A nuclear pulse amplifier using a time-variant filter with a trapezoidal weighting function was theoretically analyzed for optimum performance in a high count rate environment. Analytical tools were developed for the complete characterization of the noise performance of the amplifier. The amplifier was implemented and experimentally evaluated at high count rates. The Na22 line had a peak shift and line broadening no more than 1 part per 1000 when the count rate was varied from a low rate of 5000 cps to a very high rate at 150,000 cps.
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