The frequency spectrum of a signal is shown in the figure. If this is ideally sampled at intervals of 1 ms, then the frequency spectrum of the sampled signal will be
A
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B
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C
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D
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Solution
The correct option is A
Given that, sampling interval = 1 msec
i.e Ts=1msec=10−3sec
Therefore sampling frequency Fs=1Ts=110−3=1kHz
after sampling new signal in frequency domain UT(f)=1Ts∑∞n=−∞U(f−nfs) ∴ Spectrum of sampled signal will be