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 (dots) and gaussian fit of the data (line) are shown below:

Experimental data DetG gauss.png

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

Experimental data DetG fftFit.png

Deconv 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.

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