2 citations · 2 across the 1 of their papers we have counts for
4 papers
Theoretical and numerical considerations on the polar (exponential) form of octonions and elements of higher-order Cayley-Dickson algebras
Łukasz Błaszczyk
The article is devoted to the issue of the polar form of octonions. This is a~continuation of the works initiated by Hahn and Snopek in their articles from 2011. The results presen…
A Generalization of the Octonion Fourier Transform to 3-D Octonion-Valued Signals -- Properties and Possible Applications to 3-D LTI Partial Differential Systems
Łukasz Błaszczyk
The paper is devoted to the development of the octonion Fourier transform (OFT) theory initiated in 2011 in articles by Hahn and Snopek. It is also a continuation and generalizatio…
Compressed sensing in the quaternion algebra
Agnieszka Badeńska, Łukasz Błaszczyk
The article concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct - by -norm minimization - a sparse quaternio…
Compressed sensing for real measurements of quaternion signals
Agnieszka Badenska, Łukasz Błaszczyk
The article concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct - by norm minimization - a sparse quaternio…