Title
Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames
Abstract
The K-level Sigma-Delta (/spl Sigma//spl Delta/) scheme with step size /spl delta/ is introduced as a technique for quantizing finite frame expansions for /spl Ropf//sup d/. Error estimates for various quantized frame expansions are derived, and, in particular, it is shown that /spl Sigma//spl Delta/ quantization of a unit-norm finite frame expansion in /spl Ropf//sup d/ achieves approximation err...
Year
DOI
Venue
2006
10.1109/TIT.2006.872849
IEEE Transactions on Information Theory
Keywords
Field
DocType
Delta-sigma modulation,Quantization,Phase change materials,Pulse modulation,Dictionaries,Signal processing,Mathematics,Hilbert space,Signal processing algorithms,Upper bound
Discrete mathematics,Pulse-code modulation,Combinatorics,Mean squared error,Approximation theory,Delta-sigma modulation,Quantization (physics),Sigma,Quantization (signal processing),Mathematics,Approximation error
Journal
Volume
Issue
ISSN
52
5
0018-9448
Citations 
PageRank 
References 
35
3.46
16
Authors
3
Name
Order
Citations
PageRank
John J. Benedetto113216.90
A. M. Powell2353.46
O. Yilmaz31489.36