Transcription of AnIntroductionto StatisticalSignalProcessing - Stanford EE
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AnIntroductionto StatisticalSignalProcessing - Stanford EE
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 Distributions of random Random vectors and random Distributions of random Independent random
other reasons, it is useful to have a theory for the analysis and synthesis of pro-cesses that behave in a random or unpredictable manner. The goal is to construct mathematical models that lead to reasonably accurate prediction of the long-term average behavior of random processes. The theory should produce good estimates
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