By analyzing the quantization of audio signals as a deterministic finite-set constrained quadratic optimization problem, a new scheme, called moving-horizon optimal quantizer (MHOQ), is developed. The MHOQ includes a model of the ear's sensitivity to low-level noise power and minimizes directly the perceived error over a finite prediction horizon. Feedback is incorporated by means of the moving-horizon principle. With a prediction horizon equal to 1, the MHOQ reduces to the psychoacoustically optimal noise-shaping quantizer, widely used in practical applications. Larger prediction horizons outperform the noise shaper at the expense of only a small increase in computational complexity.
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