Transcription of Nyquist Theorem -- Sampling Rate Versus …
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Nyquist Theorem -- Sampling Rate Versus …
Nyquist Theorem -- Sampling Rate Versus bandwidth The Nyquist Theorem states that a signal must be sampled at least twice as fast as the bandwidth of the signal to accurately reconstruct the waveform; otherwise, the high-frequency content will alias at a frequency inside the spectrum of interest (passband). An alias is a false lower frequency component that appears in sampled data acquired at too low a Sampling rate. The following figure shows a 5 MHz sine wave digitized by a 6 MS/s ADC. The dotted line indicates the aliased signal recorded by the ADC at that sample rate. Sine Wave Demonstrating the Nyquist Frequency The 5 MHz frequency aliases back in the passband, falsely appearing as a 1 MHz sine wave. To prevent aliasing in the passband, a lowpass filter limits the frequency content of the input signal above the Nyquist rate. Filtering In the frequency domain, its relatively easy to remove certain frequencies from the digital signal.
Nyquist Theorem -- Sampling Rate Versus Bandwidth The Nyquist theorem states that a signal must be sampled at least twice as fast as the bandwidth of
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