Home Page Icon
Home Page
Table of Contents for
Titlepage
Close
Titlepage
by Apostolos Georgiadis, Ronald J. Pogorzelski
Coupled-Oscillator Based Active-Array Antennas
Coverpage
Titlepage
Copyright
Dedication
Contents
Foreword
Preface
Acknowledgments
Authors
PART I: THEORY AND ANALYSIS
Chapter 1 Introduction—Oscillators and Synchronization
1.1 Early Work in Mathematical Biology and Electronic Circuits
1.2 van der Pol’s Model
1.3 Injection Locking (Adler’s Formalism) and Its Spectra (Locked and Unlocked)
1.4 Mutual Injection Locking of Two Oscillators
1.5 Conclusion
Chapter 2 Coupled-Oscillator Arrays—Basic Analytical Description and Operating Principles
2.1 Fundamental Equations
2.2 Discrete Model Solution (Linearization and Laplace Transformation)
2.3 Steady-State Solution
2.4 Stability of the Phase Solution in the Full Nonlinear Formulation
2.5 External Injection Locking
2.6 Generalization to Planar Arrays
2.7 Coupling Networks
2.8 Conclusion
Chapter 3 The Continuum Model for Linear Arrays
3.1 The Linear Array without External Injection
3.2 The Linear Array with External Injection
3.3 Beam-Steering via End Detuning
3.4 Beam-Steering via End Injection
3.5 Conclusion
Chapter 4 The Continuum Model for Planar Arrays
4.1 Cartesian Coupling in the Continuum Model without External Injection
4.2 Cartesian Coupling in the Continuum Model with External Injection
4.3 Non-Cartesian Coupling Topologies
4.4 Conclusion
Chapter 5 Causality and Coupling Delay
5.1 Coupling Delay
5.2 The Discrete Model with Coupling Delay
5.3 The Continuum Model with Coupling Delay
5.4 Beam Steering in the Continuum Model with Coupling Delay
5.5 Conclusion
PART II: EXPERIMENTAL WORK AND APPLICATIONS
Chapter 6 Experimental Validation of the Theory
6.1 Linear-Array Experiments
6.2 Planar-Array Experiments
6.3 Receive-Array Experiments
6.4 Phase Noise
6.5 The Unlocked State
6.6 Conclusion
PART III: NONLINEAR BEHAVIOR
Chapter 7 Perturbation Models for Stability, Phase Noise, and Modulation
7.1 Preliminaries of Dynamical Systems
7.1.1 Introduction to Stability Analysis of Nonlinear Dynamical Systems
7.1.2 Equilibrium Point
7.1.3 Periodic Steady State
7.1.4 Lyapunov Exponents
7.2 Bifurcations of Nonlinear Dynamical Systems
7.2.1 Bifurcations of Equilibrium Points
7.2.2 Bifurcations of Periodic Orbits
7.3 The Averaging Method and Multiple Time Scales
7.4 Averaging Theory in Coupled Oscillator Systems
7.5 Obtaining the Parameters of the van der Pol Oscillator Model
7.6 An Alternative Perturbation Model for Coupled-Oscillator Systems
7.7 Matrix Equations for the Steady State and Stability Analysis
7.8 A Comparison between the Two Perturbation Models for Coupled Oscillator Systems
7.9 Externally Injection-Locked COAs
7.10 Phase Noise
7.11 Modulation
7.12 Coupled Phase-Locked Loops
7.13 Conclusion
Chapter 8 Numerical Methods for Simulating Coupled-Oscillator Arrays
8.1 Introduction to Numerical Methods
8.1.1 Transient Simulation
8.1.2 Harmonic Balance Simulation
8.1.3 Conversion Matrix
8.1.4 Envelope Transient Simulation
8.1.5 Continuation Methods
8.2 Obtaining Periodic Steady-State Solutions of Autonomous Circuits in Harmonic-Balance Simulators
8.3 Numerical Analysis of a Voltage-Controlled Oscillator
8.4 Numerical Analysis of a Five-Element Linear Coupled-Oscillator Array
8.5 Numerical Analysis of an Externally Injection-Locked Five-Element Linear Coupled-Oscillator Array
8.6 Harmonic Radiation for Extended Scanning Range
8.7 Numerical Analysis of a Self-Oscillating Mixer
8.8 Conclusion
Chapter 9 Beamforming in Coupled-Oscillator Arrays
9.1 Preliminary Concepts of Convex Optimization
9.2 Beamforming in COAs
9.3 Stability Optimization of the Coupled-Oscillator Steady-State Solution
9.4 Multi-Beam Pattern Generation Using Coupled-Oscillator Arrays
9.5 Control of the Amplitude Dynamics
9.6 Adaptive Coupled-Oscillator Array Beamformer
9.7 Conclusion
Chapter 10 Overall Conclusions and Possible Future Directions
REFERENCES
ACRONYMS AND ABBREVIATIONS
INDEX
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Prev
Previous Chapter
Coupled-Oscillator Based Active-Array Antennas
Next
Next Chapter
Copyright
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset