UID:
almahu_9947366447302882
Format:
1 online resource (ix, 309 p.) :
,
ill.
ISBN:
9780080956329 (e-book)
,
9780123400505 (hbk.)
Series Statement:
Mathematics in science and engineering ; 123
Content:
This book addresses two groups of readers. The first includes communication engineers and scientists and students of communication theory who need to cope with basic problems arising in communication with optical signals. The ultimate detectability of optical signals and the accuracy with which their parameters can be estimated cannot be ascertained by the methods of detection theory that apply at radio frequencies; the fundamental concepts of the theory must be revised, and this book shows how. The second group of readers comprises physicists interested in the foundations and applications of quantum mechanics, for whom it may be fruitful to consider quatum measurement as a process of decision among alternative density operators, or as an estimation of certain parameters of the density operator of a quantum system. May they find the problems analyzed here a challenge to their conceptions of the quantum theory.
Note:
Chapter I. Decision and Estimation; Chapter II. Classical Detection and Estimation Theory; 1. Hypothesis Testing; 2. Binary Decisions; 3. Reception of Multiple Signals; 4. Estimation Theory; 5. Bounds on Estimation Errors; Chapter III. Quantum Mechanics; 1. State Vectors and Operators; 2. Quantum Observation and Measurement; 3. Independent Quantum Systems; Chapter IV. Quantum Hypothesis Testing; 1. Multiple Hypotheses; 2. Binary Decisions; 3. The Threshold Detector; Appendix: Decisions Among Linearly Independent Pure StatesChapter V. Quantum Electromagnetism; 1. Normal Modes in the Classical Theory; 2. The Quantization of the Field; 3. The Coherent-State Representation; 4. The Harmonic Oscillator with Thermal Noise; 5. Coherent-State Representations for Multiple Modes; 6. Naimark Extension of the Coherent-State Probability-Operator Measure; 7. Unitary Transformations of Modal Amplitudes; 8. The External Field; 9. The Aperture Field; 10. The Thermal Background; Chapter VI. Detection of Coherent Light; 1. Binary Coherent Signals; 2. Orthogonal Signals; 3. Other Problems in Coherent DetectionAppendix: The Counting Receiver for M Orthogonal Signals; Chapter VII. Detection of Incoherent Light; 1. The Density Operator; 2. The Optimum and Threshold Receivers; 3. The Degrees of Freedom in the Signal; 4. Detection of Point Sources; 5. Detection of Extended Objects; 6. The Resolution of Point Sources; Chapter VIII. Quantum Estimation Theory; 1. The Bayesian Formulation; 2. The Estimation of Displacement Parameters; 3. The Amplitude of a Coherent Signal; 4. The Quantum Cramer-Rao Inequality; 5. Arrival Time and Carrier Frequency of a Signal; 6. Parameters of an Incoherent Light Field; Appendix: Derivation of (1.48) and (1.49); Chapter IX. Epilogue; References; Index.
Language:
English
