Transient Response

Abstract
Numerous accurately calculated transient-response curves are presented, allowing comparison as well as design of single and cascaded stages of electrical and ideal networks. Transient response, taken as the criterion for the quality of television amplifiers, is valued according to (1) transition time T, from 0.1 to 0.9 of the final height, measured in radians of the nominal cutoff frequency; (2) amount (and duration and frequency) of the overshoot (or recoil) in per cent of height. To allow correlation with the amplitude and phase response, these are also plotted for many cases. Section I deals with the transient response of single filters, proceeding from the shunt-peaking coil and the series-peaking coil (as representative for the staggered circuits and for band passes in carrier amplification) to filters without and with m-derived section. Their relative efficiency H=CR/T, and their overshoot are given for numerous values of Q=1/R L/C, thus supplying design data for many cases. It is shown which, if any, improvements are possible with complicated filters and that flat time response and steadily dropping amplitude response correspond to the most desirable transient response. The use of low-pass filters as carrier amplifiers is discussed. Section II describes the deterioration of transients in cascades of equal or different, electrical or ideal, filter systems. It is shown that transients tend to take on certain ultimate shapes after passage through many stages of phase-true filters.