Simulations of real-time system identification for superconducting cavities with a recursive least-squares algorithm

Abstract

We explore the performance of a recursive least-squares algorithm to determine the bandwidth ω_{12} and the detuning Δω of a superconducting cavity. We base the simulations on the parameters of the European Spallation Source double-spoke cavities. Expressions for the signal-to-noise ratio of derived parameters are given to explore the applicability of the algorithm to other configurations.