An arrangement (100) and method for sigma-delta analog-to-digital conversion by providing parallel translating sigma-delta analog-to-digital converters (21, 22) and summing their outputs to produce a digital output signal having a bandwidth greater than that of the first or second translating sigma-delta analog-to-digital converters (21, 22). The parallel translating sigma-delta analog-to-digital converters (21, 22) use switching sequences arranged to cancel third and fifth harmonics in the digital output signal. Orthogonality error in the switching sequences applied to the sigma-delta modulators is compensated by adjusting the phase of the signals applied to mixers (51, 52).