Using stored discrete samples of filter coefficients at each of a plurality of discrete operating points, a filter control (e.g., CPU) provides dynamic control of a digital filter through an interpolator in accordance with a variable input indicative of a desired operating point (e.g., cutoff frequency) of the digital filter. In response to a large change in the desired operating point, the control produces a succession of operating point subgoals progressively approaching the changed desired operating point and a corresponding succession of filter coefficient subgoals. Each filter coefficient subgoal is calculated as a function of stored discrete filter coefficient samples near each operating point subgoal. In response to a new parameter set from the filter control, containing a new subgoal of the coefficients, the interpolator starts coefficient interpolating to smoothly move the operating point of the digital filter toward the new subgoal. By starting the interpolating operations after the updating of the parameter set has been completed, synchronization may be established among the interpolating operations on the coefficients.