
Discrete Oscillator Design
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Content
- Intro
- Discrete Oscillator Design:Linear, Nonlinear, Transient, and Noise Domains
- Contents
- Preface
- 1 Linear Techniques
- 1.1 Open-Loop Method
- 1.2 Starting Conditions
- 1.2.1 Match Requirements
- 1.2.2 Aligning the Maximum Phase Slope
- 1.2.3 Stable Amplifier
- 1.2.4 Gain Peak at Phase Zero Intersection
- 1.2.5 Moderate Gain
- 1.3 Random Resonator and Amplifier Combination
- 1.4 Naming Conventions
- 1.5 Amplifiers for Sustaining Stages
- 1.5.1 Bipolar Amplifier Configurations
- 1.5.2 Stabilizing Bipolar Amplifiers
- 1.5.3 Stabilized FET Amplifier Configurations
- 1.5.4 Basic Common Emitter Amplifier
- 1.5.5 Statistical Analysis of the Amplifier
- 1.5.6 Amplifier with Resistive Feedback
- 1.5.7 General-Purpose Resistive-Feedback Amplifier
- 1.5.8 Transformer-Feedback Amplifiers
- 1.5.9 Monolythic Microwave Integrated Circuit Amplifiers
- 1.5.10 Differential Amplifiers
- 1.5.11 Phase-Lead Compensation
- 1.5.12 Amplifier Summary
- 1.6 Resonators
- 1.6.1 R-C Phase Shift Network
- 1.6.2 Delay-Line Phase-Shift Network
- 1.6.3 L-C Parallel and Series Resonators
- 1.6.4 Loaded Q
- 1.6.5 Unloaded Q
- 1.6.6 Resonator Loss
- 1.6.7 Colpitts Resonator
- 1.6.8 Resonator Coupling
- 1.6.9 Matching with the Resonator
- 1.6.10 Measuring the Unloaded Q
- 1.6.11 Coupled Resonator Oscillator Example
- 1.6.12 Resonator Summary
- 1.7 One-Port Method
- 1.7.1 Negative-Resistance Oscillators
- 1.7.2 Negative-Conductance Oscillators
- 1.8 Analyzing Existing Oscillators
- 1.9 Optimizing the Design
- 1.10 Statistical Analysis
- 1.11 Summary
- References
- 2 Nonlinear Techniques
- 2.1 Introduction
- 2.2 Harmonic Balance Overview
- 2.3 Nonlinear Amplifiers
- 2.3.1 Quiescent Current and Compression
- 2.3.2 Impedance Shift
- 2.3.3 Phase Shift
- 2.3.4 Output Spectrum
- 2.3.5 Time Domain Waveform
- 2.3.6 Conversion Efficiency
- 2.3.7 Operating Class
- 2.3.8 Power Amplifier Case Study
- 2.4 Nonlinear Open-Loop Cascade
- 2.4.1 Nonlinear Open-Loop Cascade Example 1
- 2.4.2 Nonlinear Open-Loop Cascade Example 2
- 2.5 Nonlinear HB Colpitts Example
- 2.5.1 Closing the Loop and Excitation
- 2.5.2 Harmonic Balance Colpitts Output Spectrum
- 2.5.3 Excitation Current Versus Oscillator Parameters
- 2.6 Nonlinear Negative-Resistance Oscillator
- 2.7 Output Coupling
- 2.7.1 Coupling Node
- 2.7.2 Load Pulling
- 2.7.3 Loaded Q and Load Pulling
- 2.7.4 Degree of Coupling
- 2.7.5 Loaded Q and Coupling
- 2.7.6 Coupling Reactance and Load Pulling
- 2.7.7 Coupling Reactance and Harmonics
- 2.7.8 Output Coupling Example 2
- 2.7.9 Coupling Summary
- 2.8 Passive Level Control
- 2.9 Supply Pushing
- 2.10 Spurious Modes
- 2.10.1 Unstable Amplifiers
- 2.10.2 Multiple Phase Zero Crossings
- 2.10.3 Bias Relaxation Modes
- 2.10.4 Parametric Modes
- 2.10.5 Multiple Resonance Modes
- 2.10.6 Spurious Mode Summary
- 2.11 Ultimate Test
- References
- 3 Transient Techniques
- 3.1 Introduction
- 3.2 Starting Modes
- 3.2.1 Noise Mode of Starting
- 3.2.2 Transient Mode of Starting
- 3.2.3 Time Constant of the Supply Step
- 3.3 Starting Basic Example
- 3.4 Simulation Techniques
- 3.4.1 SPICE
- 3.4.2 Cayenne
- 3.5 Second Starting Example
- 3.6 Starting Case Study
