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A design flow for &#x0394;&#x03A3; modulators is illustrated, allowing quantization noise to be shaped according to an arbitrary weighting profile. Based on finite-impulse-response noise transfer functions, possibly with high order, the flow is best suited for digital architectures. This work builds on a recent proposal in which the modulator is matched to the reconstruction filter, showing that this type of optimization can benefit a wide range of applications in which noise (including in-band noise) is known to have a different impact at different frequencies. The designs of a multiband modulator, a modulator avoiding dc noise, and an audio modulator capable of distributing quantization artifacts according to a psychoacoustic model are discussed as examples. A software toolbox is provided as a general design aid and to replicate the proposed results.

ieee transactions on circuits and systems ii: express briefs

Noise Weighting in the Design of <formula formulatype="inline"><tex Notation="TeX">$\Delta\Sigma$</tex> </formula> Modulators (With a Psychoacoustic Coder as an Example)

Noise Weighting in the Design of $\Delta\Sigma$ Modulators (With a Psychoacoustic Coder as an Example)