Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.25104 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917529212944384 |
|---|---|
| author | Cui, Ke Shi, Haipan Tang, Xiaomin |
| author_facet | Cui, Ke Shi, Haipan Tang, Xiaomin |
| contents | In this paper, we mainly establish the uncertainty principle (UP) for a function and its quaternion Fractional Fourier transform (QFrFT), as well as the UP for two QFrFTs. Using the polar representation of quaternion-valued signals, we give the UP for QFrFT in both the spatial and directional domains, providing a more precise condition for equality, example is given to verify the results. Furthermore, we extend the time-frequency UP to a frequency-frequency setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25104 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Uncertainty Principles of Quaternion Fractional Fourier Transform Cui, Ke Shi, Haipan Tang, Xiaomin Complex Variables Information Theory In this paper, we mainly establish the uncertainty principle (UP) for a function and its quaternion Fractional Fourier transform (QFrFT), as well as the UP for two QFrFTs. Using the polar representation of quaternion-valued signals, we give the UP for QFrFT in both the spatial and directional domains, providing a more precise condition for equality, example is given to verify the results. Furthermore, we extend the time-frequency UP to a frequency-frequency setting. |
| title | The Uncertainty Principles of Quaternion Fractional Fourier Transform |
| topic | Complex Variables Information Theory |
| url | https://arxiv.org/abs/2605.25104 |