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this is neil patwari in this segment im going to draw all of the decision regions for all the symbols that we have in an emery constellation im going to show that its what we call a veronite diagram and well just take some modulation here ill draw the symbols in green and im going to pick some m equals 4 modulation and this is not qpsk its not just my bad drawing im trying not to draw qpsk so that i can have some slightly more interesting decision regions so what im going to do is im going to go through this procedure where im gonna go through these three steps one im gonna start with any particular symbol im gonna then look at each pair and im gonna draw the perpendicular bisector between those pair of symbols that perpendicular bisector im going to identify the half space that would make me decide symbol i and then im going to repeat and then finally when i have all these spaces im going to identify the intersection of all of those half spaces and then im going to