A digital filter according to the disclosure includes a processing circuit having a memory and a number of parallel processing circuits. The parallel processing circuits perform a convolution operations based on input data and function data that is accessed from the memory. The filter further includes a serializer for serializing data that is received from the processing circuits. A clock generator circuit provides a first clock signal to the processing circuit and a second clock signal to the serializer. The frequency of the second clock signal is greater than that of the first clock signal.