In this paper, we present a novel approach to shape the quantization noise during word-length reduction. In comparison to the traditional feedback noise shaping, our approach is feedforward and thus inherently stable. It can achieve one or multiple frequency notches in the quantization noise spectrum with controlled notch width and notch depth while keeping the out-of-band noise level lower than the feedback noise shaping. Results from a digital communication example demonstrate the performance of this new noise shaping method.