
Advanced Phase-Lock Techniques
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Content
- Intro
- Contents
- Preface
- CHAPTER 1 Phase-Locked Systems-A High-Level Perspective
- 1.1 PHASE-LOCKED LOOP BASICS
- 1.2 CONTINUOUS-TIME CONTROL SYSTEM PERSPECTIVE FOR PLLS (HIGH SNR)
- 1.3 TIME-SAMPLED PLL SYSTEMS (HIGH SNR)
- 1.4 ESTIMATION THEORETIC PERSPECTIVE (LOW SNR) FOR PLLS
- 1.5 SUMMARY
- References
- CHAPTER 2 Design Notes
- 2.1 SUMMARY OF CLASSIC CONTINUOUS-TIME TYPE-2 SECOND-ORDER PLL DESIGN EQUATIONS
- 2.2 CONTINUOUS-TIME TYPE-2 FOURTH-ORDER PLLS
- 2.3 DISCRETIZED PLLS
- 2.4 HYBRID PLLS INCORPORATING SAMPLE-AND-HOLDS
- 2.5 COMMUNICATION THEORY
- 2.6 SPECTRAL RELATIONSHIPS
- 2.7 TRIGONOMETRY
- 2.8 LAPLACE TRANSFORMS
- 2.9 Z-TRANSFORMS
- 2.10 PROBABILITY AND STOCHASTIC PROCESSES
- 2.11 NUMERICAL SIMULATION
- 2.12 CALCULUS
- 2.13 BUTTERWORTH LOWPASS FILTERS
- 2.14 CHEBYSHEV LOWPASS FILTERS
- 2.15 CONSTANTS
- References
- CHAPTER 3 Fundamental Limits
- 3.1 PHASE MODULATION AND BESSEL FUNCTIONS
- 3.2 HILBERT TRANSFORMS
- 3.3 CAUCHY-SCHWARZ INEQUALITY
- 3.4 RF FILTERING EFFECTS ON FREQUENCY STABILITY
- 3.5 CHEBYSHEV INEQUALITY
- 3.6 CHERNOFF BOUND
- 3.7 CRAMER-RAO BOUND
- 3.8 EIGENFILTERS (OPTIMAL FILTERS)
- 3.9 FANO BROADBAND MATCHING THEOREM
- 3.10 LEESON-SCHERER PHASE NOISE MODEL
- 3.11 THERMAL NOISE LIMITS
- 3.12 NYQUIST SAMPLING THEOREM
- 3.13 PALEY-WIENER CRITERION
- 3.14 PARSEVAL'S THEOREM
- 3.15 POISSON SUM
- 3.16 TIME-BANDWIDTH PRODUCT
- 3.17 MATCHED-FILTERS FOR DETERMINISTIC SIGNALS IN ADDITIVE WHITE GAUSSIAN NOISE (AWGN)
- 3.18 WEAK LAW OF LARGE NUMBERS
- References
- Appendix 3A: Maximum-Likelihood Frequency Estimator
- Appendix 3B: Phase Probability Density Function for Sine Wave in AWGN
- CHAPTER 4 Noise in PLL-Based Systems
- 4.1 INTRODUCTION
- 4.2 SOURCES OF NOISE
- 4.3 POWER SPECTRAL DENSITY CONCEPT FOR CONTINUOUS-TIME STOCHASTIC SIGNALS
- 4.4 POWER SPECTRAL DENSITY FOR DISCRETE-TIME SAMPLED SYSTEMS
- 4.5 PHASE NOISE FIRST PRINCIPLES
- 4.6 RANDOM PHASE NOISE
- 4.7 NOISE IMPRESSION ON TIME AND FREQUENCY SOURCES
- References
- Appendix 4A: Review of Stochastic Random Processes
- Appendix 4B: Accurate Noise Modeling for Computer Simulations
- Appendix 4C: Creating Arbitrary Noise Spectra in a Digital Signal Processing Environment
- Appendix 4D: Noise in Direct Digital Synthesizers
- CHAPTER 5 System Performance
- 5.1 SYSTEM PERFORMANCE OVERVIEW
- 5.2 INTEGRATED PHASE NOISE
- 5.3 LOCAL OSCILLATORS FOR RECEIVE SYSTEMS
- 5.4 LOCAL OSCILLATORS FOR TRANSMIT SYSTEMS
- 5.5 LOCAL OSCILLATOR PHASE NOISE IMPACT ON DIGITAL COMMUNICATION ERROR RATE PERFORMANCE
- 5.6 PHASE NOISE EFFECTS ON OFDM SYSTEMS
