An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes

Sigma-Delta modulation is a popular method for analog-to-digital conversion of bandlimited signals that employs coarse quantization coupled with oversampling. The standard mathematical model for the error analysis of the method measures the performance of a given scheme by the rate at which the associated reconstruction error decays as a function of the oversampling ratio . It was recently shown that exponential accuracy of the form O(2-r) can be achieved by appropriate one-bit Sigma-Delta modulation schemes. By general information-entropy arguments r must be less than

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Percy Deift, C. Sinan Güntürk, Felix Krahmer
• Keywords: Associated Reconstruction Error, CORR 2010, Education, Sigma-Delta Modulation, Standard Mathematical Model