In mathematics and signal processing, the Ztransform converts a discretetime signal, which is a sequence of real or complex numbers, into a complex frequency domain. They are provided to students as a supplement to the. Lecture Notes for Laplace Transform Wen Shen April 2009 NB These notes are used by myself. The Fourier transform is not limited to functions of time, but in order to have a unified language, the domain of the original function is commonly referred to as the time domain. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of time. The Fourier transform is called the frequency domain representation of the original signal. The Fourier transform of a function of time itself is a complex valued function of frequency, whose absolute value represents the amount of that frequency present in the original function, and whose complex argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform FT decomposes a function of time a signal into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies or pitches of its constituent notes.
