Ten lectures on wavelets
Single-Bit Oversampled A/D Conversion with Exponential Accuracy in the Bit-Rate
DCC '00 Proceedings of the Conference on Data Compression
On distributed sampling of smooth non-bandlimited fields
Proceedings of the 3rd international symposium on Information processing in sensor networks
Distributed sampling for dense sensor networks: a "Bit-conservation principle"
IPSN'03 Proceedings of the 2nd international conference on Information processing in sensor networks
A theory of nonsubtractive dither
IEEE Transactions on Signal Processing
Error-rate characteristics of oversampled analog-to-digital conversion
IEEE Transactions on Information Theory
On simple oversampled A/D conversion in L2(R)
IEEE Transactions on Information Theory
Resilience properties of redundant expansions under additive noise and quantization
IEEE Transactions on Information Theory
Analog-to-digital converter survey and analysis
IEEE Journal on Selected Areas in Communications
Signal reconstruction errors in jittered sampling
IEEE Transactions on Signal Processing
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We address the effect of the errors occurring at the analog-to-digital converter (ADC), from quantization noise, circuit noise, aperture uncertainty and comparator ambiguity, on the accuracy of sensor field reconstruction. We focus on the oversampling of bandlimited sensor fields in a distributed processing environment. It has previously been shown that Pulse Code Modulation (PCM style sampling fails to decrease the quantization error above some finite sampling rate. We show that the dither-based scheme, developed to decrease the quantization error, fails to decrease random errors associated with circuit noise, aperture uncertainty and comparator ambiguity. We propose an advanced dither based sampling scheme with the goal of reducing both kinds of errors by increasing the density of the sensor nodes. It is based on distributing the task of improving the quantization error and random error among the nodes. The error of the scheme is shown to be O(1 over r½) for oversampling rate r. The maximum energy consumption per node is O(log(r)). Finally, the bit rate of the scheme is O(1 over r½log(r)) and it offers robustness to node failures in terms of a graceful degradation of reconstruction error.