Signal splitting effect analysis for Muon tracker signal in frequency domain

This paper analyzes the effects of signal splitting in muon tracker front end electronics. Signal splitting is an effective strategy to upgrade muon tracker front end electronics and generate real-time signals for general trigger systems. However, signal splitting will affect the amplitude and bandwidth of split signals and if the splitting is not controlled properly, the output of muon tracker can be degraded to a degree which can not provide enough spatial accuracy or real-time trigger information. To properly control the effect of signal splitting, a qualitative analysis of signal splitting in muon tracker front end electronics is needed. In this paper, the transfer functions of both current and new front end electronics will be derived and the circuit parameters that affect the output signal characteristics will be analyzed in frequency domain. The circuit parameters include cathode strip capacitance, coupling capacitance, and feedback capacitance of the preamplifiers. Using the analysis result of this paper, the amplitude and frequency response of the split signal can be predicted and controlled effectively to achieve desired splitting ratio and frequency characteristics for muon tracker spatial accuracy and real-time trigger information.