Sobolev Duals in Frame Theory and Sigma-Delta Quantization
نویسندگان
چکیده
منابع مشابه
Sobolev Duals in Frame Theory and Sigma-delta Quantization
A new class of alternative dual frames is introduced in the setting of finite frames for Rd. These dual frames, called Sobolev duals, provide a high precision linear reconstruction procedure for Sigma-Delta (Σ∆) quantization of finite frames. The main result is summarized as follows: reconstruction with Sobolev duals enables stable rth order Sigma-Delta schemes to achieve deterministic approxim...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2009
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-009-9105-x