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The S/H (Sample & Hold) is a separate function that is part of the inputs of many (but not all) ADCs. The S/H captures a short slice of the analog input signal and holds it as a DC level during the time it takes the AD to convert the analog sample to a digital word.
The S/H function certainly can be used independently of an ADC and there are specialized IC chips available for this, such as the LF398.
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