Betatron Resonance Studies at the PS Booster by Harmonic Analysis of Turn-by-turn Beam Position Data

A new multi-turn acquisition system with the purpose to determine resonance driving terms from turn-by-turn beam position data was installed in the PS Booster. In this note the measurement system as well as the specific measurement conditions at the PS Booster are discussed. The theory on how to obtain resonance driving terms from multi-turn beam position data is briefly reviewed. As an example, the measurement and compensation of the particularly dangerous systematic $3Q_y=16$ resonance is described in detail. Results obtained during the run 2003 including compensation settings for various resonances are presented.