Show that given decision rule is equivalent to the condition

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Reference no: EM131280821

The signal vectors s1 and s2 are used to represent binary symbols 1 and 0, respectively, in a binary FSK system using coherent detection. The receiver decides in favor of symbol1 when

1674_Equation 2.jpg

where xTsi is the inner product of the observation vector x and the signal vector si , i = 1, 2.

Show that this decision rule is equivalent to the condition x1 > x2, where x1 and x2 are the two elements of the observation vector x. Assume that the signal vectors s1 and s2 have equal energy.

Reference no: EM131280821

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