A digital signal processing circuit, such as a digital-to-analog converter (DAC) having multiple cascaded processing stages, some of which are selectably placed in a low-power non-operating state according to a lower-power operating mode of the digital signal processing circuit and are placed in an operating state according to another higher-performance operating mode of the circuit. The output sample rates of the stages differ, so that the sample rate through the cascade changes. A signal characteristic determination block generates an indication of one or both of an amplitude and/or frequency of the input signal, so that the operating mode of the digital signal processing circuit is selected in conformity with the indication of amplitude and/or frequency of the input signal.