- 3.7 Triggering
- 3.8 Simulation Techniques for High Loaded Q
- 3.9 Steady-State Oscillator Waveforms
- 3.9.1 Clapp Oscillator Waveforms
- 3.9.2 The Resonator Voltage
- 3.9.3 Varactor Coupling
- 3.10 Waveform Derived Output Spectrum
- References
- 4 Noise
- 4.1 Definitions
- 4.1.1 Vector Representation of the Oscillator Output
- 4.1.2 Jitter
- 4.1.3 The Output in the Frequency Domain
- 4.1.4 SSB Phase Noise
- 4.1.5 Residual FM and Residual PM
- 4.1.6 Two-Port Noise
- 4.1.7 Acoustic Disturbances
- 4.2 Predicting Phase Noise
- 4.2.1 Linear Time Invariant Theory
- 4.2.2 Extensions to LTI-Based Theory
- 4.2.3 Linear Time Variant Theory
- 4.3 Measuring Phase Noise
- 4.3.1 Direct Method with a Spectrum Analyzer
- 4.3.2 Selective Receiver Method
- 4.3.3 Heterodyne/Counter Method
- 4.3.4 Reference Oscillator Method
- 4.3.5 Frequency Discriminator Method
- 4.3.6 Example Phase-Noise Measurement System
- 4.4 Designing for Low Phase Noise
- 4.4.1 Estimating the Predominant Noise Source
- 4.4.2 Reducing Leeson Noise
- 4.4.3 Reducing Pushing Induced Noise
- 4.4.4 Reducing Buffer Noise
- 4.4.5 Reducing Varactor Modulation Noise
- 4.4.6 Reducing Oscillator Noise Summary
- 4.5 Nonlinear Noise Simulation
- 4.5.1 Negative Resistance Oscillator Noise Example
- 4.5.2 Linear Oscillator Phase Noise Example
- 4.6 PLL Noise
- References
- 5 General-Purpose Oscillators
- 5.1 Comments on the Examples
- 5.2 Oscillators Without Resonators
- 5.2.1 R-C Oscillators
- 5.2.2 Wien Bridge
- 5.2.3 Multivibrators
- 5.2.4 Ring Oscillators
- 5.2.5 Twin-T Oscillators
- 5.3 L-C Oscillators
- 5.3.1 Colpitts
- 5.3.2 Clapp
- 5.3.3 Seiler
- 5.3.4 Hartley
- 5.3.5 Pierce
- 5.3.6 Coupled Series Resonator
- 5.3.7 Rhea
- 5.3.8 Coupled Parallel Resonator
- 5.3.9 Gumm
- 5.3.10 Simplified Gumm
- 5.4 Oscillator Topology Selection
- References
- 6 Distributed Oscillators
- 6.1 Resonator Technologies
- 6.2 Lumped and Distributed Equivalents
- 6.3 Quarter-Wavelength Resonators
- 6.3.1 The Quarter-Wavelength Resonator
- 6.3.2 Ceramic-Loaded Coaxial Resonators
- 6.3.3 Capacitor-Loaded Quarter-Wavelength Resonator
- 6.4 Distributed Oscillator Examples
- 6.4.1 Negative-Resistance Hybrid Oscillator
- 6.4.2 Negative-Resistance High-Power 1 GHz Oscillator
- 6.4.3 Quarter-Wavelength Hybrid Oscillator
- 6.4.4 Simple Hybrid Coaxial Resonator MMIC
- 6.4.5 Probe-Coupled Coaxial Resonator Bipolar
- 6.4.6 End-Coupled Hybrid Half-Wavelength Bipolar
- 6.4.7 Helical Transmission Line Resonator Bipolar
- 6.5 DRO Oscillators
- 6.5.1 Dielectric Resonator Basic Properties
- 6.5.2 Dielectric Resonator Resonant Frequency
- 6.5.3 Dielectric Resonator Unloaded Q
- 6.5.4 Dielectric Resonator Coupling
- 6.5.5 DRO Examples
- 6.5.6 Coupling Test by Modulation
- References
- 7 Tuned Oscillators
- 7.1 Resonator Tuning Bandwidth
- 7.2 Resonator Voltage
- 7.3 Permeability Tuning
- 7.4 Tunable Oscillator Examples
- 7.4.1 Permeability Tuned Colpitts JFET
- 7.4.2 Vackar JFET VCO
- 7.4.3 Hybrid Negative Resistance VCO
- 7.4.4 Capacitor-Transformed Negative-Resistance VCO
- 7.4.5 Negative-Resistance VCO with Transformer
- 7.4.6 Negative-Conductance VCO
- 7.4.7 Hybrid Coaxial Resonator MMIC
- 7.4.8 Loaded Quarter-Wavelength MMIC
- 7.4.9 Seiler Coaxial-Resonator CC VCO
