Here's a popular text in Information Theory which goes into some detail on data compression and communication channels. Definitely a good one to read through!
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We'll review chapter[masked] on the gaussian channel, and work through some problems.
Would anyone like to volunteer to present a problem? Let us know in the comments! I'll read through the problems, and suggest a few that look interesting. Feel free to do the same! We'll present solutions and discuss the material at the next meet up.
• Probability theory: (moderate level) Joint distributions and marginalization; conditioning; Bayes' Theorem; Law of Large Numbers, Asymptotic Equipartition Property
• Analysis: (beginner to moderate level) Know what a set is; know what a logarithm is; understand the basic ideas of proofs
• Calculus (moderate level) be able to take integrals, and understand the relationship between infinite sums and integrals.
• Chs. 1 - 8 -- we're getting fairly pre-requisite dependent now, until we get into the stats part later on.