sampling theorem

communications

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July 13, 2026

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The sampling theorem is a fundamental concept in telecommunications, particularly in converting analog signals to digital ones. It states that an analog signal can be accurately reconstructed from discrete samples if the sampling rate is at least twice the highest frequency component of the signal. This minimum sampling rate is known as the Nyquist rate, and the interval between samples is the Nyquist interval. This principle is crucial for ensuring high fidelity in transmitting information like speech, audio, and video, allowing multiple signals to share communication channels efficiently.123

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information theory
Continuous communication and the problem of bandwidth
…to bandwidth-limited signals is Nyquist’s sampling theorem, which states that a signal of bandwidth B can be reconstructed by taking 2B samples every second. In 1924, Harry Nyquist derived the following formula for the maximum data rate that can be achieved in a noiseless channel: Maximum Data Rate = 2…
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…to bandwidth-limited signals is Nyquist’s sampling theorem, which states that a signal of bandwidth B can be reconstructed by taking 2B samples every second. In 1924, Harry Nyquist derived the following formula for the maximum data rate that can be achieved in a noiseless channel: Maximum Data Rate = 2…
Read More

telecommunication
Sampling
…commonly referred to as the sampling theorem, and the sampling interval (1/2B seconds) is referred to as the Nyquist interval (after the Swedish-born American electrical engineer Harry Nyquist). As an example of the Nyquist interval, in past telephone practice the bandwidth, commonly fixed at 3,000 hertz, was sampled at least…
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…commonly referred to as the sampling theorem, and the sampling interval (1/2B seconds) is referred to as the Nyquist interval (after the Swedish-born American electrical engineer Harry Nyquist). As an example of the Nyquist interval, in past telephone practice the bandwidth, commonly fixed at 3,000 hertz, was sampled at least…
Read More

Harry Nyquist
…and established the principles of sampling continuous signals to convert them to digital signals. The Nyquist sampling theorem showed that the sampling rate must be at least twice the highest frequency present in the sample in order to reconstruct the original signal. These two papers by Nyquist, along with one…
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…and established the principles of sampling continuous signals to convert them to digital signals. The Nyquist sampling theorem showed that the sampling rate must be at least twice the highest frequency present in the sample in order to reconstruct the original signal. These two papers by Nyquist, along with one…
Read More