Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing

By N. Le Bihan, Jérôme I. Mars. Signal Processing, 2004

406 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Signal Processing

View Paper: https://www.semanticscholar.org/paper/bed052b8af074124f9311cefefeec3881b2bcce3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Clive Cheong Took
2. Danilo P. Mandic

In Computational Theory and Mathematics

1. Clive Cheong Took
2. Danilo P. Mandic

In Signal Processing

1. Clive Cheong Took
2. Danilo P. Mandic

Citations in the corpus

• The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes (2009, methodology): “Le Bihan et al. used quaternions in watermarking [21]; they also proposed quaternion algorithms for spectrum estimation, such as a fast complexified quaternion Fourier transform [22], quaternion singular value decomposition (QSVD) and MUSIC lgorithm to process polarized waves [23], [24].”
• Decay properties for functions of matrices over $C^*$-algebras (2013, neutral): “, [46,62] and the references therein, as well as [45] for a recent application of quaternion matrices to signal processing.”
• A real quaternion matrix equation with applications (2013, neutral): “, see [1,2,6,10,16,18,20,33].”