A Mathematical Theory of Communication

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• 39 sections
• 0 figures
• 0 equations
• 0 references
• cited by 0 here
• difficulty 4 of 5
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Contents

• Introduction
• 1THE DISCRETE NOISELESS CHANNEL
• 2THE DISCRETE SOURCE OF INFORMATION
• 3THE SERIES OF APPROXIMATIONS TO ENGLISH
• 4Third-order approximation (trigram structure as in English)
• 5Ergodic and Mixed Sources
• 6Choice, Uncertainty and Entropy
• 7THE ENTROPY OF AN INFORMATION SOURCE
• 8REPRESENTATION OF THE ENCODING AND DECODING OPERATIONS
• 9THE FUNDAMENTAL THEOREM FOR A NOISELESS CHANNEL
• 10DISCUSSION AND EXAMPLES
• 11REPRESENTATION OF A NOISY DISCRETE CHANNEL
• 12EQUIVOCATION AND CHANNEL CAPACITY
• 13The Fundamental Theorem for a Discrete Channel with Noise
• 14DISCUSSION
• 15EXAMPLE OF A DISCRETE CHANNEL AND ITS CAPACITY
• 16THE CHANNEL CAPACITY IN CERTAIN SPECIAL CASES
• 17AN EXAMPLE OF EFFICIENT CODING
• Appendix 1
• Appendix 2
• Appendix 3
• Appendix 4
• 18SETS AND ENSEMBLES OF FUNCTIONS
• 19Band Limited Ensembles of Functions
• 20Entropy of a Continuous Distribution
• 21Entropy of an Ensemble of Functions
• 22Entropy Loss in Linear Filters
• 23ENTROPY OF A SUM OF TWO ENSEMBLES
• 24THE CAPACITY OF A CONTINUOUS CHANNEL
• 25Channel Capacity with an Average Power Limitation
• 26THE CHANNEL CAPACITY WITH A PEAK POWER LIMITATION
• 27FIDELITY EVALUATION FUNCTIONS
• 28THE RATE FOR A SOURCE RELATIVE TO A FIDELITY EVALUATION
• 29THE CALCULATION OF RATES
• Acknowledgments
• Appendix 5
• Appendix 6
• Appendix 7

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