The mathematical radio : inside the magic of AM, FM, and single-sideband

The mathematical radio Inside the magic of AM, FM, and single-sideband

Paul J. Nahin

Book - 2024

"A trade book on the mathematics of radio"--

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Subjects
Radio > Transmitters and transmission > Mathematics.
Radio circuits > Mathematical models.
TECHNOLOGY & ENGINEERING / Radio.
TECHNOLOGY & ENGINEERING / Electronics / Circuits / General.
Published
Princeton, New Jersey : Princeton University Press [2024]
Language
English
Main Author
Paul J. Nahin (author)
Other Authors
Andrew J. Simoson (writer of foreword)
Item Description
Includes bibliographical references and index
Physical Description
lxii, 311 pages : illustrations ; 25 cm
ISBN
9780691235318
  • Foreword
  • Preface
  • 1. Radio Mathematics, Oscillators, and Transmitters
  • 1.1. Kirchhoff's Laws and FitzGerald's Oscillating Circuit
  • 1.2. Laplace Transforms, AC Impedance, and Transfer Functions
  • 1.3. Van der Pol's Negative Resistance Oscillator Equation
  • 1.4. Filters and the Wiener-Paley Theorem
  • 1.5. An Electronic Phase-Shift Oscillator
  • 1.6. Fourier Series and Transforms, and Signal Spectrums
  • 1.7. Impulses in Time and Frequency
  • Challenge Problems
  • 2. More Radio Mathematics: Circuits That Multiply
  • 2.1. Spectrum Shifting at the Transmitter
  • 2.2. Large-Carrier AM
  • 2.3. Convolution, and Multiplying by Squaring and Filtering
  • 2.4. Fleming's Vacuum Tube Diode and the Detection of Radio-Frequency Waves
  • 2.5. Multiplying by Sampling and Filtering
  • 2.6. AM Envelope Detection, Tuning, and Impedance Matching
  • Challenge Problems
  • 3. The AM Radio Receiver
  • 3.1. Prelude to the Superheterodyne
  • 3.2. The Superheterodyne
  • 3.3.. Fancy Heterodyning
  • Challenge Problems
  • 4. SSB Radio
  • 4.1. The Origin of SSB and Carson's SSB Transmitter
  • 4.2. Hilbert Transforms and Hartley's SSB Transmitter
  • 4.3. The Mathematics of the Hilbert Transformer
  • 4.4. The Physics of the Hilbert Transformer
  • 4.5. Receiving an SSB Signal
  • 4.6. Weaver's SSB Transmitter
  • Challenge Problems
  • 5. FM Radio
  • 5.1. Why FM?
  • 5.2. Instantaneous Frequency
  • 5.3. FM Sidebands
  • 5.4. The FM Receiver
  • 5.5. Bilotti's Phase Quadrature Detector
  • Challenge Problems
  • 6. American AM Broadcast Radio: A Historical Postscript
  • A Final Author's Note to the Reader
  • Appendix-Maxwell's Theory, the Poynting Vector, and a Simple Radio Transmitting Antenna Solutions, Partial Answers, and More Hints to Most of the End-of-Chapter Challenge Problems
  • Acknowledgments
  • Illustration Credits
  • Index

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