Processing of Detector Signals at Very High Counting Rates for Precision Pulse-Height Analysis

Pulse-shaping in low-noise nuclear amplifiers: A physical approach to noise analysis

“…A very simple approach to the problem of comparing the noise behavior of various pulse-shaping networks used in low-noise nuclear pulse-amplifiers has evolved in the past five years. Notable contributors to this approach include Arosel et al, (1) Radeka et al, (2,3) and Deighton. (4) The method rests on an elementary physical picture of noise; as the analysis is carried out completely in the time domain, intuitive comparisons become possible between various pulse-shapes, and the effects of changing parameters can readily be calculated.…”

“…It is important to realize that the entire effect of a pulseshaper on noise is contained in eqs. (1) and (2). Once R(t) and S (2) are established for various pulse-shapes, evaluation of their relative noise performance is simply a matter of evaluating the indices <N 2> <N~ > by a factor of (time) .…”

“…-17-Proceeding immediately to the noise indices given in eqs. (1) and 2, and normalizing to a signal amplitude S = 1:…”

Time Domain Compensation of Cable Induced Distortions Using Passive Filters for the Transmission of Fast Pulses

“…From now on, the time scale will be shifted by 0 so that the finite propagation time will be discarded. The Laplace transform of the impulse response of the cable is then (1) where cp(p) is the propagation function (Ref. 9, p. 121) per unit length of the lossy cable.…”