Sparse Approximations for Quaternionic Signals
نویسندگان
چکیده
In this paper, we introduce a new processing procedure for quaternionic signals through consideration of the well-known orthogonal matching pursuit (OMP), which provides sparse approximation. Due to quaternions noncommutativity, two quaternionic extensions are presented: the right-multiplication quaternionic OMP, that can be used to process right-multiplication linear combinations of quaternionic signals, and the left-multiplication quaternionic OMP, that can be used to process left-multiplication linear combinations. As validation, these quaternionic OMP are applied to simulated data. Deconvolution is carried out and presented here with a new spikegram that is designed for visualization of quaternionic coefficients, and finally these are compared to multivariate OMP.
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