A digital compression system including a superresonant filter, which adds samples of a digital data signal at a frequency to previous samples. The added samples are parts of sine or cosine waves, not the sum of the waves. The output signal is actually the summation of the samples. The samples are made during at most a single period. The disclosed superresonant filter has a settling time significantly faster than prior art narrow band filters. Prior art narrow band filters passing approximately 1 Hz require approximately 1 second to settle. The disclosed superresonant filter passing 1 Hz will settle in approximately 1 microsecond.