Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Octonion Fourier transforms for analysis and signal processing

2016/23/N/ST7/00131

Keywords:

octonion Fourier transform signal processing hypercomplex algebras

Descriptors:

  • ST7_7: Signal processing
  • ST1_9: Operator algebras and functional analysis
  • ST1_16: Numerical analysis

Panel:

ST7 - Systems and communication engineering: electronics, communication, optoelectronics

Host institution :

Politechnika Warszawska, Wydział Matematyki i Nauk Informacyjnych

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Łukasz Błaszczyk 

Number of co-investigators in the project: 2

Call: PRELUDIUM 12 - announced on 2016-09-15

Amount awarded: 63 600 PLN

Project start date (Y-m-d): 2017-07-26

Project end date (Y-m-d): 2019-07-25

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Oprogramowanie Mathematica (7 000 PLN)
  2. Komputer przenośny - notebook (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (1)
  • Articles in post-conference publications (2)
  1. A Generalization of the Octonion Fourier Transform to 3-D Octonion-Valued Signals - Properties and Possible Applications to 3-D LTI Partial Differential Systems
    Authors:
    Łukasz Błaszczyk
    Academic press:
    Multidimensional Systems and Signal Processing (rok: 2020, tom: 31, strony: 1227-1257), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11045-020-00706-3 - link to the publication
  1. Octonion Spectrum of 3D Octonion-Valued Signals - Properties and Possible Applications
    Authors:
    Łukasz Błaszczyk
    Conference:
    2018 26th European Signal Processing Conference (EUSIPCO) (rok: 2018, ), Wydawca: IEEE
    Data:
    konferencja 3-7 września 2018
    Status:
    Published
  2. Hypercomplex Fourier Transforms in the Analysis of Multidimensional Linear Time-Invariant Systems
    Authors:
    Łukasz Błaszczyk
    Conference:
    20th European Conference on Mathematics for Industry (rok: 2019, ), Wydawca: Springer Nature Switzerland AG
    Data:
    konferencja 18-22 czerwca 2018
    Status:
    Published

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