Limits for Resolution Convolution

Last Update: 13-Jul-05

Problem

Fitted lifetimes for fits using resolution deconvolution consistently come out lower than input. See v5.0 fits for details.

Source

The source of the problem was that a fixed (and limited: 0 - 0.4 cm) range of Lxy(true) values was used in the convolution. For events with high Lxy(meas) this cuts off the resolution convolution and effectively deweights long t0 events.

Solution

Set the Lxy(true) limits for the convolution for each event based on Lxy(meas) and σ(evt):

Lxy(true) = [ Lxy(meas) - Nσ : Lxy(meas) + Nσ ]
Choose N to be sufficiently large (~10)
Set Lxy(true)-lo = 0 if Lxy(meas)-Nσ < 0