If there's a mathematical idea that applies itself to almost everything in everyday life but is almost unknown outside the scientific world, the Fourier transform has to be the most unsung contender.
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.
A Fast Algorithm for Computing Two Channel Odd Frequency Transforms with Application to Audio Coding
The Odd Discrete Fourier Transform (ODFT) is used in many modern audio codecs which employ the Modified Discrete Cosine Transform (MDCT) for efficient signal representation. The ODFT is used ...
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 ...
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