Nyquist theorem

Nyquist Theorem

(communications)A theorem stating that when an analoguewaveform is digitised, only the frequencies in the waveformbelow half the sampling frequency will be recorded. Inorder to reconstruct (interpolate) a signal from a sequence ofsamples, sufficient samples must be recorded to capture thepeaks and troughs of the original waveform. If a waveform issampled at less than twice its frequency the reconstructedwaveform will effectively contribute only noise. Thisphenomenon is called "aliasing" (the high frequencies are"under an alias").

This is why the best digital audio is sampled at 44,000 Hz -twice the average upper limit of human hearing.

The Nyquist Theorem is not specific to digitised signals(represented by discrete amplitude levels) but applies to anysampled signal (represented by discrete time values), not justsound.

Nyquist(the man, somewhat inaccurate).

Nyquist theorem

The concept behind digitizing sound. Working at Bell Labs, Harry Nyquist discovered that it was not necessary to capture the entire analog waveform, and samples of the wave could be taken at various points. He also found that in order to have enough information in the sample pool to reconstruct the original waveform, the sampling rate must be at least twice the signal bandwidth.

The Basis for PCM
These realizations became the foundation for using pulse code modulation (PCM) to convert analog sound to digital in North America and Japan. A typical 4 kHz voice signal is sampled 8,000 times a second, with each sample converted into an 8-bit number, resulting in a 64 Kbps data stream (a single DS0 channel). See sampling and PCM.

The Human Ear
It was believed that people could not hear a frequency greater than 20 kHz (20,000 cycles per second). However, this number was always an approximation and has been challenged since the first music CDs came on the market in the mid-1980s. To deliver 20 kHz to the human ear, analog waves are sampled at 44.1 kHz for a regular music CD. Next-generation audio takes samples more frequently (see SACD and DVD-Audio.

单词	nyquist theorem
释义	DictionarySeesampling Nyquist theorem Nyquist Theorem (communications)A theorem stating that when an analoguewaveform is digitised, only the frequencies in the waveformbelow half the sampling frequency will be recorded. Inorder to reconstruct (interpolate) a signal from a sequence ofsamples, sufficient samples must be recorded to capture thepeaks and troughs of the original waveform. If a waveform issampled at less than twice its frequency the reconstructedwaveform will effectively contribute only noise. Thisphenomenon is called "aliasing" (the high frequencies are"under an alias"). This is why the best digital audio is sampled at 44,000 Hz -twice the average upper limit of human hearing. The Nyquist Theorem is not specific to digitised signals(represented by discrete amplitude levels) but applies to anysampled signal (represented by discrete time values), not justsound. Nyquist(the man, somewhat inaccurate). Nyquist theorem The concept behind digitizing sound. Working at Bell Labs, Harry Nyquist discovered that it was not necessary to capture the entire analog waveform, and samples of the wave could be taken at various points. He also found that in order to have enough information in the sample pool to reconstruct the original waveform, the sampling rate must be at least twice the signal bandwidth. The Basis for PCM These realizations became the foundation for using pulse code modulation (PCM) to convert analog sound to digital in North America and Japan. A typical 4 kHz voice signal is sampled 8,000 times a second, with each sample converted into an 8-bit number, resulting in a 64 Kbps data stream (a single DS0 channel). See sampling and PCM. The Human Ear It was believed that people could not hear a frequency greater than 20 kHz (20,000 cycles per second). However, this number was always an approximation and has been challenged since the first music CDs came on the market in the mid-1980s. To deliver 20 kHz to the human ear, analog waves are sampled at 44.1 kHz for a regular music CD. Next-generation audio takes samples more frequently (see SACD and DVD-Audio. Nyquist theorem Ny·quist the·o·rem (nī'kvist thē'ŏ-rĕm) That a frequency must be sampled at least twice to reproduce it reliably.
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Nyquist theorem

Nyquist Theorem

Nyquist theorem

Nyquist theorem

Ny·quist the·o·rem