On the representation of band limited functions using finitely many bits
Journal of Complexity
Single-Bit Oversampled A/D Conversion with Exponential Accuracy in the Bit-Rate
DCC '00 Proceedings of the Conference on Data Compression
Interpolation of Bandlimited Functions from Quantized Irregular Samples
DCC '02 Proceedings of the Data Compression Conference
Highly Digital, Low-Cost Design of Statistic Signal Acquisition in SoCs
Proceedings of the conference on Design, automation and test in Europe - Volume 3
Effects of A-D conversion nonidealities on distributed sampling in dense sensor networks
Proceedings of the 5th international conference on Information processing in sensor networks
Complete characterization of stable bandlimited systems under quantization and thresholding
IEEE Transactions on Signal Processing
Behavior of the quantization operator for bandlimited, nonoversampled signals
IEEE Transactions on Information Theory
Entropy of highly correlated quantized data
IEEE Transactions on Information Theory
| Hi-index | 754.96 |
The accuracy of oversampled analog-to-digital (A/D) conversion, the dependence of accuracy on the sampling interval τ and on the bit rate R are characteristics fundamental to A/D conversion but not completely understood. These characteristics are studied for oversampled A/D conversion of band-limited signals in L2 (R). We show that the digital sequence obtained in the process of oversampled A/D conversion describes the corresponding analog signal with an error which tends to zero as τ2 in energy, provided that the quantization threshold crossings of the signal constitute a sequence of stable sampling in the respective space of band-limited functions. Further, we show that the sequence of quantized samples can be represented in a manner which requires only a logarithmic increase in the bit rate with the sampling frequency, R=O(|logτ|), and hence that the error of oversampled A/D conversion actually exhibits an exponential decay in the bit rate as the sampling interval tends to zero