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What is the new centre frequency for the increased bandwidth signal?

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What is the new centre frequency for the increased bandwidth signal?

(a) Fc‘= Fc+B/2+B’/2

(b) Fc‘= Fc+B/2-B’/2

(c) Fc‘= Fc-B/2-B’/2

(d) None of the mentioned

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I'd like to ask this question from Sampling of Band Pass Signals topic in section Sampling and Reconstruction of Signals of Digital Signal Processing

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The correct option is (b) Fc‘= Fc+B/2-B’/2

Explanation: A new centre frequency for the increased bandwidth signal is Fc‘ = Fc+B/2-B’/2

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