Technique exploits the separation of noise and information when measuring the residual error with a cost functions after transform calculations convert a spectrum into a set of waves.

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 new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

COFDM, the modulation method used by most terrestrial DTV standards, depends on implementation of the Fast Fourier Transform (FFT) for demodulating the thousands of carriers used in OFDM system. An ...

The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing. The algorithm allowed computers to quickly perform Fourier transforms — ...

If you’ve spent any time on the Internet, at some point you’ve heard the phrase “Fourier transform.” It’s it’s a mathematical discovery that’s baked into everything from MP3s to quantum physics. Once ...

In January, four MIT researchers showed off a replacement for one of the most important algorithms in computer science. Dina Katabi, Haitham Hassanieh, Piotr Indyk, and Eric Price have created a ...

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording the diffraction patterns formed by shining a laser beam through it. At the ...