Error-rate characteristics of oversampled analog-to-digital conversion

Accuracy of simple analog-to-digital conversion depends on both resolution of discretization in amplitude and resolution of discretiza- tion in time. For implementation convenience, high conversion accuracy is attained by refining the discretization in time using oversampling. It is commonly believed that oversampling adversely impacts rate-distortion properties of the conversion, since the bit rate, 􏰟, increases linearly with oversampling, resulting in a slow error decay in the bit rate, on the order of 􏰠 􏰄􏰖􏰇􏰟􏰅. We demonstrate that the information obtained in the process of oversampled analog-to-digital conversion can easily be encoded in a manner which requires only a logarithmic increase of the bit rate with redundancy, achieving an exponential error decay in the bit rate.


Published in:
IEEE Transactions on Information Theory, 44, 5, 1961-1964
Year:
1998
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