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Using estimation method to reduce sampling rate and increase precision

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Zerox100

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Dear all,
I have 12 bit fast ADC. my sampling rate is about 10 kHz. But i only need about 1 kHz sampling rate. Is it possible to use an estimation method to reduce sampling rate and increase precision (e.g 1kHz, 16 bit)?
 

Estimation

oversampling processing gain
**broken link removed**

Use lowpass filtering.
But You could win only 1.5-2 bit, not 4
 

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