A circuit measures a noise voltage and quantises each sample to one of three levels. Let denote the resulting normalised quantised sample, where can take only the values , and , each with equal probability. A digital monitoring system computes the power-related metric . Which statement is correct?

Question

A circuit measures a noise voltage and quantises each sample to one of three levels. Let    denote the resulting normalised quantised sample, where    can take only the values   ,    and   , each with equal probability. A digital monitoring system computes the power-related metric   . Which statement is correct?

Accepted Answer

and    are uncorrelated but dependent.

Answer

and    are negatively correlated because squaring removes the sign of   .

Answer

and    are independent because   .

Answer

and    are positively correlated because larger values of    produce larger values of   .

Answer

and    are independent because    contains no information about the sign of   .

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A circuit measures a noise voltage and quantises each sample to one of three lev...

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