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Increasing device parameter variations in nanometer CMOS technologies cause large spread in circuit parameters such as delay and power, leading to parametric yield loss. For digital signal processing (DSP) hardware, variations in circuit parameters can significantly affect the quality of service (QoS). Existing post-silicon calibration and repair approaches rely on adaptation of circuit operating parameters such as voltage, frequency, or body bias and typically incur large delay or power overhead. This paper presents a novel low-overhead approach of healing DSP chips by commensurately truncating the operand width based on their process shifts. The proposed approach exploits the fact that critical timing paths in typical DSP datapaths originate from the least significant bits. Hence, truncation of these bits, by setting them at constant values, can effectively reduce the delay of a unit, thereby avoiding delay failures. The proposed technique is applied to two common DSP blocks, namely discrete cosine transform (DCT) and finite impulse response (FIR) filter. Simulation results show significant reduction in critical path delay along with a graceful degradation in the QoS. They also show large improvement in manufacturing yield (41.6%) with up to 5X savings in power compared to existing approaches such as voltage scaling and body biasing.