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Publications [#287154] of Ingrid Daubechies

Papers Published

  1. Cvetkovic, Z; Daubechies, I, Single-bit oversampled A/D conversion with exponential accuracy in the bit-rate, Proceedings of the Data Compression Conference (2000), pp. 343-352, ISSN 1068-0314
    (last updated on 2017/12/10)

    Abstract:
    We present a scheme for simple oversampled analog-to-digital conversion, with single bit quantization and exponential error decay in the bit-rate. The scheme is based on recording positions of zero-crossings 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 band-limited 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 bit-rate.

 

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Mathematics Department
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