Generating synthetic spectra containing known elemental frequencies Performing Fast Fourier Transform (FFT) to analyze frequency content Identifying peaks in the frequency spectrum Matching detected ...

When you listen to digital music, the harmonies and chords that you hear have probably been reconstructed from a file that stored them as components of different frequencies, broken down by a process ...

This paper introduces new techniques for the efficient computation of a Fourier transform on a finite group. We present a divide and conquer approach to the computation. The divide aspect uses ...

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 ...

A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...

Scientists have developed a computation which simultaneously doubles the resolution, sensitivity and mass accuracy of Fourier Transform Mass Spectrometry (FTMS) at no extra cost. Scientists at the ...

Every non-zero complex homomorphism of the almost periodic functions on an abelian group is induced by the Fourier transform. A Plancherel formula for almost periodic functions and a necessary ...