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Results tagged with compressed-sensing
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user 11260
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Usage and origin of the terms dictionary and atom in compressed sensing
The terms "dictionary" and "atoms" predate compressed sensing, they are more generally used in signal processing. An example is the Gabor atom for wavelets. For an early use of "dictionary" and "atom" …
- 188k
2
votes
Two theorems about incoherence
Statement 1 is theorem 2.3 in Grassmannian Frames with Applications to Coding and Communication (2003):
$${\rm max}_{k\neq l}|\langle f_k,f_l\rangle|\geq \sqrt{\frac{N-d}{d(N-1)}}$$
for any set of $N …
- 188k
5
votes
Open problems in compressed sensing
A relatively recent (2012) overview of open problems and challenges in compressive sensing has been written by Thomas Strohmer. A somewhat older (2007) listing by Terence Tao is still timely:
A …
- 188k