Full Description
The textbook covers the most popular transforms used in electrical engineering along with the mathematical foundations of the transforms, uniquely bringing together the two in a single text. Geared towards an upper-undergraduate or graduate-level class, the book covers the most-used transforms including Fourier, Laplace, Discrete Fourier, z-, short-time Fourier, and discrete cosine transforms. The book includes the complex numbers, complex functions, and complex integration that are fundamental to understand the transforms. The author strives to make the study of the subject approachable by appealing to the use of popular software like LabVIEW virtual instruments, Matlab m-files, and C programming resources. Computer projects at the end of chapters further enhance the learning process. The book is based on the author's years of teachıng Engineering Mathematics and Signal courses and can be used in both electrical engineering and mathematics curriculum.
Presents both electrical engineering transforms and their mathematical foundations in an understandable, pedagogical, and applicable approach;
Covers the most common transforms for electronics and communications engineers including Laplace transform, the Fourier transform, STFT, the z-transform;
Features LabVIEW virtual instrument (vi) files, LTSpice simulation files, MATLAB m files, and computer projects in the chapter problems.
Contents
Introduction.- I BACKGROUND.- Complex Numbers.- Functions of a Complex Variable.- Complex Integration.- II TRANSFORMS.- The Laplace Transform.- The Fourier Series.- The Fourier Transform.- Short-Time-Fourier Transform.- Fast Fourier Transform.- z Transform.- Discrete Cosine Transform.- Conclusion.
