2n Position resolution

FFT algorithm test

If we take narrower response function we will get

FFT application

Experimental distribution of TDC difference time spectrum (dots) and gaussian fit of the data (line) are shown below:

The fit of the experimental data with a function which is the result of convolution of the detector resolution function and detector response function is shown below

As can be seen the gaussian fit parameter "w" is equal to the parameter "Sigma3" of my_fcn fit of the experimental data. Hence fitting the experimental data with my_fcn one can get the position resolution of the detector.

Hence, any coordinate of the neutron hit has the following uncertainty in: sigma = 2.139 ns and its value converted into cm is 2.129 ns x 7.24 cm/ns = 15.4 cm. The total length of the active area of the neutron detector is 75 cm.