Detection, Estimation, and Modulation Theory
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1 Detection, Estimation, and Modulation Theory Part II. Nonlinear Modulation Theory HARRY L. VAN TREES George Mason University.WILEY- INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION
2 1 Introduction Review of Part I Topical Outline Organization of the Book 5 References 6 2 Optimum Demodulators Model of an Angle-Modulation System An Intuitive Approach to Demodulator Design Maximum Α-Posterior Estimates Optimum Demodulator Structures System Design and Performance Derivation of the Unrealizable Mean-Square Error Filter Design Practical Considerations Oscillator Model Post-loop Filtering Loop Noise Bandwidth External VCO Control Summary Problems 33 References 35
3 wi 3 Phase Estimation: The Synchronization Problem Oscillator Instability Analysis Nonlinear Analysis in the Absence of Noise First-Order Loop: Constant-Frequency Offset Second-Order Loop: Constant-Frequency Offset Second-Order Loop: Constant Acceleration Nonlinear Analysis in the Presence of Noise Fokker-Planck Techniques Perturbation and Approximation Techniques Related Topics Optimum Tracking Systems: Time-varying Optimum Tracking Systems: Time-invariant Minimum Acquisition Time Systems Phase Detector Design Noisy Acquisition Bandpass Limiters before the Loop Summary: Synchronization Problems Problems 71 References 82 4 Frequency Modulation Model for Frequency-Modulation System Optimum FM Demodulators: Threshold Constraint Conventional Wiener Approach Simplified Wiener Approach State-variable Approach Examples of FM System Design Optimum FM Demodulators: Bandwidth Constraint Summary FM System Design Summary Phase-modulation Systems Comparison of AM, FM, and PM Systems Problems 110 References Optimum Angle-Modulation Systems Optimum Pre-emphasis Filters: Threshold Constraint Optimum Pre-emphasis Filters: Bandwidth Constraint 126
4 5.3 Suboptimum Pre-emphasis Filters Design of Suboptimum Systems Summary 5.4 Bounds on the Performance of Analog Message-Transmission Systems Rate-distortion Bound Performance Comparison: Infinite-bandwidth Channel Performance Comparison: Bandwidth Constraint Summary 5.5 Conventional Discriminators Weak Noise Analysis Threshold Behavior 5.6 Summary 5.7 Problems Rel r erences.w/ Comparison of Transmission Systems Sampled and Quantized Systems Quantizer Analysis Binary Uncoded Systems Orthogonal Signals Coded Digital Systems Summary Problems 199 References 202 Nonlinear Estimation Theory: Alternative Approaches Differential-Equation Approach to MAP Estimation MAP Interval Estimation Realizable MAP Point Estimation and Invariant Imbedding Markov Process Approach Summary Problems 224 References 228
5 xviii 8 Analog Communication over Randomly Timevarying Channels Model and Possible Approaches Model Possible Approaches Derivation of the Optimum Receiver: Rayleigh Channels MAP Equations: Memoryless Rayleigh Channel Angle Modulation: Rayleigh Channel Joint Estimation of Message and Channel Processes Realizable MAP and MMSE Estimators Performance Bounds and Approximations Mean-square Error Bound Perfect-measurement Bound Receiver Design and Performance in Slowly Fluctuating Channels: Quasi-Stationary Analysis Summary 8.5 Problems References Discussion 9.1 Related Topics Multiplex Systems Diversity Systems Synchronization and Tracking Systems 9.2 Summary of Part II 9.3 Preview of Part III and Array Processing 9.4 Problems References Appendix: State Variable Analysis Procedures Glossary Author index Subject Index
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