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A method of analyzing the response of automatic frequency-control systems, operating in conjunction with a narrow band-pass filter, is presented in this paper. A time-lag, equivalent to the reciprocal of the bandwidth, is assigned to the filter. Circuit parameters are established for operation near the critically damped response condition. The equations of the system are derived with the aid of the Laplace transform. The method of residues is used to evaluate the transient response to a step-input frequency disturbance.