Nyquist rate

Nyquist Rate

The Nyquist Rate is a fundamental concept in Digital Signal Processing and Telecommunications. Named after Harry Nyquist, a Swedish-American engineer, it defines the minimum rate at which a signal can be sampled without introducing aliasing.

Definition

The Nyquist Rate is twice the highest frequency present in the signal. Mathematically, if f is the highest frequency component in a signal, the Nyquist Rate N is given by:

N = 2f

This is known as the Nyquist–Shannon sampling theorem, which states that perfect reconstruction of a signal is possible when the sampling frequency is greater than twice the maximum frequency of the signal being sampled.

Importance

The Nyquist Rate is crucial in the field of Digital Signal Processing and Telecommunications. It is used to determine the minimum sampling rate required to accurately capture the information in a signal without introducing aliasing. If a signal is sampled below its Nyquist Rate, the signal cannot be accurately reconstructed, leading to a phenomenon known as aliasing.

Applications

The Nyquist Rate finds applications in various fields such as Telecommunications, Audio Signal Processing, Image Processing, and Data Compression. In Telecommunications, it is used to determine the minimum sampling rate for analog-to-digital conversion. In Audio Signal Processing, it is used to determine the sampling rate for audio signals. In Image Processing, it is used to determine the resolution of images. In Data Compression, it is used to determine the minimum data rate for lossless compression.

See Also

• Nyquist–Shannon sampling theorem
• Aliasing
• Sampling (signal processing)
• Digital Signal Processing
• Telecommunications

References

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  Nyquist frequency and rate illustration
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  Bandlimited signal representation
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  Bandpass sampling depiction