The magnitude response of matched z-transform (MZT) filters deviates from the response of analog filters in a relatively gradual fashion. The error can be minimized by adding zeros to an all-pole filter or by shifting the position of the poles or zeros in a biquadratic filter. A set of efficient closed form algorithms is presented which provide optimum coefficients. The resulting filters (dubbed �MZTi�) display excellent agreement with the analog target filters, both in their magnitude and phase responses.