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nyquist criteria sates that original signal can be reconstructed by passing samples through a Select one:a. HPF with cut off fsb. LPF with cut off fsc. HPF with cut off fmd. LPF with cut off fm

Question

nyquist criteria sates that original signal can be reconstructed by passing samples through a Select one:a. HPF with cut off fsb. LPF with cut off fsc. HPF with cut off fmd. LPF with cut off fm

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Solution

The Nyquist criterion states that the original signal can be reconstructed by passing samples through a Low Pass Filter (LPF) with a cut-off frequency of fs. So, the correct answer is b. LPF with cut off fs.

Here's the step-by-step explanation:

  1. The Nyquist-Shannon sampling theorem is a fundamental bridge between continuous-time signals (analog signals) and discrete-time signals (digital signals). It provides a prescription for how to sample a continuous-time signal without incurring any loss of information.

  2. According to the theorem, to perfectly reconstruct the original signal from its samples, the sampling rate must be greater than twice the highest frequency component in the signal. This highest frequency component is denoted by fs.

  3. After sampling, the signal is reconstructed by passing the samples through a Low Pass Filter (LPF)

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