Some embodiments discussed relate to an apparatus and method for processing signals, comprising receiving an input signal and forming a stream of digital samples of the input signal by sampling at a sampling frequency and mixing the stream of digital samples using a mixer sequence having a sine sequence and a cosine sequence based on the sampling frequency to generate an input sequence, each of the sine sequence and the cosine sequence including a plurality of components in an arrangement such that at least one of the components has a zero value and the remaining components has a non-zero value, and filtering the input sequence using a plurality of polyphase filter parts, each corresponding to the non-zero components of the sine sequence and the cosine sequence, and selectively combining the outputs of the polyphase filter parts to generate an in-phase sequence and a quadrature sequence.