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Nyquist–Shannon sampling theorem - Wikipedia
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. The theorem states that the sample rate must be at least twice the bandwidth of the signal to avoid aliasing.
Nyquist Sampling Theorem | GeeksforGeeks
Feb 27, 2024 · The Nyquist Sampling Theorem explains the relationship between the sample rate and the frequency of the measured signal. It is used to suggest that the sampling rate must be twice the highest frequency in the signal.
The Nyquist–Shannon Theorem: Understanding Sampled Systems
May 6, 2020 · 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.
Sampling Theorem: Suppose a signal is bandlimited. Let B be the maximum frequency in its frequency spectrum. If the signal is sampled at rate fs > 2B, then it can be reconstructed exactly from its samples. 2B is called the Nyquist rate and the condition fs > 2B required for reconstruction is called the Nyquist condition.
Acquiring an Analog Signal: Bandwidth, Nyquist Sampling Theorem…
Jul 15, 2024 · The Nyquist Sampling Theorem explains the relationship between the sample rate and the frequency of the measured signal. It states that the sample rate f s must be greater than twice the highest frequency component of interest in the measured signal.
Nyquist Theorem - an overview | ScienceDirect Topics
The Nyquist theorem specifies that a sinuisoidal function in time or distance can be regenerated with no loss of information as long as it is sampled at a frequency greater than or equal to twice per cycle.
The sampling spectrum of x[n] is identical to the spectrum of the input x(t) to digitizer. Therefore the fundamental frequency can be recovered (along with sinusoidal amplitude and phase) from the DT spectrum (DFT) of the sampled signal via the formula
What is the Nyquist theorem? - TechTarget
The Nyquist theorem is also known as the sampling theorem. It is the principle to accurately reproduce a pure sine wave measurement, or sample, rate, which must be at least twice its frequency.
10.2: Sampling Theorem - Engineering LibreTexts
The Nyquist-Shannon Sampling Theorem states that a signal bandlimited to (−π/Ts, π/Ts) (− π / T s, π / T s) can be reconstructed exactly from its samples with sampling period Ts T s.
2.3. The Nyquist-Shannon sampling theorem — Digital Signals …
The basic idea of the Nyquist-Shannon theorem is that if the sampling rate f s is sufficiently large (compared to the bandwidth of the signal), then aliasing can’t hurt us: aliases must have zero amplitude.