Transient response of band-pass filters to modulated signals

The process of obtaining the transient response of band-pass filters to a suddenly applied carrier of frequency equal to or differing from the mid-band frequency of the filter is shown to be simplified by the use of Laurent´s low-pass band-pass transformation together with suitable approximations. The method is illustrated by an analysis of the m-derived band-pass filter. The effect of elements possessing a finite Q-factor is considered and an estimation of the errors due to the approximations used is made.