- 5.7 PHASE NOISE EFFECTS ON SPREAD-SPECTRUM SYSTEMS
- 5.8 PHASE NOISE IMPACT FOR MORE ADVANCED MODULATION WAVEFORMS
- 5.9 CLOCK NOISE IMPACT ON DAC PERFORMANCE
- 5.10 CLOCK NOISE IMPACT ON ADC PERFORMANCE
- References
- Appendix 5A: Image Suppression and Error Vector Magnitude
- Appendix 5B: Channel Capacity and Cutoff Rate
- CHAPTER 6 Fundamental Concepts for Continuous-Time Systems
- 6.1 CONTINUOUS VERSUS DISCRETE TIME
- 6.2 BASIC CONTINUOUS-TIME PHASE-LOCKED LOOPS
- 6.3 ADDITIONAL RESULTS FOR THE IDEAL TYPE-2 PLL
- 6.4 LOOP FILTERS
- 6.5 MORE COMPLICATED LOOP FILTERS
- 6.6 TYPE-3 PLL
- 6.7 HAGGAI CONSTANT PHASE MARGIN LOOP (9 DB PER OCTAVE)
- 6.8 PSEUDO-CONTINUOUS PHASE DETECTOR MODELS
- 6.9 STABILITY ANALYSIS
- 6.10 TRANSIENT RESPONSE EVALUATION FOR CONTINUOUS-TIME SYSTEMS
- References
- Appendix 6A: Simplification of Linear Systems
- Appendix 6B: Bandwidth Considerations for Continuous-Time Modeling of Time-Sampled Systems
- Appendix 6C: Christiaan Huygens and Phase-Locked Pendulum Clocks
- Appendix 6D: Admittance Matrix Methods for Analyzing Complex Loop Filters
- CHAPTER 7 Fundamental Concepts for Sampled-Data Control Systems
- 7.1 SAMPLED SIGNAL BASICS
- 7.2 RELATIONSHIPS BETWEEN CONTINUOUS-TIME AND DISCRETE-TIME SIGNAL REPRESENTATIONS
- 7.3 SAMPLED-TIME PLL
- 7.4 STABILITY ASSESSMENT FOR SAMPLED SYSTEMS
- 7.5 TIME-DOMAIN RESPONSE
- 7.6 CLOSED-FORM RESULTS FOR SAMPLED PLLS
- 7.7 PSEUDO-CONTINUOUS VERSUS SAMPLED SYSTEM ANALYSIS
- 7.8 NOISE IN SAMPLED SYSTEMS
- References
- Appendix 7A: Additional Closed-Form Results for Sampled PLLs
- CHAPTER 8 Fractional-N Frequency Synthesizers
- 8.1 A BRIEF HISTORY OF FRACTIONAL-N SYNTHESIS
- 8.2 ANALOG-BASED FRACTIONAL-N SYNTHESIS
- 8.3 -S MODULATOR FUNDAMENTALS
- 8.4 -S FREQUENCY SYNTHESIS ARCHITECTURES
- 8.5 SINGLE-BIT VERSUS MULTIPLE-BIT OUTPUT -S MODULATORS
- 8.6 COMBATING DISCRETE SPURIOUS TONES
- 8.7 -S FRACTIONAL-N CAVEATS TO AVOID
- 8.8 FINAL RECOMMENDATIONS
- References
- CHAPTER 9 Oscillators
- 9.1 LINEAR OSCILLATOR THEORY
- 9.2 OSCILLATOR CONFIGURATIONS
- 9.3 OSCILLATOR USAGE IN PHASE-LOCKED LOOPS
- 9.4 OSCILLATOR IMPAIRMENTS
- 9.5 CLASSICAL PHASE NOISE MODELS
- 9.6 NONLINEAR OSCILLATORS AND NOISE
- References
- CHAPTER 10 Clock and Data Recovery
- 10.1 CLOCK AND DATA RECOVERY BASICS
- 10.2 SIGNALING WAVEFORMS
- 10.3 INTERSYMBOL INTERFERENCE
- 10.4 BIT ERROR RATE
- 10.5 OPTIMAL TIMING RECOVERY METHODS
- 10.6 BIT ERROR RATE INCLUDING TIME RECOVERY
- 10.7 FINAL THOUGHTS
- References
- Appendix 10A: BER Calculation Using the Gil-Pelaez Theorem
- Acronyms and Abbreviations
- List of Symbols
- About the Author
- Index
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