By Solomon W. Golomb

ISBN-10: 1441932364

ISBN-13: 9781441932365

ISBN-10: 1475723199

ISBN-13: 9781475723199

Basic strategies in details thought and Coding is an outgrowth of a one semester introductory direction that has been taught on the college of Southern California because the mid-1960s. Lecture notes from that direction have developed based on pupil response, new technological and theoretical boost ments, and the insights of college individuals who've taught the direction (in cluding the 3 of us). In featuring this fabric, now we have made it available to a large viewers via proscribing must haves to simple calculus and the ele mentary recommendations of discrete chance idea. to maintain the cloth appropriate for a one-semester path, we've got constrained its scope to discrete info idea and a normal dialogue of coding concept with out specified therapy of algorithms for encoding and deciphering for varied particular code sessions. Readers will locate that this ebook deals an strangely thorough remedy of noiseless self-synchronizing codes, in addition to the benefit of challenge sections which were honed by way of reactions and interactions of numerous gen erations of brilliant scholars, whereas Agent 00111 presents a context for the dialogue of summary concepts.

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**Extra resources for Basic Concepts in Information Theory and Coding: The Adventures of Secret Agent 00111**

**Sample text**

In the previous section, we found that for an nth-order homogeneous Markov source, H(M 1 MOO) == jjt Pstat lSI == L m=l 1 Pr(sjlsm) log P ( I ) j=l r S1 Sm lSI Pstatm L (87) where P statm is the stationary probability of being in state Sm. Substituting Equations 86 and 87 into Equation 84 gives Introduction Using { 49 } to denote events, it follows that (89) since for the left side of Equation 89 to be greater than E, at least one of the 1S 12 + 1 terms on the right side of Equation 89 must exceed E/ ( 1S 12 + 1).

Exercises 1. You are allowed to observe a randomly chosen card from a standard deck of 52 cards. How much information do you receive about the selected card when you observe: (a) The suit of the card? (b) The rank of the card? ( c) Both the rank and suit of the card? (d) What conclusions can you draw from (a), (b), and (c) about the mutual information on the rank and suit of a card from a standard deck? 20 Chapter 1 2. An information source has an alphabet consisting of the digits 1-8. The digits occur with equal probability.

Tutorial on Homogeneous Markov Sources This section contains a tutorial on Markov sources and the connection to entropy. 2. For those familiar with Markov chains, it is not essential reading. M(i-n), ... ,M(i-I)] (56a) and Pr[M( 1), ... , M(n)] fori=n+ l,n+2, (56b) for all possible choices of the indicated events. If we define the state of the nIh-order source at time i as the n most recent event observations s(i) = M(i - n + I), M(i - n + 2), ... s(i - I)] for i = n + I, n + 2, ... (58b) for all possible choices of the indicated states.

### Basic Concepts in Information Theory and Coding: The Adventures of Secret Agent 00111 by Solomon W. Golomb

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