shanmei
Advanced Member level 1
If a signal m(t) has a maximum frequency of 1KHz, and a 10 bit ADC with 10K samples/second rate to sample the signal m(t).
According to the sampling theory, if the sample rate is larger than twice of the maximum frequency of the signal m(t), then the signal m(t) can be recovered. The "recovered" means that the signal m(t) is fully recovered or fully reconstrued.
However, the ADC resolution is 10 bit, and the reconstructed signal from the ADC to recover the original signal m(t) then has an only 10-bit resolution even with very high sampling rate( > 2*maxium frequency of m(t)) . The higher solution informtion 11 bit , 12bit... are lost.
This is conflict with the sample theory that m(t) can be recovered without losing any information.
I am confused. Can you please help? Thanks.
According to the sampling theory, if the sample rate is larger than twice of the maximum frequency of the signal m(t), then the signal m(t) can be recovered. The "recovered" means that the signal m(t) is fully recovered or fully reconstrued.
However, the ADC resolution is 10 bit, and the reconstructed signal from the ADC to recover the original signal m(t) then has an only 10-bit resolution even with very high sampling rate( > 2*maxium frequency of m(t)) . The higher solution informtion 11 bit , 12bit... are lost.
This is conflict with the sample theory that m(t) can be recovered without losing any information.
I am confused. Can you please help? Thanks.
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