Matched Z-transform method

The matched Z-transform method, also called the pole–zero mapping or pole–zero matching method, and abbreviated MPZ or MZT, is a technique for converting a continuous-time filter design to a discrete-time filter (digital filter) design. The matched Z-transform method, also called the pole–zero mapping or pole–zero matching method, and abbreviated MPZ or MZT, 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 s T {displaystyle z=e^{sT}} , for a sample interval T = 1 / f s {displaystyle T=1/f_{mathrm {s} }} . So an analog filter with transfer function: