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ECE 531: Detection and Estimation Theory

ece 531 : Detection and Estimation Theory Natasha Devroye ~devroye Spring 2011. Example of Detection Example of Estimation Goals infer value of unknown state of nature based on noisy observations Mathematically, optimally Noise Transmission /. Nature Processing measurement phenomenon model of observation decision rule experiment or transmission Estimation function process the ``truth''. mapping from observation space model of hypothesis H to decisions/. estimates Detection example 1: digital communications Noise Source Encoder Channel Decoder Destination 10001010100010. Detect? Detection example 2: Radar communication Send Receive Hypothesis Detect?

Example of estimation Goals • infer value of unknown state of nature based on noisy observations Mathematically, optimally model of hypothesis H Nature Transmission / measurement Processing Noise phenomenon experiment

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