Second-order Sigma–Delta (ΣΔ) quantization of finite frame expansions☆

@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}
}
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
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