Binary Control and Digital-to-Analog Conversion Using Composite NUV Priors and Iterative Gaussian Message Passing

Raphael Keusch; Hampus Malmberg; Hans-Andrea Loeliger

ICASSP 2021accepted0 citations

Binary Control and Digital-to-Analog Conversion Using Composite NUV Priors and Iterative Gaussian Message Passing

Raphael Keusch, Hampus Malmberg, Hans-Andrea Loeliger

Abstract

The paper proposes a new method to determine a binary control signal for an analog linear system such that the state, or some output, of the system follows a given target trajectory. The method can also be used for digital-to-analog conversion.The heart of the proposed method is a new binary-enforcing NUV prior (normal with unknown variance). 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.

BibTeX

@inproceedings{icassp2021_binarycontroland,
  title = {Binary Control and Digital-to-Analog Conversion Using Composite NUV Priors and Iterative Gaussian Message Passing},
  author = {Raphael Keusch and Hampus Malmberg and Hans-Andrea Loeliger},
  booktitle = {ICASSP 2021},
  year = {2021}
}