Detection of (almost) cyclostationary signals in single and multiple channels / von Stefanie Horstmann ; Erster Gutachter: Prof. Dr. Peter J. Schreier, Zweiter Gutachter: Prof. Dr. David Ramírez. Paderborn, 2024
Inhalt
- Acronyms and notation
- 1 Introduction
- 2 Preliminaries
- 3 Stochastic representation of the generalized likelihood ratio test statistics under the null hypothesis
- 3.1 Introduction
- 3.2 Problem formulation
- 3.3 Derivation of the GLR
- 3.4 Stochastic representation of the GLR under H0
- 3.5 Numerical Evaluation
- 3.6 Conclusion
- 4 Joint detection of almost-cyclostationary signals and estimation of their cycle period
- 4.1 Introduction
- 4.2 Problem Formulation
- 4.3 Resampling Stage
- 4.4 Multiple Hypothesis Test
- 4.5 Numerical Results
- 4.6 Conclusion
- 5 Two-channel passive detection
- 5.1 Introduction
- 5.2 Problem formulation
- 5.3 Derivation of the GLRT
- 5.4 Derivation of optimal invariant tests
- 5.5 Interpretation of the test statistics
- 5.6 LMPIT-inspired detector
- 5.7 Numerical results
- 5.8 Conclusion
- 6 Two-channel passive detection of cyclostationary signals in noise with spatio-temporal structure
- 6.1 Introduction
- 6.2 Problem formulation
- 6.3 Derivation of the GLRT
- 6.4 Numerical results
- 6.5 Conclusion
- 7 Generalization to multistatic passive detection
- 7.1 Introduction
- 7.2 Problem formulation
- 7.3 Derivation of the GLRT
- 7.4 Derivation of optimal invariant tests
- 7.5 Numerical Results
- 7.6 Conclusion
- 8 Summary
- List of publications
- Bibliography