Identification of FIR Systems With Binary Input and Output Observations

• 成果类型: Article
• 署名作者: Leong, Alex S.; Weyer, Erik; Nair, Girish N.
• 署名单位: Defence Science & Technology; University of Melbourne
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3042478
• 发表日期: 2021
• 页码: 1190-1198
• 关键词: Finite impulse response filters; RIVERS; Random variables; data models; Stochastic processes; STANDARDS; Pollution measurement; Binary measurements; FIR systems; Parameter Estimation; System identification

摘要

This article considers the identification of finite-impulse response systems, where information about the inputs and outputs of the system undergoes quantization into binary values before transmission to the estimator. In the case where the thresholds of the input and output quantizers can be adapted, we propose identification schemes that are strongly consistent for Gaussian distributed inputs and noises. The algorithms are based on the idea that certain joint probabilities of the unquantized signals can be estimated from the binary signals, and the system parameters can then be inferred from these estimates. The algorithms and their properties are illustrated in simulation examples.