Single-bit oversampled A/D conversion with exponential accuracy in the bit-rate
- 7 November 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 343-352
- https://doi.org/10.1109/dcc.2000.838174
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-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(1/r/sup 2/). Consequently the mean squared error of this scheme exhibits exponential decay in the bit rate.Keywords
This publication has 5 references indexed in Scilit:
- Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential typeMathematics of Computation, 1999
- Error-rate characteristics of oversampled analog-to-digital conversionIEEE Transactions on Information Theory, 1998
- Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimatesIEEE Transactions on Signal Processing, 1994
- A density criterion for frames of complex exponentials.The Michigan Mathematical Journal, 1991
- Spectra of Quantized SignalsBell System Technical Journal, 1948