Octonion Fourier transforms for analysis and signal processing
2016/23/N/ST7/00131
Keywords
Descriptors
- ST7_7: Przetwarzanie sygnałów
- ST1_9: Algebry operatorowe i analiza funkcjonalna
- ST1_16: Analiza numeryczna i obliczenia naukowe
Panel
ST7 – Systems and communication engineering: electronics, communication, optoelectronics
Host institution
Politechnika Warszawska, Wydział Matematyki i Nauk Informacyjnych
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 12 – announced on 2016-09-15
- Amount awarded
- 63 600 PLN
- Project start date
- 2017-07-26
- Project end date
- 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]
- Komputer przenośny - notebook. Cost: 5 000 PLN
- Oprogramowanie Mathematica. Cost: 7 000 PLN
Information in the final report
Publication in academic press/journals (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 (year: 2020, volume: 31, pages: 1227-1257), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11045-020-00706-3 – link to the publication
Articles in post-conference publications (2)
-
Hypercomplex Fourier Transforms in the Analysis of Multidimensional Linear Time-Invariant Systems
- Authors:
- Łukasz Błaszczyk
- Conference:
- 20th European Conference on Mathematics for Industry (year: 2019, pages: 575--581), Publisher: Springer Nature Switzerland AG
- Date:
- conference 18-22 czerwca 2018
- Status:
- Published
-
Octonion Spectrum of 3D Octonion-Valued Signals - Properties and Possible Applications
- Authors:
- Łukasz Błaszczyk
- Conference:
- 2018 26th European Signal Processing Conference (EUSIPCO) (year: 2018, pages: 509-513), Publisher: IEEE
- Date:
- conference 3-7 września 2018
- Status:
- Published