Get Collected Papers of Claude E. Shannon PDF

By Claude Elwood Shannon, A. D. Wyner, Neil J. A. Sloane

ISBN-10: 0780304349

ISBN-13: 9780780304345

This crucial e-book, the 1st released choice of papers via Claude E. Shannon, is an engaging advisor to the entire released articles from this world-renowned inventor, tinkerer, puzzle-solver, prankster, and father of knowledge idea. contains his seminal article THE MATHEMATICAL idea OF verbal exchange.

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Not included. [18] "Feedback Systems with Periodic Loop Closure," Memorandum MM 44110-32, March 16, 1944, Bell Laboratories. Not included. [19] "Two New Circuits for Alternate Pulse Counting," Typescript, May 29, 1944, Bell Laboratories, 2 pp. + 3 Figs. Not included. [20] "Counting Up or Down With Pulse Counters," Typescript, May 31, 1944, Bell Laboratories, 1 p. + 1 fig. Not included. [211 (With B. M. M. , 11 figs. Abstract only included in Part A. [22] · 'The Best Detection of Pulses," Memorandum MM 44-110-28, June 22, 1944, Bell Laboratories, 3 pp.

Received Sept. ) Reprinted in D. 1' Information Theory, IEEE Press, NY, 1974. Included in Part A. [ 117] "Probability of Error for Optimal Codes in a Gaussian Channel," Bell System Technical Journal, Vol. 38 (1959), pp. 611-656. (Received Oct. ) Included in Part A. [118] "Coding Theorems for a Discrete Source With a Fidelity Criterion," Institute of Radio Engineers, International Convention Record, Vol. 7 (Part 4, 1959), pp. 142-163. Reprinted with changes in Information and Decision Processes, edited by R.

According to a well known result in finite differences, N(t) is then asymptotic for large t to X~ where X o is the largest real solution of the characteristic equation: r 'l + x:» + ·.. + rift = 1 . and therefore C = logXo In case there are restrictions on allowed sequences we may stilloften obtain a difference equation of this type and find C from the characteristic equation. In the telegraphy case mentioned above N(t) = N(t - 2) + N(t - 4) + N(I - + N(t - 5) + N(t - 7) + N(t - 8) 10) as we see by counting sequences of symbols according to the last or next to the last symbol occurring.

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Collected Papers of Claude E. Shannon by Claude Elwood Shannon, A. D. Wyner, Neil J. A. Sloane

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