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Musical Instrument Digital Interface, - Hol.gr

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Different Quantization and Sampling Rates<br />

In dia<strong>gr</strong>am (A) and (B) the sampling rate is the same, but the quantization resolution is better in dia<strong>gr</strong>am<br />

(B). In dia<strong>gr</strong>am (C) & (D), the sampling rate has been doubled and the bit resolution has been increased in<br />

dia<strong>gr</strong>am (D). What a dramatic difference the sampling rate and bit resolution can make on recreating an<br />

acoustic waveform.<br />

The Nyquist Theorem determines that the bandwidth of any digital sampling length will always be onehalf<br />

of the sampling rate. This means that a sample taken at a rate of 44k would have 22k (22,000)<br />

pictures or snap shots of the waveform in one second of time. A higher rate will have more samples per<br />

second and will also take up more computer memory. The Nyquist Frequency is the frequency of the<br />

highest component of a sound and the Nyquist Rate is twice the Nyquist Frequency.<br />

More computer memory is also used when the bit resolution is higher (16 bits to represent a number<br />

verses 8 bits). Computer memory and the content that is being sampled will determine the sampling rate<br />

and bit resolution to use. For example, sounds that do not have a high frequency content could be sampled<br />

at a lower rate and still imitate most of the same fidelity as the original sound.<br />

It is important that the signal that is being sampled does not have frequencies above the Nyquist<br />

Frequency. Every time that a sample is made, there is also duplicates of the signal that are also created that<br />

are called Folding Components.

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