A frame-theoretic two-dimensional multi-window graph fractional Fourier transform for product graph signal analysis

TL;DR

This paper introduces a novel two-dimensional multi-window graph fractional Fourier transform based on frame theory, designed to analyze complex multi-dimensional graph signals effectively.

Contribution

It proposes a new transform framework that extends fractional Fourier analysis to multi-dimensional graph signals using frame theory.

Findings

The proposed transform effectively captures multi-dimensional graph signal features.

It demonstrates improved analysis capabilities over existing methods.

The framework is theoretically grounded and applicable to complex structured domains.

Abstract

The analysis of multi-dimensional graph signals on complex structured domains remains a fundamental challenge,