Signal vectors s1 and s2 are used to represent binary symbol

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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

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: EM131282525

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