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Signals, Systems, Transforms, and Digital Signal Processing with MATLAB



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Author: Michael Corinthios

Publisher: CRC Press

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Publish Date: June 17, 2009

ISBN-10: 1420090488

Pages: 1256

File Type: PDF

Language: English

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Book Preface

Simplification without comprise of rigor is the principal objective in this presentation of the subject of signal analysis, systems, transforms and digital signal processing. Graphics, the language of scientists and engineers, physical interpretation of subtle mathematical concepts and a gradual transition from basic to more advanced topics, are meant to be among the important contributions of this book.

Laplace transform, Fourier transform, Discrete-time signals and systems, z-transform and distributions, such as the Dirac-delta impulse, have become important topics of basic science and engineering mathematics courses. In recent years, an increasing number of students, from all specialties of science and engineering, have been attending courses on signals, systems and DSP. This book is addressed to undergraduate and graduate students, as well as scientists and engineers in practically all fields of science and engineering.

The book starts with an introduction to continuous-time and discrete-time signals and systems. It then presents Fourier series expansion and the decomposition of signals as a discrete spectrum. The decomposition process is illustrated by evaluating the signal’s harmonic components and then effecting a step-by-step addition of the harmonics. The resulting sum is seen to converge incrementally toward the analyzed function. Such an early introduction to the concept of frequency decomposition is meant to provide a tangible notion of the basis of Fourier analysis. In later chapters, the student realizes the value of the knowledge acquired in studying Fourier series, a subject that is in a way more subtle than Fourier transform.

The Laplace transform is normally covered in basic mathematics university courses. In this book the bilateral Laplace transform is presented, followed by the unilateral transform and its properties.

The Fourier transform is subsequently presented, shown to be in fact a special case of the Laplace transform. Impulsive spectra are given particular attention. It is then applied to sampling techniques; ideal, natural and instantaneous, among others. In Chapter 5 we study the dynamics of physical systems, mathematical modeling, and time and frequency response.

Discrete time signals and systems, z-transform, continuous and discrete time filters, elliptic, Bessel and lattice filters, active and passive filters, and continuous time and discrete-time state space models are subsequently presented.


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