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All digital signal processing (DSP) circuits use analog front-end anti-aliasing filters to process sensor inputs. These analog filters have a number of disadvantages with respect to cost, power, stability, and ease of integration in VLSI. This paper proposes the use of all-digital oversampling front-end sensors (based on adaptive filters), resulting in a performance/cost-effective DSP application. Simulations for modem and speech applications illustrate the design tradeoffs.