A noise shaping scheme for multi-bit pulse-code-modulation suppressing the amount of the quantization noise is proposed. In the case with ordinary digital processing or digital-to-analog converters, noise is added over the whole frequency range and the shaped quantization noise of the source signal may only make the total signal-to-noise ratio worse. Therefore the amount of the quantization noise is preferable to be small even if the noise spectrum is shaped. In the proposed method, magnitude of the quantization noise is restricted at each sample and the optimal additional quantization pattern over a receding horizon with respect to the specified perception filter is searched in the look-ahead sigma-delta modulator manner. The amplitude of the quantization noise may be about 0.72 LSB regardless of the perception filter with the proposed method but a higher order perception filter requires a wide horizon of the optimization and a huge amount of the computation. An example is presented.
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