2021/05/06 by Raphael Keusch, Hans-Andrea Loeliger, Hans‐Andrea Loeliger +2
Computer Science · Engineering · #Analog and Mixed-Signal Circuit Design #Control Systems and Identification #FOS: Electrical engineering #Signal Processing (eess.SP) #Sparse and Compressive Sensing Techniques #VLSI and Analog Circuit Testing #eess.SP #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2105.02599
arXiv admin note: text overlap with arXiv:2102.00989
arxiv created 2021/05/06 · openalex publication_date 2021/05/06 · arxiv updated 2021/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Priors with a NUV representation (normal with unknown variance) have mostly been used for sparsity. In this paper, a novel NUV prior is proposed that effectively binarizes. While such a prior may have many uses, in this paper, we explore its use for discrete-level control (with M ≥ 2 levels) including, in particular, a practical scheme for digital-to-analog conversion. The resulting computations, for each planning period, amount to iterating forward-backward Gaussian message passing recursions (similar to Kalman smoothing), with a complexity (per iteration) that is linear in the planning horizon. In consequence, the proposed method is not limited to a short planning horizon and can therefore outperform "optimal" methods. A preference for sparse level switches can easily be incorporated.