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

We explore the performance of a recursive least-squares algorithm to determine the bandwidth ${\omega }_{12}$ and the detuning $\mathrm{\Delta }\omega$ of a superconducting cavity. We base the simulations on parameters of the ESS 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.