GATE EE 2016 Set 2 — Question 15
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Signals & Systems → Fourier Analysis & Sampling → Fourier Transform Properties
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Question
Suppose the maximum frequency in a band-limited signal is . Then, the maximum frequency in , in , is ________.
Correct answer
6 to 6
Solution
1.Let the maximum frequency of be .
2.The signal is multiplied by . The frequency of this cosine wave is .
3.Multiplication by a cosine in the time domain results in a frequency shift in the frequency domain: .
4.The original spectrum is band-limited to . Shifting it by results in a spectrum spanning from to .
5.The new maximum frequency is .
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