A multiplexed FIR/IIR digital filter structure (300) which offers linear phase response and low group delay by switching on a FIR filter portion (31) or a IIR filter portion (32). To reduce the silicon area, the FIR/IIR filter (300) shares registers which is enabled because the FIR and IIR processing do not use the registers at the same time but rather consecutively. Further, the multiplexed FIR/IIR digital filter structure (300) can offer limit-cycle-free IIR operation using two's-complement truncation in combination with positive valued allpass coefficients.