Transient Response of Equal-Element Band-Pass Filters

The impulse and step responses of equal-element filters with varying degrees of dissipation have been calculated, and analytic expressions have been derived for the transient responses for any number of resonant circuits. The graphic results are presented for two through eight resonators. Such information, together with all amplitude, frequency, and dissipation variables presented as normalized parameters, can be used in the accurate design of equalelement filters for applications where the time-domain response is important. A digital computer was used to obtain the data. The data is discussed and numerical examples illustrating the use of the curves are presented.