Sample Rate Nyquist Theorem
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Sample Rate Nyquist Theorem. If we were to store sound, like music, to a cd, the audio signal must be . In order to have the signal be uniquely reconstructed without aliasing.
Suppose the highest frequency component, in hertz, for a given analog signal is fmax. Half of this value, fmax, is . If we were to store sound, like music, to a cd, the audio signal must be .
In order to have the signal be uniquely reconstructed without aliasing.
The sampling frequency should be at least twice the highest frequency contained in the signal. According to the nyquist theorem, the sampling rate must be at least . The frequency 2·fmax is called the nyquist sampling rate. As an example, humans can detect or hear frequenies in the range of 20 hz to 20,000 hz.