Fundamentals of Fourier Analysis

This textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval. Including numerous examples, figures, and exercises, this book is suited for students, lecturers, and researchers working in audio engineering, computer science, multimedia, and musicology.

This textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval. Including numerous examples, figures, and exercises, this book is suited for students, lecturers, and researchers working in audio engineering, computer science, multimedia, and musicology.

In this text, Robert Tyson presents the fundamentals of Fourier optics with sufficient detail to educate the reader, typically an advanced student or working scientist or engineer, to the level of applying the knowledge to a specific set of design or analysis problems. Instead of presenting complex multipage proofs of the underlying theory, the key results are presented with an explanation of the physical meaning and accompanied by appropriate literature references. The last half of the book explores some of the many and varied modern applications, including in imaging, interferometry, tomography, optical testing methods, pattern recognition, holography, data processing, encoding and encryption.