Advanced Topics in Shannon Sampling and Interpolation Theory

Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-tim...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Marks, Robert J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US, 1993.
Colección:Springer texts in electrical engineering.
Temas:
Engineering.
Chemistry > Mathematics.
Computer science.
Computer engineering.
Electronic data processing.
Computer organization.
Ingénierie.
Informatique.
Ordinateurs > Conception et construction.
engineering.
data processing.
computer science.
Electronic data processing
Computer organization
Chemistry > Mathematics
Computer engineering
Computer science
Engineering
Signals > Processing
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1 Gabor's Signal Expansion and Its Relation to Sampling of the Sliding-Window Spectrum
  • 1.1 Introduction
  • 1.2 Sliding-Window Spectrum
  • 1.3 Sampling Theorem for the Sliding-Window Spectrum
  • 1.4 Examples of Window Functions
  • 1.5 Gabor's Signal Expansion
  • 1.6 Examples of Elementary Signals
  • 1.7 Degrees of Freedom of a Signal
  • 1.8 Optical Generation of Gabor's Expansion Coefficients for Rastered Signals
  • 1.9 Conclusion
  • 2 Sampling in Optics
  • 2.1 Introduction
  • 2.2 Historical Background
  • 2.3 The von Laue Analysis
  • 2.4 Degrees of Freedom of an Image
  • 2.5 Superresolving Pupils
  • 2.6 Fresnel SampHng
  • 2.7 Exponential SampHng
  • 2.8 Partially Coherent Fields
  • 2.9 Optical Processing
  • 2.10 Conclusion
  • 3 A Multidimensional Extension of Papoulis' Generalized Sampling Expansion with the Application in Minimum Density Sampling
  • I: A Multidimensional Extension of Papoulis' Generalized Sampling Expansion
  • 3.1 Introduction
  • 3.2 GSE Formulation
  • 3.3 M-D Extension
  • 3.4 Extension Generalization
  • 3.5 Conclusion
  • II: Sampling Multidimensional Band-Limited Functions At Minimum Densities
  • 3.6 Sample Interdependency
  • 3.7 Sampling Density Reduction Using M-D GSE
  • 3.8 Computational Complexity of the Two Formulations
  • 3.9 Sampling at the Minimum Density
  • 3.10 Discussion
  • 3.11 Conclusion
  • 4 Nonuniform Sampling
  • 4.1 Preliminary Discussions
  • 4.2 General Nonuniform Sampling Theorems
  • 4.3 Spectral Analysis of Nonuniform Samples and Signal Recovery
  • 4.4 Discussion on Reconstruction Methods
  • 5 Linear Prediction by Samples from the Past
  • 5.1 Preliminaries
  • 5.2 Prediction of Deterministic Signals
  • 5.3 Prediction of Random Signals
  • 6 Polar, Spiral, and Generalized Sampling and Interpolation
  • 6.1 Introduction
  • 6.2 Sampling in Polar Coordinates
  • 6.3 Spiral Sampling
  • 6.4 Reconstruction from Non-Uniform Samples by Convex Projections
  • 6.5 Experimental Results
  • 6.6 Conclusions
  • Appendix A
  • Appendix B
  • 7 Error Analysis in Application of Generalizations of the Sampling Theorem
  • Foreword: Welcomed General Sources for the Sampling Theorems
  • 7.1 Introduction
  • Sampling Theorems
  • 7.2 Error Bounds of the Present Extension of the Sampling Theorem
  • 7.3 Applications
  • Appendix A
  • A.1 Analysis of Gibbs' Phenomena.

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