State the Nyquist sampling rate of y(t)
Question
State the Nyquist sampling rate of y(t)
Solution
To determine the Nyquist sampling rate of y(t), we need to consider the highest frequency component present in the signal y(t). The Nyquist sampling theorem states that in order to accurately reconstruct a signal, the sampling rate must be at least twice the highest frequency present in the signal.
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Identify the highest frequency component in y(t). This can be done by analyzing the frequency content of the signal using techniques such as Fourier analysis.
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Once the highest frequency component is determined, multiply it by 2 to obtain the Nyquist frequency.
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The Nyquist sampling rate is then equal to twice the Nyquist frequency. This means that the sampling rate should be at least twice the value obtained in step 2.
By following these steps, you can determine the Nyquist sampling rate of y(t) based on its highest frequency component.
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