Many processes in nature arise from the interaction of periodic phenomena with random phenomena. The results are processes that are not periodic, but whose statistical functions are periodic functions of time. These processes are called cyclostationary and are an appropriate mathematical model for signals encountered in many fields including communications, radar, sonar, telemetry, acoustics, mechanics, econometrics, astronomy, and biology.
Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations addresses these issues and includes the following key features.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Dedication - p. v 6. About the Author - p. xix 7. Preface - p. xxi 8. Acknowledgment - p. xxxi 9. List of Abbreviations - p. xxxiii 10. Notation - p. xxxv 11. Part 1: Cyclostationarity - p. xxxv 12. 1: Characterization of stochastic processes - p. xxxv 13. 2: Characterization of time-series - p. 35 14. 3: Almost-cyclostationary signal processing - p. 79 15. 4: Higher-order cyclostationarity - p. 131 16. 5: Ergodic properties and measurement of characteristics - p. 170 17. 6: Quadratic time-frequency distributions - p. 253 18. 7: Manufactured signals - p. 268 19. 8: Detection and cycle frequency estimation - p. 284 20. 9: Communications systems: design and analysis - p. 326 21. 10: Selected topics and applications - p. 353 22. Part 2: Generalizations - p. 365 23. 11: Limits of the ACS model - p. 365 24. 12: Generalized almost-cyclostationary signals - p. 378 25. 13: Spectrally correlated signals - p. 405 26. 14: Oscillatory almost-cyclostationary signals - p. 430 27. 15: The big picture - p. 461 28. Part 3: Appendices - p. 468 29. A: Nonstationary signal analysis - p. 468 30. B: Almost-periodic functions - p. 478 31. C: Sampling and replication - p. 488 32. D: Hilbert transform, analytic signal, and complex envelope - p. 495 33. E: Complex random vectors, quadratic forms, and chi squared distribution - p. 506 34. F: Bibliographic notes - p. 519 35. Bibliography - p. 525 36. Index - p. 587
Many processes in nature arise from the interaction of periodic phenomena with random phenomena. The results are processes that are not periodic, but whose statistical functions are periodic functions of time. These processes are called cyclostationary and are an appropriate mathematical model for signals encountered in many fields including communications, radar, sonar, telemetry, acoustics, mechanics, econometrics, astronomy, and biology.
Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations addresses these issues and includes the following key features.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Dedication - p. v 6. About the Author - p. xix 7. Preface - p. xxi 8. Acknowledgment - p. xxxi 9. List of Abbreviations - p. xxxiii 10. Notation - p. xxxv 11. Part 1: Cyclostationarity - p. xxxv 12. 1: Characterization of stochastic processes - p. xxxv 13. 2: Characterization of time-series - p. 35 14. 3: Almost-cyclostationary signal processing - p. 79 15. 4: Higher-order cyclostationarity - p. 131 16. 5: Ergodic properties and measurement of characteristics - p. 170 17. 6: Quadratic time-frequency distributions - p. 253 18. 7: Manufactured signals - p. 268 19. 8: Detection and cycle frequency estimation - p. 284 20. 9: Communications systems: design and analysis - p. 326 21. 10: Selected topics and applications - p. 353 22. Part 2: Generalizations - p. 365 23. 11: Limits of the ACS model - p. 365 24. 12: Generalized almost-cyclostationary signals - p. 378 25. 13: Spectrally correlated signals - p. 405 26. 14: Oscillatory almost-cyclostationary signals - p. 430 27. 15: The big picture - p. 461 28. Part 3: Appendices - p. 468 29. A: Nonstationary signal analysis - p. 468 30. B: Almost-periodic functions - p. 478 31. C: Sampling and replication - p. 488 32. D: Hilbert transform, analytic signal, and complex envelope - p. 495 33. E: Complex random vectors, quadratic forms, and chi squared distribution - p. 506 34. F: Bibliographic notes - p. 519 35. Bibliography - p. 525 36. Index - p. 587
