Coding for Noncausal Tracking

Robert Graczyk, A. Lapidoth
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Abstract

A source generates a random sequence that is then described to a controller who wishes to employ feedback control on a given finite-state system in order for its output to closely resemble the sequence. The tension between the best achievable expected fidelity and the description length is studied in the asymptotic regime where the length of the sequence tends to infinity, with the description rate held fixed. The solution is the source-coding dual of coding for channels with states.
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源生成一个随机序列,然后将其描述给控制器,控制器希望对给定的有限状态系统采用反馈控制,以使其输出与序列非常相似。研究了在序列长度趋于无穷大且描述速率保持不变的渐近状态下,最佳期望保真度与描述长度之间的关系。解决方案是对具有状态的信道进行编码的源编码对偶。
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