Introduction to Fourier Analysis

ISBN-13: 9780471017370 / Angielski / Twarda / 1994 / 592 str.

Norman Morrison

Opis

In communications, a Fourier series is a mathematical series which can be applied to the analysis of periodic waveforms. Fourier analysis is central to electrical engineering, and all electrical engineering students are required to study this topic. This package contains a text introducing the subject, and two computer disks: one for IBM compatibles, and the other for Macintosh use. The disk features a complete FFT system, on which most of the exercises in the book can either be carried out or verified.

Spis treści

CONTINUOUS FOURIER ANALYSIS.

Background.

Fourier Series for Periodic Functions.

The Fourier Integral.

Fourier Transforms of Some Important Functions.

The Method of Successive Differentiation.

Frequency–Domain Analysis.

Time–Domain Analysis.

The Properties.

The Sampling Theorems.

DISCRETE FOURIER ANALYSIS.

The Discrete Fourier Transform.

Inside the Fast Fourier Transform.

The Discrete Fourier Transform as an Estimator.

The Errors in Fast Fourier Transform Estimation.

The Four Kinds of Convolution.

Emulating Dirac Deltas and Differentiation on the Fast Fourier Transform.

THE USER′S MANUAL FOR THE ACCOMPANYING DISKS.

Appendices.

Answers to the Exercises.

Index.

O autorze

NORMAN MORRISON, PhD, is an instructor in the Electrical and Electronics Engineering Department at the University of Cape Town in South Africa.

Blurb

Comprehensive, user friendly, and pedagoicaly structured ... a fast, easy way to learn, about the electrical engineer′s most important mathematical tool Based on a groundbreaking one–semester course originated by Professor Norman Morrison at the University of Cape Town, this book serves equally well as a course text and a self–study guide for professionals. Offering only relevant mathematics, it covers all the core principles of electrical engineering contained in Fourier analysis, including the time and frequency domains; the representation of waveforms in terms of complex exponentials and sinusoids; complex exponentials and sinusoids as the eigenfunctions of linear systems; convolution; impulse response and the frequency transfer function; magnitude and phase spectra; and modulation and demodulation.
∗ Covers Fourier analysis exclusively for electrical engineering students and professionals
∗ Offers a complete FFT system contained on the enclosed disks (one for IBM compatibles, the other for Macintosh)
∗ Includes dozens of examples drawn from electrical engineering
∗ Packed with exercises, samples, and end–of–chapter problem sets