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This paper develops an information-theoretic understanding of side information in control systems. We build on the notion of "control capacity" — the rate at which a controller can dissipate uncertainty in a system over an actuation channel — and quantify the change in control capacity due to side information. The results build on the bit-level carry-free models that are widely used to understand...
This talk intends to bring out the following ideas: Understanding decoding power is important for design of relevant codes at short distances. Just as we have models for channel to understand transmit power, we need models of decoding implementation to understand decoding power. Node model: total power diverges to infinity as Pe → 0. Optimal transmit power bounded away from Shannon limit. Wire model:...
The issue of whether feedback can significantly increase reliability in the fixed-length channel code setting is further investigated. This paper considers the problem of error exponents for block codes with noiseless, delayed feedback used over discrete memoryless channels (DMCs) - including asymmetric channels with and without zeros in their transition matrix. We show that when output feedback is...
Berger's paper `The Source Coding Game', IEEE Trans. Inform. Theory, 1971, considers the problem of finding the rate-distortion function for an adversarial source comprised of multiple known IID sources. The adversary, called the `switcher', was allowed only causal access to the source realizations and the rate-distortion function was obtained through the use of a type covering lemma. In this paper,...
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