# Matched Z-transform method

The **matched Z-transform method**, also called the **pole–zero mapping**^{[1]}^{[2]} or **pole–zero matching method**,^{[3]} 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=e ^{sT}*, for a sample interval

*T*.

^{[4]}

Alternative methods include the bilinear transform and impulse invariance methods.

## References

- ↑ Won Young Yang (2009).
*Signals and Systems with MATLAB*. Springer. p. 292. ISBN 978-3-540-92953-6. - ↑ Bong Wie (1998).
*Space vehicle dynamics and control*. AIAA. p. 151. ISBN 978-1-56347-261-9. - ↑ Arthur G. O. Mutambara (1999).
*Design and analysis of control systems*. CRC Press. p. 652. ISBN 978-0-8493-1898-6. - ↑ S. V. Narasimhan and S. Veena (2005).
*Signal processing: principles and implementation*. Alpha Science Int'l Ltd. p. 260. ISBN 978-1-84265-199-5.

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