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Calgenometry
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From wikipedia: "In signal processing, the Nyquist rate, named after Harry Nyquist, is twice the bandwidth of a bandlimited function or a bandlimited channel."Calgenometry said:Example is x(T) = 2sin(2000piT)+3cos(6000piT)
there will be two nyquist rate?
The Nyquist Rate refers to the minimum sampling rate required to accurately capture and reconstruct a continuous signal without any loss of information.
The Nyquist Rate can be calculated by taking the highest frequency component in the signal and doubling it. This ensures that the sampling rate is at least twice the highest frequency, allowing for accurate reconstruction.
Yes, the Nyquist Rate can be exceeded, but it may result in aliasing, where higher frequency components are misrepresented as lower frequency components in the reconstructed signal.
If the Nyquist Rate is not met, the reconstructed signal will not accurately represent the original continuous signal, resulting in distortion and loss of information.
The number of given samples does not directly affect the Nyquist Rate, as it is determined by the highest frequency component in the signal. However, a larger number of samples can result in a more accurate representation of the original signal during reconstruction.