Abstract: The discrete Fourier transform is an important computational tool to retrieve the frequency distribution of a sampled signal. Recent years have also witnessed considerable research activity ...

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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 ...

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 ...

As we listen to a piece of music, our ears perform a calculation. The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure ...

Harmonic analysis occupies a central position in modern mathematical analysis by providing the tools to express complex functions as superpositions of simpler sinusoidal components via the Fourier ...

Quantum Fourier analysis is a powerful tool in mathematical physics. Here, we introduce quantum, higher-order Fourier analysis (q-HOFA). We explore some mathematical properties of this theory and show ...

A.J. Drexel Nanomaterials Institute, Drexel University, Philadelphia, Pennsylvania 19104, United States Department of Materials Science and Engineering, Drexel University, Philadelphia, Pennsylvania ...

Welcome to the GPU-FFT-Optimization repository! We present cutting-edge algorithms and implementations for optimizing the Fast Fourier Transform (FFT) on Graphics Processing Units (GPUs).

Abstract: The problems of the evolution of the forward and inverse discrete Fourier transform are investigated. Forward and inverse discrete Fourier transform is the basis of the classical discrete ...

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