Matched Z-transform method
Encyclopedia
The matched Z-transform method, also called the pole–zero mapping or pole–zero matching method, is a technique for converting a continuous-time filter design to a discrete-time filter (digital filter
) design.
The method works by mapping all poles and zeros of the s-plane design to z-plane
locations z = exp(sT), for a sample interval T.
Alternative methods include the bilinear transform
and impulse invariance
methods.
Digital filter
In electronics, computer science and mathematics, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. This is in contrast to the other major type of electronic filter, the analog filter, which is...
) design.
The method works by mapping all poles and zeros of the s-plane design to z-plane
Z-transform
In mathematics and signal processing, the Z-transform converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation....
locations z = exp(sT), for a sample interval T.
Alternative methods include the bilinear transform
Bilinear transform
The bilinear transform is used in digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa....
and impulse invariance
Impulse invariance
Impulse invariance is a technique for designing discrete-time infinite-impulse-response filters from continuous-time filters in which the impulse response of the continuous-time system is sampled to produce the impulse response of the discrete-time system...
methods.