# On the capacity of computer memory with defects

@article{Heegard1983OnTC,
title={On the capacity of computer memory with defects},
author={Chris Heegard and Abbas El Gamal},
journal={IEEE Trans. Inf. Theory},
year={1983},
volume={29},
pages={731-739}
}
• Published 1 September 1983
• Computer Science
• IEEE Trans. Inf. Theory
A computer memory with defects is modeled as a discrete memoryless channel with states that are statistically determined. [] Key Method Arimoto-Blahut type algorithms are used to compute the storage capacity.
344 Citations

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## References

SHOWING 1-10 OF 20 REFERENCES
An error correcting scheme for defective memory
• Computer Science
IEEE Trans. Inf. Theory
• 1978
A scheme for storing information in a memory system with defective memory ceils using "additive" codes was proposed by Kuznetsov and Tsybakov, and considerably better bounds on the information rate are presented.
An algorithm for computing the capacity of arbitrary discrete memoryless channels
• S. Arimoto
• Computer Science
IEEE Trans. Inf. Theory
• 1972
A systematic and iterative method of computing the capacity of arbitrary discrete memoryless channels is presented and a few inequalities that give upper and lower bounds on the capacity are derived.
Computation of channel capacity and rate-distortion functions
• R. Blahut
• Computer Science
IEEE Trans. Inf. Theory
• 1972
A simple algorithm for computing channel capacity is suggested that consists of a mapping from the set of channel input probability vectors into itself such that the sequence of probability vectors generated by successive applications of the mapping converges to the vector that achieves the capacity of the given channel.
Noiseless coding of correlated information sources
• Computer Science
IEEE Trans. Inf. Theory
• 1973
The minimum number of bits per character R_X and R_Y needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders is determined.
A coding theorem for the discrete memoryless broadcast channel
• K. Marton
• Computer Science
IEEE Trans. Inf. Theory
• 1979
A coding theorem for the discrete memoryless broadcast channel is proved for the case where no common message is to he transmitted and the result is tight for broadcast channels having one deterministic component.
On source coding with side information via a multiple-access channel and related problems in multi-user information theory
• Computer Science
IEEE Trans. Inf. Theory
• 1983
A coding theorem is introduced and established for another type of source-channel matching problem, i.e., a system of source coding with side information via a MAC, which can be regarded as an extension of the Ahlswede-Korner-Wyner type noiseless coding system.
Coding Theorems of Information Theory
• J. Wolfowitz
• Computer Science
Ergebnisse der Mathematik und Ihrer Grenzgebiete
• 1961
This chapter discusses the Discrete Memoryless Channel, a discrete memoryless channel with additive Gaussian noise, and the coding theorem, which states that message sequences on the periphery of the sphere or within a shell adjacent to the boundary should be considered to be discrete.
Principles of digital communication and coding
• V. Chan
• Mathematics
Proceedings of the IEEE
• 1981
The author has achieved to a considerable degree his stated goals of making the book interesting to practicing engineers, useful as a textbook for graduate students, and a starting point for further investigation by researchers.
A proof of the data compression theorem of Slepian and Wolf for ergodic sources (Corresp.)
• T. Cover
• Computer Science, Mathematics
IEEE Trans. Inf. Theory
• 1975
It is established that the Slepian-Wolf theorem is true without change for arbitrary ergodic processes \{(X_i,Y_i)\}_{i=1}^{\infty} and countably infinite alphabets.