A Hardware Transverse Beam Frequency Response Simulator

We built an electronic instrument that can mimic the transverse beam frequency response. The instrument consists of 1) a time delay circuit with an analog-to-digital converter (ADC) which contains a first-in-first-out random assess memory (FIFO RAM) and a digital-to-analog converter (DAC); 2) a variable phase shifter circuit which is based on an all pass filter with a bandwidth of 25kHz to 30kHz and 3) a commutating filter which is a nonlinear band pass filter. With this instrument, we can dynamically adjust the betatron tune, the synchrotron tune, and the chromaticity. Using this instrument, we are able to test other beam systems without using actual beam.