FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W72543818> ?p ?o ?g. }

• W72543818 abstract "In the past several years there has been a surge of research investigating various aspects of sparse representations and compressed sensing. Most of this work has focused on the finite-dimensional setting in which the goal is to decompose a finite-length vector into a given finite dictionary. Underlying many of these results is the conceptual notion of an uncertainty principle: a signal cannot be sparsely represented in two different bases. Here, we extend these ideas and results to the analog, infinite-dimensional setting by considering signals that lie in a finitelygenerated shift-invariant (SI) space. This class of signals is rich enough to include many interesting special cases such as multiband signals and splines. By adapting the notion of coherence defined for finite dictionaries to infinite SI representations, we develop an uncertainty principle similar in spirit to its finite counterpart. We demonstrate tightness of our bound by considering a bandlimited low-pass comb that achieves the uncertainty principle. Building upon these results and similar work in the finite setting, we show how to find a sparse decomposition in an overcomplete dictionary by solving a convex optimization problem. The distinguishing feature of our approach is the fact that even though the problem is defined over an infinite domain with infinitely many variables and constraints, under certain conditions on the dictionary spectrum our algorithm can find the sparsest representation by solving a finite dimensional problem." @default.
• W72543818 created "2016-06-24" @default.
• W72543818 creator A5005913897 @default.
• W72543818 date "2008-09-22" @default.
• W72543818 modified "2023-09-26" @default.
• W72543818 title "Uncertainty Relations for Analog Signals" @default.
• W72543818 cites W1489917940 @default.
• W72543818 cites W1567375197 @default.
• W72543818 cites W1967126940 @default.
• W72543818 cites W1974774078 @default.
• W72543818 cites W1986931325 @default.
• W72543818 cites W2008844048 @default.
• W72543818 cites W2048247182 @default.
• W72543818 cites W2057503509 @default.
• W72543818 cites W2067111814 @default.
• W72543818 cites W2074054045 @default.
• W72543818 cites W2099641086 @default.
• W72543818 cites W2114129195 @default.
• W72543818 cites W2115090644 @default.
• W72543818 cites W2116148865 @default.
• W72543818 cites W2119337797 @default.
• W72543818 cites W2125455772 @default.
• W72543818 cites W2136235822 @default.
• W72543818 cites W2145096794 @default.
• W72543818 cites W2151693816 @default.
• W72543818 cites W2153609494 @default.
• W72543818 cites W2154332973 @default.
• W72543818 cites W2160209843 @default.
• W72543818 cites W2160396672 @default.
• W72543818 cites W2162409952 @default.
• W72543818 cites W2164696938 @default.
• W72543818 cites W2167839759 @default.
• W72543818 cites W2296616510 @default.
• W72543818 cites W3161439748 @default.
• W72543818 cites W641232363 @default.
• W72543818 cites W8251247 @default.
• W72543818 hasPublicationYear "2008" @default.
• W72543818 type Work @default.
• W72543818 sameAs 72543818 @default.
• W72543818 citedByCount "5" @default.
• W72543818 crossrefType "posted-content" @default.
• W72543818 hasAuthorship W72543818A5005913897 @default.
• W72543818 hasConcept C102519508 @default.
• W72543818 hasConcept C105795698 @default.
• W72543818 hasConcept C112680207 @default.
• W72543818 hasConcept C11413529 @default.
• W72543818 hasConcept C121332964 @default.
• W72543818 hasConcept C126255220 @default.
• W72543818 hasConcept C129997835 @default.
• W72543818 hasConcept C134306372 @default.
• W72543818 hasConcept C157972887 @default.
• W72543818 hasConcept C162392398 @default.
• W72543818 hasConcept C181543814 @default.
• W72543818 hasConcept C2524010 @default.
• W72543818 hasConcept C2781181686 @default.
• W72543818 hasConcept C28826006 @default.
• W72543818 hasConcept C33923547 @default.
• W72543818 hasConcept C41008148 @default.
• W72543818 hasConcept C62520636 @default.
• W72543818 hasConcept C80444323 @default.
• W72543818 hasConcept C84114770 @default.
• W72543818 hasConceptScore W72543818C102519508 @default.
• W72543818 hasConceptScore W72543818C105795698 @default.
• W72543818 hasConceptScore W72543818C112680207 @default.
• W72543818 hasConceptScore W72543818C11413529 @default.
• W72543818 hasConceptScore W72543818C121332964 @default.
• W72543818 hasConceptScore W72543818C126255220 @default.
• W72543818 hasConceptScore W72543818C129997835 @default.
• W72543818 hasConceptScore W72543818C134306372 @default.
• W72543818 hasConceptScore W72543818C157972887 @default.
• W72543818 hasConceptScore W72543818C162392398 @default.
• W72543818 hasConceptScore W72543818C181543814 @default.
• W72543818 hasConceptScore W72543818C2524010 @default.
• W72543818 hasConceptScore W72543818C2781181686 @default.
• W72543818 hasConceptScore W72543818C28826006 @default.
• W72543818 hasConceptScore W72543818C33923547 @default.
• W72543818 hasConceptScore W72543818C41008148 @default.
• W72543818 hasConceptScore W72543818C62520636 @default.
• W72543818 hasConceptScore W72543818C80444323 @default.
• W72543818 hasConceptScore W72543818C84114770 @default.
• W72543818 hasLocation W725438181 @default.
• W72543818 hasOpenAccess W72543818 @default.
• W72543818 hasPrimaryLocation W725438181 @default.
• W72543818 hasRelatedWork W1567375197 @default.
• W72543818 hasRelatedWork W1967126940 @default.
• W72543818 hasRelatedWork W2004421506 @default.
• W72543818 hasRelatedWork W2011604943 @default.
• W72543818 hasRelatedWork W2049746373 @default.
• W72543818 hasRelatedWork W2096504426 @default.
• W72543818 hasRelatedWork W2098751903 @default.
• W72543818 hasRelatedWork W2103300762 @default.
• W72543818 hasRelatedWork W2114129195 @default.
• W72543818 hasRelatedWork W2123629701 @default.
• W72543818 hasRelatedWork W2143168132 @default.
• W72543818 hasRelatedWork W2145096794 @default.
• W72543818 hasRelatedWork W2147276092 @default.
• W72543818 hasRelatedWork W2153609494 @default.
• W72543818 hasRelatedWork W2159268085 @default.
• W72543818 hasRelatedWork W2164696938 @default.
• W72543818 hasRelatedWork W2296616510 @default.

• next