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53,729
Fifty Years of Shannon Theory
, 1998
"... A brief chronicle is given of the historical development of the central problems in the theory of fundamental limits of data compression and reliable communication. ..."
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Cited by 50 (1 self)
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A brief chronicle is given of the historical development of the central problems in the theory of fundamental limits of data compression and reliable communication.
Fifty Years of Shannon Theory
, 1998
"... A brief chronicle is given of the historical development of the central problems in the theory of fundamental limits of data compression and reliable communication. ..."
Abstract
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A brief chronicle is given of the historical development of the central problems in the theory of fundamental limits of data compression and reliable communication.
Shannon Theory for Compressed Sensing
, 2011
"... Compressed sensing is a signal processing technique to encode analog sources by real numbers rather than bits, dealing with efficient recovery of a real vector from the information provided by linear measurements. By leveraging the prior knowledge of the signal structure (e.g., sparsity) and designi ..."
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of the theoretical limits of the compressed sensing paradigm. As opposed to the conventional worstcase (Hamming) approach, this thesis presents a statistical (Shannon) study of compressed sensing, where signals are modeled as random processes rather than individual sequences. This framework encompasses more general
An extension of the Shannon theory approach to cryptography
 IEEE Transactions on Information Theory
, 1977
"... AbstractShannon’s informationtheoretic approach to cryptography is reviewed and extended. It is shown that Shannon’s random cipher model is conservative in that a randomly chosen cipher is essentially the worst possible. This is in contrast with errorcorrecting codes where a randomly chosen code ..."
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Cited by 35 (2 self)
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AbstractShannon’s informationtheoretic approach to cryptography is reviewed and extended. It is shown that Shannon’s random cipher model is conservative in that a randomly chosen cipher is essentially the worst possible. This is in contrast with errorcorrecting codes where a randomly chosen
Some Analogies Between Thermodynamics and Shannon Theory
"... Abstract — In this paper we present some analogies between thermodynamics and certain Shannon theory results. We revisit the previously published results that relate notion of energy and information. We then introduce a thermodynamic system that could be used to store information. The ideal gas is c ..."
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Abstract — In this paper we present some analogies between thermodynamics and certain Shannon theory results. We revisit the previously published results that relate notion of energy and information. We then introduce a thermodynamic system that could be used to store information. The ideal gas
Sampling—50 years after Shannon
 Proceedings of the IEEE
, 2000
"... This paper presents an account of the current state of sampling, 50 years after Shannon’s formulation of the sampling theorem. The emphasis is on regular sampling, where the grid is uniform. This topic has benefited from a strong research revival during the past few years, thanks in part to the math ..."
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Cited by 338 (27 self)
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to the mathematical connections that were made with wavelet theory. To introduce the reader to the modern, Hilbertspace formulation, we reinterpret Shannon’s sampling procedure as an orthogonal projection onto the subspace of bandlimited functions. We then extend the standard sampling paradigm for a representation
Quantization
 IEEE TRANS. INFORM. THEORY
, 1998
"... The history of the theory and practice of quantization dates to 1948, although similar ideas had appeared in the literature as long ago as 1898. The fundamental role of quantization in modulation and analogtodigital conversion was first recognized during the early development of pulsecode modula ..."
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Cited by 883 (12 self)
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modulation systems, especially in the 1948 paper of Oliver, Pierce, and Shannon. Also in 1948, Bennett published the first highresolution analysis of quantization and an exact analysis of quantization noise for Gaussian processes, and Shannon published the beginnings of rate distortion theory, which would
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
, 2009
"... We give optimal tradeoffs between classical communication, quantum communication, and entanglement for processing information in the Shannontheoretic setting. We first prove a “unitresource” capacity theorem that applies to the scenario where only the above three noiseless resources are available ..."
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Cited by 11 (8 self)
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We give optimal tradeoffs between classical communication, quantum communication, and entanglement for processing information in the Shannontheoretic setting. We first prove a “unitresource” capacity theorem that applies to the scenario where only the above three noiseless resources
Results 1  10
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53,729