The Fourier Analysis –The Fast Fourier Transform (FFT) Method

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https://www.electronics-lab.com/article/the-fourier-analysis-the-fast-fourier-transform-fft-method/

Introduction The Fourier Transform is a mathematical technique that transforms a time-domain signal into its frequency-domain representation. In other words, it decomposes a signal into its frequency components. The result is called the spectrum of the signal. Historically, the Fourier analysis concept developed slowly, from the Fourier series method 200 years ago up to the Discrete Fourier Transform (DFT) computing method today. Essentially, the Fourier decomposition was […]

The Fourier Analysis – Fourier Transform

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https://www.electronics-lab.com/article/the-fourier-analysis-part-2/

Introduction In the first part of the “Fourier Analysis” article, we have focused on the properties and usages of the Fourier series. We have seen the power of Fourier series as a tool for both decomposing and constructing general periodic functions in terms of “pure” sines and cosines. The physical world, however, is full of […]