An Implementation of a Channelizer based on a Goertzel Filter Bank for the Read-Out of Cryogenic Sensors

TL;DR

This paper presents a resource-efficient FPGA implementation of a Goertzel filter bank for channelizing multi-tonal signals in cryogenic sensor read-out systems, enabling scalable detection for large sensor arrays.

Contribution

It introduces a novel FPGA-based implementation of a Goertzel filter bank for efficient multi-channel signal processing in cryogenic sensor applications.

Findings

Effective channelization of multi-tonal signals demonstrated

Resource-efficient FPGA implementation achieved scalability

Applicable to large sensor arrays in astrophysics and quantum computing

Abstract

In this work we present an application of the Goertzel Filter for the channelization of multi-tonal signals, typically used for the read-out of cryogenic sensors which are multiplexed in the frequency domain (FDM), by means of Microwave Superconducting Quantum Interference Device (SQUID) Multiplexer ($\mu$MUX). We demonstrate how implementing a bank of many of these filters, can be used to perform a channelization of the multi-tonal input signal to retrieve the data added by the sensors. We show how this approach can be implemented in a resource-efficient manner in a Field Programmable Gate Array (FPGA) within the state-of-the-art, which allows great scalability for reading thousands of sensors; as is required by Radio Telescopes in Cosmic Microwave Background Radiation (CMB) surveys using cryogenic bolometers, particles detection like Neutrino mass estimation using cryogenic calorimeters or Quantum Computing.