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Unformatted text preview: THE STATE UNIVERSITY OF NEW JERSEY RUTGERS College of Engineering Department of Electrical and Computer Engineering 332:322 Principles of Communications Systems Spring 2004 Problem Set 11 Haykin: 5.15.7 1. Cora and Squirrely Signal Design: Cora the communications engineer has been given a set of signals: s 1 ( t ) = cos ω c t + cos 2 ω c t s 2 ( t ) = cos ω c t s 3 ( t ) = cos ω c t cos 2 ω c t s 4 ( t ) = cos 2 ω c t for use on an interval (0 , T b ) where T b = 2 π/ω c . She needs to build a communication system around these signals to transmit her four (4) equally likely messages. However, her boss, Marty the Squirrel (how things change!) want’s to know how well they’ll work. Specifically, he wants to know the maximum probability of error when using a correlator receiver. (a) Find a set of orthonormal functions to represent this set. (b) Rewrite the s i ( t ) in terms of your orthormal set....
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 Spring '08
 Rose
 Probability, Probability theory, Likelihoodratio test, signal space, Cora

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