- 7.5 YIG Oscillators
- References
- 8 Piezoelectric Oscillators
- 8.1 Bulk Quartz Resonators
- 8.1.1 Quartz Blank Cuts
- 8.1.2 Crystal Resonator Model
- 8.1.3 Calculating Crystal Resonator Parameters
- 8.1.4 Crystal Resonator Frequency Pulling
- 8.1.5 Inverted-Mesa Crystal Resonators
- 8.1.6 Crystal Oscillator Operating Mode
- 8.1.7 Crystal Oscillator Frequency Accuracy
- 8.1.8 Temperature Effects on Crystal Oscillators
- 8.1.9 Crystal Resonator Drive Level
- 8.1.10 Crystal Resonator Spurious Modes
- 8.1.11 Crystal Resonator Aging
- 8.1.12 Crystal Resonator 1/f Noise
- 8.1.13 Crystal Resonator Acceleration Effects
- 8.1.14 Crystal Resonator Standard Holders
- 8.2 Fundamental Mode Crystal Oscillators
- 8.2.1 Miller JFET Crystal
- 8.2.2 Colpitts Bipolar Crystal
- 8.2.3 Colpitts JFET Crystal
- 8.2.4 Pierce Bipolar Crystal
- 8.2.5 Pierce MMIC Crystal
- 8.2.6 Pierce Inverter TTL Crystal
- 8.2.7 Pierce Inverter CMOS Crystal
- 8.2.8 Butler Dual Bipolar Crystal
- 8.2.9 Driscoll Bipolar Crystal
- 8.2.10 Inverted-Mesa Pierce Bipolar Crystal
- 8.3 Overtone Mode Crystal Oscillators
- 8.3.1 Colpitts Overtone Bipolar Crystal
- 8.3.2 CB Butler Overtone Bipolar Crystal
- 8.3.3 CC Butler Overtone Bipolar Crystal
- 8.4 Crystal Oscillator Examples Summary
- 8.5 Oscillator with Frequency Multiplier
- 8.6 Crystal Oscillator Starting
- 8.7 Surface Acoustic Wave Resonators
- 8.7.1 SAW Resonator Models
- 8.7.2 SAW Resonator Frequency Stability
- 8.8 SAW Oscillators
- 8.8.1 SAW 1-Port Colpitts Bipolar
- 8.8.2 SAW 1-Port Butler Bipolar
- 8.8.3 SAW 2-Port Pierce MMIC
- 8.9 Piezoelectric Ceramic Resonators
- 8.9.1 Ceramic Resonator Models
- 8.9.2 Ceramic Resonator Accuracy and Stability
- 8.9.3 Ceramic Resonator Oscillators
- 8.10 MEMS and FBAR Resonators
- References
- Appendix A: Modeling
- A.1 Capacitors
- A.1.1 Capacitor: First-Level Model
- A.1.2 Capacitor: Second-Level Model
- A.1.3 Capacitor: Third-Level Model
- A.2 Varactors
- A.3 Inductors
- A.3 Inductors
- A.3.1 Single-Layer Wire Solenoid
- A.3.2 Toroid
- A.3.3 Ferrite Beads
- A.3.4 Mutually Coupled Inductors
- A.4 Helical Transmission Lines
- A.5 Signal Control Devices
- A.5.1 Bifilar Transformer Operating Modes
- A.5.2 Ruthroff Impedance Transformer
- A.5.3 Wire-Wound Couplers
- A.6 Characteristic Impedance of Transmission Lines
- A.6.1 Coax
- A.6.2 Coax with Square Ground
- A.6.3 Rod over Ground
- A.6.4 Rod over Flat Ground with Dielectric Layer
- A.6.5 Rod Between Ground Planes
- A.6.6 Stripline
- A.6.7 Microstrip
- A.6.8 Twisted-Pair Transmission Line
- A.7 Helical Resonators
- References
- Appendix B: Device Biasing
- B.1 Biasing Bipolar Transistors
- B.1.1 Bipolar Model for Biasing
- B.1.2 Common Emitter Bias Networks
- B.1.3 Bias 7 Network with Base Diode
- B.1.4 Bias 8 Network with Zener
- B.1.5 Bias 9 Active Network
- B.1.6 Bias 10 Dual Supply
- B.1.7 Bias 11 Common Collector Network
- B.1.8 Bipolar Bias Network Summary
- B.1.9 Saturated Output Power and Biasing
- B.2 FET Bias Networks
- B.2.1 Bias 15 Simple FET Network
- B.2.2 Bias 16 Gate Voltage
- B.2.3 Bias 17 Source FB
- B.2.4 Bias 18 Dual-Gate FET
- B.3 Bias 19 MMIC Gain Block
- References
- Constants and Symbols
- About the Author
- Index
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