The Fast Fourier Transform (FFT) remains a cornerstone of digital signal processing, underpinning applications from telecommunications to medical imaging. Modern FFT processors and architectures have ...
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The discovery that lets machines see what humans cannot
The Fast Fourier Transform allows computers to take complex signals and break them into their underlying frequencies. This single idea makes it possible to analyze sound, images, radio waves, and even ...
An interesting aspect of time-varying waveforms is that by using a trick called a Fourier Transform (FT), they can be represented as the sum of their underlying frequencies. This mathematical insight ...
A talk, The Unreasonable Effectiveness of the Fourier Transform, was presented by [Joshua Wise] at Teardown 2025 in June last year. Click-through for the notes or check out the video below the break ...
Sparse Fourier Transform (SFT) algorithms constitute a transformative approach to spectral analysis by leveraging the inherent sparsity of signals in the frequency domain. In contrast to the ...
In this paper we describe a method for computing the Discrete Fourier Transform (DFT) of a sequence of $n$ elements over a finite field $\mathrm{GF}(p^m)$ with a ...
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