Multi-pole multi-zero frequency-independent phase-shifter

TL;DR

This paper introduces a modular multi-pole, multi-zero phase-shifter that maintains a flat phase response over three decades of frequency, enabling precise phase control in dynamic systems.

Contribution

The design achieves a true frequency-independent phase-shifter with flat response over a wide band, adaptable to higher frequencies and broader ranges through modularity.

Findings

Realized flat phase response over 3 decades (30Hz-100kHz)

Achieved gain flatness within a few percent

Modular design allows extension to higher frequencies

Abstract

A multi-pole, multi-zero design allowed realizing a "true" phase-shifter (not time-delayer) of flat frequency-response over more than 3 decades (30Hz-100kHz), which can be extended to higher frequencies or broader bands thanks to a modular design. Frequency-dependent optimization of a single resistance made also the gain flat to within few percents. The frequency-independent phase-shifter presented can find application in any experiment in which an action needs to be taken (e.g. a measurement needs to be performed) at a fixed phase-delay relative to an event, regardless of how rapidly the system rotates or oscillates.