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Select Topics in Signal Analysis
Introduction
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.
Chapter 1: Matrix Theory
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.
Chapter 2: Probability Theory
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.
Chapter 3: Antenna Theory
The third chapter is on Antenna Theory with a focus on Modern Quantum Antenna Theory.
Conclusion
The book will be a valuable resource to students and early career researchers in the field of Mathematical Physics.
