Lattice quantization error for redundant representations
نویسندگان
چکیده
منابع مشابه
Lattice Quantization Error for Redundant Representations
Redundant systems such as frames are often used to represent a signal for error correction, denoising and general robustness. In the digital domain quantization needs to be performed. Given the redundancy, the distribution of quantization errors can be rather complex. In this paper we study quantization error for a signal X in R represented by a frame using a lattice quantizer. We completely ch...
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Shrinkage is a well known and appealing denoising technique. The use of shrinkage is known to be optimal for Gaussian white noise, provided that the sparsity on the signal’s representation is enforced using a unitary transform. Still, shrinkage is also practiced successfully with non-unitary, and even redundant representations. In this paper we shed some light on this behavior. We show that sim...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2009
ISSN: 1063-5203
DOI: 10.1016/j.acha.2009.03.001