Responses of the multi-photodiode readout

The responses for a signal in various configurations of photodiodes (PDs) and preamplifiers are analyzed by Laplace transformation. The electronic noise in the configuration is derived using the Fourier transformation. The responses and noise are obtained by an analogical extension of the impedance from a single-PD configuration to the multi-PD configuration; however, the noise is not so simple when connected in series. Using the results, we evaluate the energy resolution of the configurations. A series PD connection realizes a better resolution than a parallel connection in the fast shaping.