Synthesis of reactance networks shaping a quasi-rectangular pulse

The brief describes synthesis of pulse-forming reactance networks with output response of quasi-rectangular shape. Three cases of input excitation are considered, namely, an impulse, a step, and a sinusoid. The derivative of network output response is approximated using half-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 as further approximation step, one finds the rational function from which one derives realizable transfer functions for each case of input excitation. The obtained transfer functions are realized as reactance networks loaded by resistors.