Voxtel Blog

Voxtel Paper Published: Instantaneous Receiver Operating Characteristic (ROC) Performance of Multi-gain-stage APD Photoreceivers

October 22, 2013

Voxtel’s CEO George Williams and Group Lead of Detector Products Andrew Huntington recently published the paper Instantaneous Receiver Operating Characteristic (ROC) Performance of Multi-gain-stage APD Photoreceivers, which they co-authored with  M.M. Hayat and D.A. Ramirez of the Center for High Technology Materials at the University of New Mexico.

The paper, which is published in the IEEE Journal of the Electronic Devices Society,  is available for download here and through the IEEE Xplore Digital Library here.

The complete abstract follows:

We describe the use of analytical and numerical models of a multi-gain-stage single-carrier multiplication (SCM) avalanche photodiode (APD) to generate time-resolved receiver operating-characteristic (ROC) curves. First, pseudo-DC analytic models of discrete multi-stage APDs are used to generate the statistical properties of the SCM APD necessary for ROC analysis. Next, numerical models are used to develop the joint probability density function (PDF) of the SCM APD gain and avalanche buildup time as a function of the device structure, material properties and local electric fields. The instantaneous (time-resolved) carrier count distributions resulting from photon- and dark-initiated impact ionization chains are used to calculate the mean and variance of the currents induced in the circuits of the photoreceiver over the integration times of the detection event. Last, autocorrelation functions are generated to allow the parameters of the signal, the noise and the signal embedded in noise—which are necessary for ROC hypothesis testing—to be calculated for the instances of the impulse response. It is shown that time-resolved ROC analysis of an APD photoreceiver, which includes the instantaneous properties of photon- and dark-initiated avalanche events, allows for better optimization of photoreceiver performance than does non-time-resolved ROC analysis.