A receiver uses a sigma delta ADC (126) and an adaptable digital filter (132). Detector circuitry detects information about unwanted parts of the signal from an oversampled digital signal, before the filtering, and feeds forward the detected information to the filter, to adapt the filter. By feeding forward the detection information, rather than feeding back an output of the filter, the adaptation can respond much more quickly to rapid changes in the unwanted interference. This enables reduced filtering to save power when interference is low, without risking a sudden increase in interference causing an avalanche of errors before the filter can be adapted correctly. The filter receives the oversampled digital signal combines decimation and channel filtering in one stage.