How the Fourier Series Works

Fourier's discovery that almost any signal could be built out of basic sine waves, was years ahead of its time. The Fourier Series, and its later developments: the Fourier Transform and the Fast Fourier Transform, lie at the heart of so many of our electronic devices today. From the mobile phone sitting in your pocket, to early warning systems that keep aircraft engines running safely, Fourier is there, telling you which sine waves are present in your signal.

The standard...
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Fourier's discovery that almost any signal could be built out of basic sine waves, was years ahead of its time. The Fourier Series, and its later developments: the Fourier Transform and the Fast Fourier Transform, lie at the heart of so many of our electronic devices today. From the mobile phone sitting in your pocket, to early warning systems that keep aircraft engines running safely, Fourier is there, telling you which sine waves are present in your signal.

The standard approach to teaching complicated mathematical concepts in schools and universities relies more on mathematical analysis and the student's capability to manipulate equations, than on his or her intuition. A good diagram and a clear analogy are often worth a thousand words.

This book will guide you systematically, visually, and intuitively through each of the core concepts making up the Fourier Series; granting you the knowledge you need to confidently use one of the cornerstones of signal analysis.