2n Position resolution

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FFT algorithm test

Convolution deconvolution stepFcn.png

If we take narrower response function we will get

Convolution deconvolution stepFcn2.png

FFT application

Experimental distribution of TDC difference time spectrum (blue) and ideal response function (red) are shown below:

Experimental data DetG.png

Experimental data DetG fftFit.png

Experimental data fit.png


Hence, any coordinate of the neutron hit has the following uncertainty in: sigma = 1.5 ns and its value converted into cm is 1.5 ns x 7.24 cm/ns = 10.8 cm. The total length of the active area of the neutron detector is 75 cm.