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. …

Jul 23, 2025 · 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 …

The Nyquist theorem, also known as the Nyquist–Shannon sampling theorem, defines the conditions under which a continuous-time signal can be sampled and perfectly reconstructed from its samples, …

The Nyquist theorem is defined as the principle that the highest frequency that can be accurately represented in a sampled signal is half of the sampling rate. It specifies the minimum sampling rate …

Dec 2, 2024 · One way to do this is to sample the analog signal at a minimum of twice the maximum frequency of the wave, as stated by the Nyquist Theorem. As long as we abide by this theorem, our …

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.

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.

Video Lectures Lecture 12: Nyquist Theory Transcript Download video Download transcript

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.

If periodic x(t) is bandlimited to bandwidth and samples x[n] are obtained from x(t) by sampling at greater than Nyquist rate then can exactly reconstruct x(t) from samples using sinc interpolation formula