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Find the autocorrelation, power and power spectral density of the signal $X (t) = 3 \cos t+4 \cos3t.$

Mumbai University > EXTC > Sem 4 > Signals and Systems

Marks : 10

Year : MAY 2014

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(i) Autocorrelation of sum of signals is equal to the sum of autocorrelation of the individual signal. Let $x(t) = A + B ……………… (1)$

Where, $A = 3 \cos t \text {and} B = 4 \cos 3t.$

Autocorrelation is given by, enter image description here

$A = ∫\limits_{-∞}^∞ x(k)x(k-t)dk$

By changing the limits …

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