## Elementary Information Theory |

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### Contents

ELEMENTS OF PROBABILITY | 1 |

BASIC CONCEPTS | 38 |

CODING THEORY | 41 |

Copyright | |

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### Common terms and phrases

alphabet appears application associated assumed average becomes binary bits blocks bound capacity channel choice chosen code word Consequently considered contains continuous corresponding decoding defined Definition derivative determined digits discrete distribution entropy equally equally probable error Example Exercise exists experiment fact finite fixed following theorem function fx(x Gaussian given gives Hence increase inequality input input probabilities integration length less letters matrix maximum means mutual information noise obtain occurs outcomes output P(bs particular persistent positive possible prefix condition code probability density Proof Prove random variables respectively result right-hand side sampling satisfied selected sequence Show signals Similarly source letters source sequence statistically independent Suppose symbols Theorem transient transmission transmitted uncertainty uniquely unit zero