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Metrical theory for small linear forms and applications to interference alignment

Hussain, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/978-3-030-36568-4_24
  3. Publisher: Springer , 2020
  4. Abstract:
  5. In this paper, the metric theory of Diophantine approximation associated with mixed type small linear forms is investigated. We prove Khintchine–Groshev type theorems for both the real and complex number systems. The motivation for these metrical results comes from their applications in signal processing. One such application is discussed explicitly. © Springer Nature Switzerland AG 2020
  6. Keywords:
  7. Approximation theory ; Numbering systems ; Complex number ; Diophantine approximation ; Interference alignment ; Metrical theory ; Mixed type ; Signal processing
  8. Source: Jonathan Borwein Commemorative Conference, JBCC 2017, 25 September 2017 through 29 September 2017 ; Volume 313 , 2020 , Pages 377-393
  9. URL: https://link.springer.com/chapter/10.1007/978-3-030-36568-4_24