Math @ Duke

Publications [#287154] of Ingrid Daubechies
Papers Published
 Cvetkovic, Z; Daubechies, I, Singlebit oversampled A/D conversion with exponential accuracy in the bitrate,
Data Compression Conference Proceedings
(January, 2000),
pp. 343352, IEEE Comput. Soc, ISSN 10680314 [doi]
(last updated on 2019/08/25)
Abstract: We present a scheme for simple oversampled analogtodigital conversion, with single bit quantization and exponential error decay in the bitrate. The scheme is based on recording positions of zerocrossings of the input signal added to a deterministic dither function. This information can be represented in a manner which requires only logarithmic increase of the bit rate with the oversampling factor, r. The input bandlimited signal can be reconstructed from this information locally, and with a mean squared error which is inversely proportional to the square of the oversampling factor. MSE = O (l/r 2). Consequently, the mean squared error of this scheme exhibits exponential decay in the bitrate.


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