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 – Discrete Fourier Transform (DFT)

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https://www.electronics-lab.com/article/the-fourier-analysis-discrete-fourier-transform-dft/

Introduction Essentially, signals are functions that can be classified into different categories. A signal can be either continuous or discrete, and it can be either periodic or non-periodic. In our ‘Analog to digital conversion’ series of articles, we have seen that it is always possible to apply a sample-and-hold circuit to an analog (continuous) signal […]