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AnIntroductionto StatisticalSignalProcessing

IAn Introduction toStatistical Signal ProcessingPr(f F) =P({ : F}) =P(f 1(F))f 1(F)fF-January 4, 2011iiAn Introduction toStatistical Signal ProcessingRobert M. GrayandLee D. DavissonInformation Systems LaboratoryDepartment of Electrical EngineeringStanford UniversityandDepartment of Electrical Engineering and Computer ScienceUniversity of Marylandc 2004 by Cambridge University Press. Copies of the pdf file maybedownloaded for individual use, but multiple copies cannot be made or printedwithout our FamiliesContentsPrefacepageixAcknowledge mentsxiiGlossaryxiii1 Introduction12 Spinning pointers and flipping Probability Discrete probability Continuous probability Elementary conditional Problems733 Random variables, vectors, and Random

These simple proofs, however, often provide the groundwork for “handwaving” jus-tifications of more general and complicated results that are semi-rigorous in that they can be made rigorous by the appropriate delta-epsilontics of real analysis or measure theory. A primary goal of this approach is thus to use intuitive arguments

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