Fourier Transform
The Fourier transform, named after Joseph Fourier, is a mathematical transform with many applications in physics and engineering. Very commonly it transforms a mathematical function of time, into a new function, sometimes denoted by or whose argument is frequency with units of cycles or radians per second. The new function is then known as the Fourier transform and/or the frequency spectrum of the function The Fourier transform is also a reversible operation. Thus, given the function one can determine the original function, (See Fourier inversion theorem.) and are also respectively known as time domain and frequency domain representations of the same "event". Most often perhaps, is a real-valued function, and is complex valued, where a complex number describes both the amplitude and phase of a corresponding frequency component. In general, is also complex, such as the analytic representation of a real-valued function. The term "Fourier transform" refers to both the transform operation and to the complex-valued function it produces.
Read more about Fourier Transform.
Famous quotes containing the word transform:
“God defend me from that Welsh fairy,
Lest he transform me to a piece of cheese!”
—William Shakespeare (1564–1616)