The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra. First of all, we show that the directional quaternion Fourier transform (QFT) uncertainty principle can be obtained using the component-wise QFT uncertainty principle. Based on this method, the directional QFT uncertainty principle using representation of polar coordinate form is easily derived. We derive a variation on uncertainty principle related to the QFT. We state that the CQWT of a quaternion function can be written in terms of the QFT and obtain a variation on uncertainty principle related to the CQWT. Finally, we apply the extended uncertainty principles and properties of the CQWT to establish logarithmic uncertainty principles related to generalized transform.
from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/2jkVkra
via IFTTT
Εγγραφή σε:
Σχόλια ανάρτησης (Atom)
Δημοφιλείς αναρτήσεις
-
Publication date: Available online 4 January 2018 Source: European Journal of Radiology Author(s): Peiyao Zhang, Jing Wang, Qin Xu, Zhen...
-
Related Articles Anatomic parameters of the sacral lamina for osteosynthesis in transverse sacral fractures. Surg Radiol Anat....
-
Background Hyperthyroidism is associated with increased thrombotic risk. As contact system activation through formation of neutrophil extrac...
-
Consulting to Finance: How to Network, Tell Your Story, Spin Your Resume, and Dominate Your Investment Banking and Private Equity Interviews...
-
Abstract Purpose Investigate in patients with metastatic and/or irresectable colorectal cancer treated with systemic treatment with cape...
-
Abstract Objectives (1) To illustrate and describe the main types of pancreatic surgery; (2) to discuss the normal findings after pancre...
-
In rural Kenya, traditional and faith healers provide an alternative pathway to health care, including mental health care. However, not much...
-
2016-12-10T02-17-59Z Source: Indo American Journal of Pharmaceutical Research R. Santosh Kumar*, T. Naga Satya Yagnesh. Solid dispersio...
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου