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Discrete Schemes without Memory
Elements of Encoding
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alphabet applied associated assume average band-limited binary channel capacity Chap communication compute concept conditional entropy conditional probability consider corresponding coset decoding defined density distribution density function digits discrete discrete random variable elements encoded messages encoding procedure ensemble entropy equation equiprobable ergodic error probability example Find Fourier fundamental theorem given group code independent random variables inequality information theory input integral IRE Trans joint probability letters linear Markov Markov chain mathematical memoryless mutual information n-dimensional noise normal distribution obtained outcomes output parity checks probability density probability density function probability distribution probability matrix probability of error probability scheme problem proof sample space sampling theorem selected sequence Shannon signal Solution specified standard deviation stationary process statistical stochastic process subsets symbols tion transformation transinformation transmission of information transmitted values vector zero