Noun
Z-transform (plural Z-transforms)
(mathematics) A transform that converts a discrete time-domain signal into a complex frequency-domain representation.
If a system in question has an impulse response of : then the Z-transform (see this example ), is given by : which has a pole in (zero imaginary part ). Source: Internet
Similarly, discrete-time LTI filters may be analyzed via the Z-transform of their impulse response. Source: Internet
However, if the impulse response was : then the Z-transform is : which has a pole at and is not BIBO stable since the pole has a modulus strictly greater than one. Source: Internet
Z-transform analysis can be used to get the pitches and decay times of the harmonics more precisely, as explained in the 1983 paper that introduced the algorithm. Source: Internet