Synthesis of a reactance network having the step response close to a rectangular shape pulse

Abstract

Describes synthesis of a network to have the step response close to a rectangular shape pulse. The derivative of this step response is described by positive and delayed negative semi-periods of sine-squared function. The real and imaginary parts of the Laplace transform of this derivative are expanded in infinite products. Then, using a finite amount of terms in these products one can obtain the transfer function realizable as a reactance network loaded by a resistor.