Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950532495> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2950532495 abstract "A central problem in signal processing and communications is to design signals that are compact both in time and frequency. Heisenberg's principle states that a given function cannot be arbitrarily compact both in time and frequency, defining an uncertainty lower bound. Taking the variance as a measure of localization in time and frequency, Gaussian functions reach this bound for continuous-time signals. For sequences, however, this is not true; it is known that Heisenberg's bound is generally unachievable. For a chosen frequency variance, we formulate the search for compact as an exactly and efficiently solved convex optimization problem, thus providing a sharp principle for sequences. Interestingly, the optimization formulation also reveals that maximally compact sequences are derived from Mathieu's harmonic cosine function of order zero. We further provide rational asymptotic expansions of this sharp bound. We use the derived bounds as a benchmark to compare the compactness of well-known window functions with that of the optimal Mathieu's functions." @default.
- W2950532495 created "2019-06-27" @default.
- W2950532495 creator A5007820871 @default.
- W2950532495 creator A5016717953 @default.
- W2950532495 creator A5049415924 @default.
- W2950532495 date "2013-02-08" @default.
- W2950532495 modified "2023-10-01" @default.
- W2950532495 title "Sequences with Minimal Time-Frequency Uncertainty" @default.
- W2950532495 cites W2164372753 @default.
- W2950532495 hasPublicationYear "2013" @default.
- W2950532495 type Work @default.
- W2950532495 sameAs 2950532495 @default.
- W2950532495 citedByCount "1" @default.
- W2950532495 countsByYear W29505324952014 @default.
- W2950532495 crossrefType "posted-content" @default.
- W2950532495 hasAuthorship W2950532495A5007820871 @default.
- W2950532495 hasAuthorship W2950532495A5016717953 @default.
- W2950532495 hasAuthorship W2950532495A5049415924 @default.
- W2950532495 hasConcept C112680207 @default.
- W2950532495 hasConcept C121332964 @default.
- W2950532495 hasConcept C126255220 @default.
- W2950532495 hasConcept C127934551 @default.
- W2950532495 hasConcept C134306372 @default.
- W2950532495 hasConcept C14036430 @default.
- W2950532495 hasConcept C157972887 @default.
- W2950532495 hasConcept C163716315 @default.
- W2950532495 hasConcept C178009071 @default.
- W2950532495 hasConcept C181543814 @default.
- W2950532495 hasConcept C18648836 @default.
- W2950532495 hasConcept C2524010 @default.
- W2950532495 hasConcept C2780009758 @default.
- W2950532495 hasConcept C28826006 @default.
- W2950532495 hasConcept C33923547 @default.
- W2950532495 hasConcept C41008148 @default.
- W2950532495 hasConcept C62520636 @default.
- W2950532495 hasConcept C77088390 @default.
- W2950532495 hasConcept C77553402 @default.
- W2950532495 hasConcept C78458016 @default.
- W2950532495 hasConcept C84114770 @default.
- W2950532495 hasConcept C86803240 @default.
- W2950532495 hasConceptScore W2950532495C112680207 @default.
- W2950532495 hasConceptScore W2950532495C121332964 @default.
- W2950532495 hasConceptScore W2950532495C126255220 @default.
- W2950532495 hasConceptScore W2950532495C127934551 @default.
- W2950532495 hasConceptScore W2950532495C134306372 @default.
- W2950532495 hasConceptScore W2950532495C14036430 @default.
- W2950532495 hasConceptScore W2950532495C157972887 @default.
- W2950532495 hasConceptScore W2950532495C163716315 @default.
- W2950532495 hasConceptScore W2950532495C178009071 @default.
- W2950532495 hasConceptScore W2950532495C181543814 @default.
- W2950532495 hasConceptScore W2950532495C18648836 @default.
- W2950532495 hasConceptScore W2950532495C2524010 @default.
- W2950532495 hasConceptScore W2950532495C2780009758 @default.
- W2950532495 hasConceptScore W2950532495C28826006 @default.
- W2950532495 hasConceptScore W2950532495C33923547 @default.
- W2950532495 hasConceptScore W2950532495C41008148 @default.
- W2950532495 hasConceptScore W2950532495C62520636 @default.
- W2950532495 hasConceptScore W2950532495C77088390 @default.
- W2950532495 hasConceptScore W2950532495C77553402 @default.
- W2950532495 hasConceptScore W2950532495C78458016 @default.
- W2950532495 hasConceptScore W2950532495C84114770 @default.
- W2950532495 hasConceptScore W2950532495C86803240 @default.
- W2950532495 hasLocation W29505324951 @default.
- W2950532495 hasOpenAccess W2950532495 @default.
- W2950532495 hasPrimaryLocation W29505324951 @default.
- W2950532495 hasRelatedWork W2088079871 @default.
- W2950532495 hasRelatedWork W2150697577 @default.
- W2950532495 hasRelatedWork W2340722762 @default.
- W2950532495 hasRelatedWork W2737000247 @default.
- W2950532495 hasRelatedWork W2782090365 @default.
- W2950532495 hasRelatedWork W2788216258 @default.
- W2950532495 hasRelatedWork W2949660980 @default.
- W2950532495 hasRelatedWork W2951778249 @default.
- W2950532495 hasRelatedWork W2963131734 @default.
- W2950532495 hasRelatedWork W2982157847 @default.
- W2950532495 hasRelatedWork W3011294244 @default.
- W2950532495 hasRelatedWork W3046081500 @default.
- W2950532495 hasRelatedWork W3094857862 @default.
- W2950532495 hasRelatedWork W3097101327 @default.
- W2950532495 hasRelatedWork W3100556672 @default.
- W2950532495 hasRelatedWork W3103345129 @default.
- W2950532495 hasRelatedWork W3103627244 @default.
- W2950532495 hasRelatedWork W3109113436 @default.
- W2950532495 hasRelatedWork W3111676854 @default.
- W2950532495 hasRelatedWork W3167594195 @default.
- W2950532495 isParatext "false" @default.
- W2950532495 isRetracted "false" @default.
- W2950532495 magId "2950532495" @default.
- W2950532495 workType "article" @default.