English

Time-invariant prefix-free source coding for MIMO LQG control

Information Theory 2022-07-27 v1 Systems and Control Signal Processing Systems and Control math.IT

Abstract

In this work we consider discrete-time multiple-input multiple-output (MIMO) linear-quadratic-Gaussian (LQG) control where the feedback consists of variable length binary codewords. To simplify the decoder architecture, we enforce a strict prefix constraint on the codewords. We develop a data compression architecture that provably achieves a near minimum time-average expected bitrate for a fixed constraint on the LQG performance. The architecture conforms to the strict prefix constraint and does not require time-varying lossless source coding, in contrast to the prior art.

Cite

@article{arxiv.2207.12614,
  title  = {Time-invariant prefix-free source coding for MIMO LQG control},
  author = {Travis C. Cuvelier and Takashi Tanaka and Robert W. Heath},
  journal= {arXiv preprint arXiv:2207.12614},
  year   = {2022}
}

Comments

7 pages, 2 figures, accepted to the 2022 IEEE Mediterranean Conference on Communications and Networking (MeditCom 2022)

R2 v1 2026-06-25T01:13:33.491Z