Trapezoidal filtering of signals realized by the directly synthesized Gaussian filter

A novel time-varying trapezoidal pulse suitable for a high-resolution high-counting-rate spectroscopy system is described. The input signal of the gated integrator has a nearly rectangular waveform approximated by using the directly synthesized Gaussian filter. The product of the delta noise index and the deadtime of this pulse-shaper is less than the best value proposed up to now, which is the theoretical value of that of the triangular waveform. >