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Results tagged with signal-analysis
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user 9652
12
votes
Origin of the term "sinc" function
The Wikipedia page for the Shannon-Whittaker reconstruction formula states that Whittaker used the term "cardinal series" for the reconstruction formula
$$
f(t) = \sum_{n\in\mathbb{N}} f(n)\mathrm{sin …
- 12.7k
2
votes
Mathematical Techniques to Reduce the Width of a Gaussian Peak
There are numerous methods in the context of "inverse problems". Assuming that the Gaussian peaks are generated by a convolution of a "spike train" (i.e. a sum of positive Diracs peaks) with a Gaussia …
- 12.7k
4
votes
When is a mapping the proximity operator of some convex function?
The paper
On Decomposing the Proximal Map, Yaoliang Yu, NIPS, 2013
states that in
Jean J. Moreau. Proximité et dualtité dans un espace Hilbertien.
Bulletin de la Société Mathématique de F …
- 12.7k