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Which of the following is the auto correlation of x(n)?(a) rxy(l)=x(l)*x(-l)(b) rxy(l)=x(l)*x(l)(c) rxy(l)=x(l)+x(-l)(d) None of the mentionedThis question was posed to me in homework.My query is from Correlation of Discrete Time Signals topic in chapter Discrete Time Signals and Systems of Digital Signal Processing

Answer»

The CORRECT choice is (a) rxy(l)=x(l)*x(-l)

Best explanation: We know that, the correlation of TWO SIGNALS x(n) and y(n) is rxy(l)=\(\sum_{n=-\infty}^{\infty} x(n)y(n-1)\)

Let x(n)=y(n) => RXX(l)=\(\sum_{n=-\infty}^{\infty}x(n)x(n-l)\) = x(l)*x(-l)



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