The Nyquist theorem is a foundational principle in Digital Signal Processing (DSP) that defines the criteria for sampling rates for accurate signal capture and reconstruction:
- The theorem states a signal must be sampled at a rate greater than twice its highest frequency component (the Nyquist rate) to be perfectly reconstructed.
- It guides the determination of sampling rates in DSP systems to ensure accurate digital representation of analog signals.
- Preventing aliasing by adhering to the Nyquist rate is crucial for maintaining signal integrity during digital conversion.
- It informs the design of anti-aliasing filters and efficient data representation, optimizing DSP system performance.
By following the Nyquist theorem, DSP systems can accurately digitize and process analog signals across various applications, from audio processing to telecommunications.