(a) When a continuous signal is sampled periodically by ideal impulses what happens to its spectrum? (b) State and explain the sampling theorem for lowpass signals, using diagrams where appropriate. (c) For the signal fn, n = 0, 1, ..., N - 1, write down the formula for its discrete- time Fourier transform (DTFT). Using appropriate diagrams and equations, relate its DTFT to its discrete Fourier transform (DFT).
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This is known as the spectrum aliasing effect. The replicated spectra are centered around multiples of the sampling frequency, and the original spectrum is folded back into the Nyquist frequency range. b) The sampling theorem for lowpass signals states that in Show more…
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