The Response of Circuits to Sine-Squared Pulses: Influence of Cutoff

The sine-squared pulse response of a C-R-L circuit is worked out to gain insight into the influence of bandwidth limitation without delay equalization on the response to a sine-squared pulse. Since the results are normalized to the half-amplitude duration of the pulse, they apply to any such pulse. Graphs are presented of pulse-to-bar ratio versus bandwidth and of lobe-to-pulse ratio versus bandwidth. Furthermore, for the purpose of estimating the best K-rating to be expected from minimum-phase low-pass real circuits, the relation between minmum K-factor (resulting from optimum circuit arrangement) and bandwidth is given in tabular and graph form.