Gabor atom

In 1946,[1] Dennis Gabor suggested the idea of using a granular system to produce sound.

Another problem was the underlying supposition, as we use sine waves analysis, that the signal under concern has infinite duration even though sounds in real life have limited duration – see time–frequency analysis.

He proposed a mathematical method to reduce Fourier analysis into cells.

Gabor saw in his atoms a possibility to transmit the same information but using less data.

, a Gabor system may be a basis for L2(R), which is defined by translations and modulations.