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In equation \(x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)]\), if \(F^{-1} [2V(F)]=δ(t)+j/πt\) and \(F^{-1} [X(F)]\) = x(t). Then the value of ẋ(t) is?(a) \(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t+τ} dτ\)(b) \(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t-τ} dτ\)(c) \(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\)(d) \(\frac{1}{π} \int_{-\infty}^\infty \frac{4x(t)}{t-τ} dτ\)This question was addressed to me in an interview for internship.My query is from The Representation of Bandpass Signals in division Sampling and Reconstruction of Signals of Digital Signal Processing |
Answer» Correct ANSWER is (B) \(\frac{1}{π} \int_{-\INFTY}^\infty \frac{x(t)}{t-τ} dτ\) |
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