Coifman, R. R.; Donoho, D. L. Translation-invariant de-noising. (English) Zbl 0866.94008 Antoniadis, Anestis (ed.) et al., Wavelets and statistics. Proceedings of the 15th French-Belgian meeting of statisticians, held at Villard de Lans, France, November 16-18, 1994. New York, NY: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 103, 125-150 (1995). Multiscale techniques for denoising signals and images have found widespread interest over the last few years. In particular, nonlinear thresholding in connection with suitable wavelet transforms have proved to be successful. The present paper is based on these methods, it discusses the effects of translation-invariant denoising, which can be achieved, e.g., by an averaging technique. This article is not a strict mathematical paper, it only sketches the underlying theory. However, many carefully chosen examples illustrate the properties of the described denoising techniques. The paper is written in a very readable style.For the entire collection see [Zbl 0824.00042]. Reviewer: P.Maaß (Potsdam) Cited in 1 ReviewCited in 103 Documents MSC: 94A12 Signal theory (characterization, reconstruction, filtering, etc.) Keywords:signal processing; denoising signals; wavelet transforms; translation-invariant denoising; averaging PDF BibTeX XML Cite \textit{R. R. Coifman} and \textit{D. L. Donoho}, in: Wavelets and statistics. Proceedings of the 15th French-Belgian meeting of statisticians, held at Villard de Lans, France, November 16-18, 1994. New York, NY: Springer-Verlag. 125--150 (1995; Zbl 0866.94008)