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:

Sig resp2.png

Raw data of FFT deconvolution of signal function and response function is presented below:

FFT sig resp deconv.png

It can be seen the high frequency noise component in the raw data. Applying low pass filtering we could get the deconvoluted data:

FFT sig resp deconv filter.png

Hence, any coordinate of the neutron hit has the following uncertainty in: sigma = 2.8 ns and its value converted into cm is 2.8 ns x 7.41 cm/ns = 20.7 cm. The total length of the active area of the neutron detector is 75 cm.

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