An uncertainty principle for quaternion Fourier transform

✍ Scribed by Mawardi Bahri; Eckhard S.M. Hitzer; Akihisa Hayashi; Ryuichi Ashino

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 736 KB
• Volume: 56
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.05.032

✦ Synopsis

We review the quaternionic Fourier transform (QFT). Using the properties of the QFT we establish an uncertainty principle for the right-sided QFT. 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 Gaussian quaternion signal minimizes the uncertainty.