On Uncertainty Principle for Quaternionic Linear Canonical Transform

By Kit Ian Kou, Jianyu Ou, João Pedro Morais. 2013

114 citations recorded by the source corpus.

We generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we establish an uncertainty principle for the QLCT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains. It is shown that only a 2D Gaussian signal minimizes the uncertainty.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/70b7d26ad09e5856d605b0498f9759064771fdae

How researchers see this paper

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

In Applied Mathematics

1. Ryuichi Ashino
2. Mawardi Bahri

In Astronomy and Astrophysics

1. Ryuichi Ashino
2. Mawardi Bahri

In Computer Vision and Pattern Recognition

1. Ryuichi Ashino
2. Mawardi Bahri

Citations in the corpus

• A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform (2016, methodology): “The generalization of the above uncertainty principle to the the QLCT domain is given by the following theorem (for more detailed information, see [8]).”