1 The Early History of Phase-Locked Loops. - 1. 1 History. - 1. 2 References. - 2 Analog Phase-Locked Loops. - 2. 1 Time Domain Analysis of Phase-Locked Loops. - 2. 2 Frequency Domain Analysis of Phase-Locked Loops. - 2. 3 Partial Fraction Expansion. - 2. 4 First Order Loop Responses. - 2. 5 Definition of Loop Order. - 2. 6 Second Order Phase-Locked Loops. - 2. 7 Third Order Phase-Locked Loops. - 2. 8 References. - 2. 9 Problems. - 3 Root Locus and Frequency Analysis. - 3. 1 Root Locus. - 3. 2 Frequency Analysis. - 3. 3 FM Demodulator. - 3. 4 Noise Bandwidth. - 3. 5 Third Order Phase-Locked Loop Design. - 3. 6 References. - 3. 7 Problems. - 4 Acquisition and Tracking. - 4. 1 First Order Acquisition. - 4. 2 Second Order Loop Acquisition. - 4. 3 Acquisition in Noise. - 4. 4 Frequency Sweeping. - 4. 5 Acquisition Summary. - 4. 6 Summary of Analog Phase-Locked Loop Design Equations. - 4. 7 References. - 4. 8 Problems. - 5 Digital Transforms. - 5. 1 The Pulse Transform. - 5. 2 Z Transform. - 5. 3 Inverse Z-Transform. - 5. 4 Partial Fraction Expansion. - 5. 5 Synthetic Division. - 5. 6 Modified Z-Transform. - 5. 7 Zero Order Hold. - 5. 8 References. - 5. 9 Problems. - 6 Digital Closed Loop Analysis. - 6. 1 Loops With Samplers. - 6. 2 Multirate Sampling. - 6. 3 References. - 6. 4 Problems. - 7 Digital Transformations of Analog Phase-Locked Loops. - 7. 1 Analog Loop Transformations. - 7. 2 All Digital Loops With Block Elements. - 7. 3 Loop Filter Transformations. - 7. 4 VCOs. - 7. 5 Complete Digital PLL Equations. - 7. 6 References. - 7. 7 Problems. - 8 Stability and Frequency Response of Digital Loops. - 8. 1 Stability. - 8. 2 Noise Bandwidth of Digital Phase-Locked Loops. - 8. 3 Sampling Rate Effect Upon Loop Bandwidth. - 8. 4 References. - 8. 5 Problems. - 9 All Digital Phase-Locked Loops. - 9. 1 Non-Uniform Sampling. - 9. 2 Noise Analysis of the Second Order Loop. - 9. 3 Noise Bandwidthof First Order Loops. - 9. 4 Components of Digital Phase-Locked Loops. - 9. 5 Phase Detectors. - 9. 6 References. - 9. 7 Problems. - 10 Digital PLL Responses and Acquisition. - 10. 1 Linearized Input Responses. - 10. 2 Nonlinear Analysis. - 10. 3 Phase Plane Analysis. - 10. 4 Phase Error Variance. - 10. 5 Probability of Acquisition. - 10. 6 Probability of Cycle Slip. - 10. 7 Nonlinear Analysis of Second Order Loops. - 10. 8 Acquisition for Non-Uniform Sampling Phase-Locked Loops. - 10. 9 References. - 10. 1 Problems. - 11 Synchronizers for Digital Communications. - 11. 1 The Synchronization Problem. - 11. 2 BPSK and QPSK Synchronization. - 11. 3 Lock Detectors. - 11. 4 Costas Loops. - 11. 5 Timing Synchronizers. - 11. 6 Interpolators. - 11. 7 References. - 11. 8 Problems. - 12 Phase Noise Analysis. - 12. 1 Introduction to Phase Noise. - 12. 2 Phase Noise in Phase-Locked Loops. - 12. 3 Phase Noise of Oscillators. - 12. 4 Phase Noise of Dividers. - 12. 5 Consequences of Phase Noise. - 12. 6 Phase Noise Measurements. - 12. 7 References. - 12. 8 Problems. - Appendix A Laplace Transforms. - Appendix B Z Transforms. Language: English