Multi-Step Optimal Analog-to-Digital Conversion

An important aspect of analog-to-digital conversion is the impact of quantization errors. This paper outlines how finite horizon constrained optimization methods can be utilized to design converters which minimize a weighted measure of the quantization distortion. We propose a novel converter, which can be implemented as a feedback loop. It embeds Σ∆-conversion in a more general setting and typically provides better performance. We also examine the role played by the associated design parameters in ensuring error convergence.

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