The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required to avoid a type of distortion called aliasing.

2024年2月27日 · Nyquist Sampling Theorem states that to reconstruct a continuous analog signal from its sampled version accurately, the sampling rate must be at least twice the highest frequency present in the signal.

The Nyquist theorem defines the minimum sample rate for the highest frequency that you want to measure. The Nyquist rate is 2x the given frequency to be measured accurately. The theorem can be used in reverse.

Nyquist's theorem states that a periodic signal must be sampled at more than twice the highest frequency component of the signal. In practice, because of the finite time available, a sample rate somewhat higher than this is necessary.

2020年5月6日 · The Nyquist sampling theorem, or more accurately the Nyquist-Shannon theorem, is a fundamental theoretical principle that governs the design of mixed-signal electronic systems. Modern technology as we know it would not exist without analog-to-digital conversion and digital-to-analog conversion.

2024年12月2日 · The Nyquist-Shannon sampling theorem states that a CT signal should be sampled at a rate greater than twice the maximum component frequency (wM) present in the signal. This is the Nyquist rate, and it prevents aliasing (more on this later). This allows signal x(t) to be recovered from its samples.

In signal processing, the Nyquist frequency (or folding frequency), named after Harry Nyquist, is a characteristic of a sampler, which converts a continuous function or signal into a discrete sequence.

2024年2月7日 · This Criteria, also known as the Nyquist-Shannon Sampling Theorem, provides a fundamental guideline for determining the minimum sampling rate required to faithfully reconstruct a continuous-time signal in its digital form.

2022年5月22日 · The Nyquist-Shannon Sampling Theorem states that a signal bandlimited to \(\left(-\pi / T_{s}, \pi / T_{s}\right)\) can be reconstructed exactly from its samples with sampling period \(T_s\).

2023年7月31日 · The Nyquist Theorem is a fundamental concept that lies at the core of digital signal processing (DSP) and communication systems. Understanding the Nyquist Theorem is essential for designing and analyzing electronic circuits, wireless communication systems, and data transmission protocols.