Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type
Mathematics of Computation
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
Interpolation of Bandlimited Functions from Quantized Irregular Samples
DCC '02 Proceedings of the Data Compression Conference
On distributed sampling of smooth non-bandlimited fields
Proceedings of the 3rd international symposium on Information processing in sensor networks
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
Stochastic binary sensor networks for noisy environments
International Journal of 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
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
The ill-posedness of the sampling problem and regularized sampling algorithm
Digital Signal Processing
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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. Consequently, the mean squared error of this scheme exhibits exponential decay in the bit-rate.