Select Topics in Signal Analysis

Description

This book developed from a course given by the author to undergraduate and postgraduate students. It takes up Matrix Theory, Antenna Theory, and Probability Theory in detail. The first chapter on matrix theory discusses in reasonable depth the theory of Lie Algebras leading upto Cartan’s Classification Theory. It also discusses some basic elements of Functional Analysis and Operator Theory in infinite dimensional Banach and Hilbert spaces. The second chapter discusses Basic Probability Theory and the topics discussed find applications to Stochastic Filtering Theory for differential equations driven by white Gaussian noise. The third chapter is on Antenna Theory with a focus on Modern Quantum Antenna Theory. The book will be a valuable resource to students and early career researchers in the field of Mathametical Physics. Cover Half Title Title Page Copyright Page Preface Table of Contents 1. Matrix Theory 2. Antenna Theory 3. Probability Theory 4. Models for the Refractive Index of Materials and Liquids 5. Statistics of Refractive Index and Fundamental Laws of Nature 6. Miscellaneous Remarks on the Content of The Previous Chapters 7. Applications of Large Deviation Theory to Engineering Problems 8. Large Deviations for Filtering in a Mixture of Boson-Fermion noise 9. Large Deviations for Classical and Quantum Stochastic Filtering Problems in General Relativity 10. Quantum Mechanics of The Eye