The invention relates to a hardware implemented filtering method including establishing a representation DIS of the derivative of at least a part of a time-quantized input signal IS, and establishing at least one sample of a time- and amplitude-quantized output signal OS by performing filtering on the basis of at least a part of a filter representation IFC1, IFC2, IFC3 and the representation DIS of the derivative of at least a part of the input signal IS. The invention further relates to a hardware implemented decimation method for decimating a time-quantized input signal IS including dividing the time-quantized input signal IS into intervals, for each of the intervals establishing a sample of a time- and amplitude-quantized output signal OS according to the above mentioned filtering method. The invention further relates to a fast filtering means FFM implementing the above-mentioned methods.