Interpolation measurement of the arrival time and/or amplitude of a digitized electronic pulse

Abstract

A digital processing technique for measuring the time of arrival of a digitized electronic signal pulse for in-line implementation in a field programmable gate array or digital signal processor. For each detected pulse, an interpolation method is used to estimate its maximum M, M is multiplied by a fraction f, and a second interpolation method is used to estimate the time when the pulse reaches the value f·M, which is then taken as the pulse's time of arrival. Various interpolation methods may be used. A particularly accurate method employs convolution of the pulse data by a kernel that is the product of the sinc function and a Gaussian. Detector physics limited time resolutions of 2-5% of the sampling interval are demonstrated. Estimating M is useful in its own right for determining pulse amplitudes, for example as a measure of the energies of photons absorbed in a detector.