3 papers
math.GM2026
The uncertainty principles of random signals related to the linear canonical transform
Jia-Yin Peng, Bing-Zhao Li
In this paper, we investigate uncertainty principles for random signals associated with the linear canonical transform (LCT). First, the LCT of random signals is formulated on the…
math.GM2026
Graph Fractional Fourier Transform: A Unified and Efficient Sampling Theory
Yu Zhang, Jia-Yin Peng, Bing-Zhao Li
The graph Fourier transform (GFT) is a fundamental tool in graph signal processing and has recently been extended to the graph fractional Fourier transform (GFRFT). Existing sampli…
math.GM2026
Manifold Fractional Harmonic Transform for 3D Point Clouds
Jiamian Li, Bing-Zhao Li
Point clouds can be regarded as discrete samples of smooth manifolds and are typically analyzed via the eigenfunctions of the Laplace-Beltrami operator. This paper extends manifold…