FINITE MEMORY FILTER

摘要

Method for designing an integrating circuit having a finite memory such that an accurate average of events over a time period just ended can be obtained without having events occurring previous to the time period affecting the resultant data, and the circuit obtained. A polynomial expression is formed by taking a continued fraction expansion of the Laplace transformation expression where T is a predetermined period of time. The polynomial is solved using Bessel's coefficient equation and expressed as an approximate transfer function of the desired circuit response. Network synthesis techniques are applied to the approximate transfer function to design the approximately ideal integrator circuit.