Abstract
Shaping is considered with respect to minimizing the random errors with respect to detector pulse measurements. Some properties of time variant and invariant linear networks are considered. It is shown that the weighting function characterizes both time variant and invariant networks with respect to the determination of the errors. The errors are classified according to their origin and character. Errors due to noise, pile up and base line shift are considered. Equations for their variances and average values are derived using the weighting function and the statistical properties of random impulses. The weighting function characteristics, such as shape and time scale, are considered with respect to the resulting errors The characteristic of the weighting function, required to minimize or decrease particular errors are discussed. Particular attention has been given to base line error reduction.