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How the Fourier Transform Works

How the Fourier Transform Works

Paperback

Series: Fourier Transform, Book 2

General Mathematics

ISBN13: 9798373924030
Publisher: Independently Published
Published: Jan 18 2023
Pages: 114
Weight: 0.62
Height: 0.24 Width: 8.50 Depth: 11.00
Language: English
Fourier's discovery that it is possible to build complex signals out of basic sine waves revolutionized the way we look at data. It was years ahead of its time. In today's digital age, understanding the data we collect is vital. Fourier's idea is now in use more than ever before.

In my last book: How the Fourier Series Works we studied Fourier's original theory, published in 1822. However, the Fourier Series can only model repeating signals. It took the further work of the German mathematician, Peter Gustav Lejeune Dirichlet, to expand the capabilities of the Fourier Series so that it could model non-repeating signals.

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General Mathematics