Advanced Signal Analysis and Its Applications to Mathematical Physics

Contents 1 Probability theory 2 Signal Analysis 3 Quantum Mechanics 4 Electromagnetic 5 Relativity 6 Fluid dynamics 7 Group Representations 8 Control Theory 9 Dynamical Systems 10 Quantum Stochastic Calculus 11 Statistical Mechanics 12 Antenna Theory Analysis and Synthesis 13 Quantum Field Theory 14 Statistical Signal Processing Problems in Music 15 Miscellaneous Study Project Problems 16 BE Projects 17 Objective type questions 18 Index The mathematical tools used in signal analysis involve differential and difference equations integral equations matrix algebra and calculus complex analysis and probability theory and random processes This book applies these tools to problems in various branches of physics like fluid dynamics electromagnetism and quantum theory The book will be of use to research workers in signal processing as well as to research workers in physics and applied mathematics Partial differential equations have been introduced here as an additional tool in signal analysis since they are used to describe quantum electromagnetic and fluid dynamical phenomena not to forget Einsteins equations of gravitation The book will be of use to signal processing experts who are interested in developing tools for the analysis of signals arising in real systems 712 pp.…