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@inproceedings{Benedetto2006SecondorderS, title={Second-order Sigma–Delta (ΣΔ) quantization of finite frame expansions☆}, author={John J. Benedetto and Alexander M. Powell and Ozgur Nihal Yilmaz}, year={2006} }

- Published 2006
DOI:10.1016/j.acha.2005.04.003

The second order Sigma-Delta (Σ∆) scheme with linear quantization rule is analyzed for quantizing finite unit-norm tight frame expansions for Rd. Approximation error estimates are derived, and it is shown that for certain choices of frames the quantization error is of order 1/N2, where N is the frame size. However, in contrast to the setting of bandlimited functions there are many situations where the second order scheme only gives approximation error of order 1/N . For example, this is the… CONTINUE READING