Abstract: As a Fast algorithm of Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT) can quickly analyze discrete signal spectrum and is widely used in communication, radar, medical imaging ...

ABSTRACT: This paper develops an information-theoretic framework for analysing empirical spectra across cosmology, physiology, and astrophysics by recasting them as normalized probability densities ...

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Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

Abstract: This paper presents the design and implementation of a 16-point Fast Fourier Transform (FFT) using fixed-point arithmetic in SystemVerilog, focusing on its value as a learning tool in ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Key Laboratory of Photovoltaic and Energy Conservation Materials, Institute of Solid State Physics, Hefei Institutes of Physical Science,Chinese Academy of Sciences, Hefei 230031, China ...

Conclusions: This study underscores the potential of GPS-derived mobility data, analyzed through Fourier transform, as a non-invasive and real-time diagnostic and monitoring tool for mood disorders.