a vacuum in about 1862. Nathan Stubblefield, a Kentucky farmer and sometimes telephone repairman, demonstrated wireless telephony as early as 1892, but to only one man, and in 1902 to a group [2].
Alexander Popov is said to have "utilized his equipment to obtain information for a study of atmospheric electricity . On 7 May 1895, in a lecture before the Russian Physicist Society of St. Petersburg, he stated he had transmitted and received signals at an intervening distance of 600 yards" [4]. In 1888 Heinrich Hertz conducted an experimental demonstration in a classroom at Karlsruhe Polytechnic in Berlin of the generation and detection of the propagating electromagnetic waves predicted by Maxwell [2].
Sir Oliver Lodge, a professor at Liverpool University was experimenting with wireless telegraphy in 1888, and he patented a system in 1897. Marconi purchased his patent in 1911 [2].
In the public mind Guglielmo Marconi enjoys the most credit for "inventing" radio. He was awarded patents for it; therefore, the Patent Office believed that he had made radio-related inventions. However, the U.S. Navy report [4] states
Marconi can scarcely be called an inventor. His contribution was more in the fields of applied research and engineering development. He possessed a very practical business acumen, and he was not hampered by the same driving urge to do fundamental research, which had caused Lodge and Popoff to procrastinate in the development of a commercial radio system.
This is perhaps the most accurate description of Marconi's role in developing radio technology, a new communication medium. Nikola Tesla had earlier patents, although the focus of his work appears to have been directed to the transmission of power rather than to communication via radio waves. Tesla, well known for his Tesla coil that generated high voltages, actually detected signals consisting of noise bursts, resulting from the large atmospheric electrical discharges he originated, that had traveled completely around the earth. In 1943 the U.S. Supreme Court ruled that Marconi's patents were invalid due to Tesla's prior descriptions, but by that time both Marconi and Tesla were deceased [2].
From its beginnings around 1900, radio moved out to fill many communicative voids. In 1962 George Southworth, a well-known researcher in the field of microwaves, wrote a book about his 40 years of experience in the field [5, p. 1]. He begins:
One of the more spectacular technical developments of our age has been radio. Beginning about the turn of the century with ship-to-shore telegraphy, radio has been extended through the years to intercontinental telegraphy, to broadcasting, to radio astronomy and to satellite communications.
Today, after an additional 40 years, Southworth could make a much longer list of radio applications. It would include garage door openers, global positioning satellites, cellular telephones, wireless computer networks, and radar applications such as speed measurement, ship and aircraft guidance, military surveillance, weapon directing, air traffic control, and automobile anticollision systems. The frequency spectrum for practical wireless devices has expanded as well. Amplitude modulated radio begins at 535?kHz and television remote controls extend into the infrared.
The advance of wireless applications is not complete and probably never will be. Certainly the last decade has seen an explosive growth in applications. And the quantities of systems has been extraordinary, too. Witness the adoption of the cellular telephone, which today rivals the wired telephone in numbers of applications.
Sending signals over telegraph wires formed the basis for the early wireless technology to follow. Using the Current International Morse code characters for the early Morse code message transmitted over the first telegraph wires, the first message inaugurating service between Baltimore and Washington, D.C., in 1843, would have looked like
Most of the full code cipher is shown in Figure 1.1-1. Morse code remains useful, although fewer individuals can interpret it on the fly. A distress signal using the code in Figure 1.1-1 can be sent using a transmitting radio or even a flashlight. Marconi's early wireless transmissions used pulse code modulation, dots and dashes achieved by keying the transmitter on and off. Some nautical buoys are identifiable by the Morse letter that their lights flash.
Figure 1.1-1 International Morse Code remains a standard for distress signals, S.O.S. is (. - - - .)
(English Characters, [1]). Derived from the work of Samuel Morse (1791-1872).
Today, Marconi would need a transmitting license, and were he to continue with his prior transmission technique, his license almost certainly would be suspended due to the broad spectrum of his transmissions (Fig. 1.1-2). His RF source was a spark gap oscillator (Fig. 1.1-3), likely occupying a very broad transmission bandwidth. Powered by a several horsepower generator, the operating transmitter was audible without a radio receiver for several miles.
Figure 1.1-2 Modulation format for Morse code, illustrated for letter R. Today, pulse shaping, as suggested above, would be employed to reduce transmission spectrum, but Marconi's spark gap transmitter doubtless spanned an enormously wide bandwidth.
Figure 1.1-3 Joel Earl Hudson standing by Marconi's spark gap transmitter in 1907.
(Photo courtesy of Cape Cod National Seashore.)
Marconi had his pivotal triumph in December, 1901, when the Morse character "s" was received at St. John's, Newfoundland (Figs. 1.1-4 and 1.1-5). It was transmitted from Poldhu, Cornwall England, 1800 miles across the Atlantic Ocean [5, p. 13; 6, p. 4]. From the South Wellfleet station, Marconi, himself, transmitted the first trans-Atlantic message on January 17, 1903, a communication from the president of the United States to the king of England.
Figure 1.1-4 Prime power for Marconi's South Wellfleet transmitter.
(Photo courtesy of Cape Cod National Seashore.)
Figure 1.1-5 Marconi's first wireless station in South Wellfleet, Cape Cod, Massachusetts. Local residents predicted that antennas would blow down in first good storm. They did, and he rebuilt them.
(Photo courtesy of Cape Cod National Seashore.)
Figure 1.1-6 Guglielmo Marconi (left) received the Nobel Prize for his wireless communication work. He is shown in a 1901 photo with assistant George Kemp shortly after a successful wireless transmission test.
(Photo courtesy of Marconi, Ltd., UK.)
1.2 CURRENT RADIO SPECTRUM
Today's radio spectrum is very crowded. Obtaining a commercial license to radiate carries the obligation to use bandwidth efficiently, using as little bandwidth as practical to convey the information to be transmitted (Tables 1.2-1 and 1.2-2).
TABLE 1.2-1 General Frequency Band Designations
Source: From Reference [7, Section...
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