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.

If you do any electronics work–especially digital signal processing–you probably know that any signal can be decomposed into a bunch of sine waves. Conversely, you can generate any signal by adding up ...

In 1891, at the Académie des Sciences in Paris, Gabriel Lippmann 1 presented a beautiful colour photograph of the Sun's spectrum, obtained with his new photographic plate. Later, in 1894 (ref. 2), he ...

The construction of a PERIODIC signal on the basis of Fourier coefficients which give the AMPLITUDE and PHASE angle of each component sine wave HARMONIC. These coefficients are obtained through ...

The representation of a PERIODIC sound or WAVEFORM as a sum of Fourier components (i.e. pure SINUSOIDAL WAVEs). According to the FOURIER THEOREM, periodic sound may be shown to consist of SINE 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 ...

In less than 100 seconds, Carola-Bibiane Schönlieb of the University of Cambridge in the UK provides a basic definition of a Fourier transform. She explains how this mathematical tool was introduced ...