Consiglio Nazionale delle Ricerche

Tipo di prodottoArticolo in rivista
TitoloInhomogeneous Poisson Sampling of Finite-Energy Signals With Uncertainties in R-d
Anno di pubblicazione2016
FormatoCartaceo
Autore/iZabini, Flavio; Conti, Andrea
Affiliazioni autoriUniv Bologna; Univ Bologna; IEIIT CNR; Univ Ferrara
Autori CNR e affiliazioni
  • ANDREA CONTI
  • FLAVIO ZABINI
Lingua/e
  • inglese
AbstractSpatiotemporal signal reconstruction from samples randomly gathered in a multidimensional space with uncertainty is a crucial problem for a variety of applications. Such a problem generalizes the reconstruction of a deterministic signal and that of a stationary random process in one dimension, which was first addressed by Whittaker, Kotelnikov, and Shannon. In this work we analyze multidimensional random sampling with uncertainties jointly accounting for signal properties (signal spectrum and spatial correlation) and for sampling properties (inhomogeneous sample spatial distribution, sample availability, and non-ideal knowledge of sample positions). The reconstructed signal spectrum and the signal reconstruction accuracy are derived as a function of signal and sampling properties. It is shown that some of these properties expand the signal spectrum while others modify the spectrum without expansion. The signal reconstruction accuracy is first determined in a general case and then specialized for cases of practical interests. The optimal interpolator function is derived and asymptotic results are obtained to show the impact of sampling non-idealities. The analysis is corroborated by verifying that previously known results can be obtained as special cases of the general one and by means of a case study accounting for various settings of signal and sample properties.
Lingua abstractinglese
Altro abstract-
Lingua altro abstract-
Pagine da4679
Pagine a4694
Pagine totali16
RivistaIEEE transactions on signal processing
Attiva dal 1991
Editore: Institute of Electrical and Electronics Engineers, - New York, NY
Paese di pubblicazione: Stati Uniti d'America
Lingua: inglese
ISSN: 1053-587X
Titolo chiave: IEEE transactions on signal processing
Titolo proprio: IEEE transactions on signal processing
Titolo abbreviato: IEEE trans. signal process.
Titoli alternativi:
  • Institute of Electrical and Electronics Engineers transactions on signal processing
  • Transactions on signal processing
  • Signal processing
Numero volume della rivista64
Fascicolo della rivista18
DOI10.1109/TSP.2016.2552499
Verificato da refereeSì: Internazionale
Stato della pubblicazionePublished version
Indicizzazione (in banche dati controllate)
  • ISI Web of Science (WOS) (Codice:000382168500003)
Parole chiaveMultidimensional random sampling, signal reconstruction, inhomogeneous Poisson point process, crowdsourcing, sampling uncertainty
Link (URL, URI)-
Titolo parallelo-
Data di accettazione22/03/2016
Note/Altre informazioni-
Strutture CNR
  • IEIIT — IEIIT - Sede secondaria di Bologna
Moduli CNR-
Progetti Europei-
Allegati
Inhomogeneous Poisson Sampling of Finite-Energy Signals With Uncertainties in R-d
Descrizione: Spatiotemporal signal reconstruction from samples randomly gathered in a multidimensional space with uncertainty.
Tipo documento: application/pdf