  A method for mathematical treatment is considered for experimental data from
pulsed time-of-flight spectrometers, whose response to measurement-initiating
pulses is represented by their convolution with the pulse response of the
system. The proposed method of step-by-step shifting and its modifications are
intended to correct the system response when the initiating pulse is distorted
and also to reconstruct the response from a shorter pulse. Within certain
physical constraints, this method is an alternative for technical methods
associated with difficult scientific and technical problems that require
considerable material costs. The inaccuracies of the reconstruction are
estimated. An example of the reconstruction of experimental data from the
neutron time-of-flight spectrometer at the INR is considered. The method is
applicable to reconstruction of output data from any systems that are linear
with respect to the input signals and are invariant to time shifts.
