Spectral Analysis of Temporal Signals on DAGs Using Joint Time-Vertex Fourier Transform

In this paper, we introduce a framework that combines the Graph Fourier Transform (GFT) on Directed Acyclic Graphs (DAGs) with the Joint Time-Vertex Analysis. Our approach builds upon a recently developed zero-padding technique for DAG-based spectral analysis, enabling the application of time-vertex processing methods in such structures. We demonstrate the feasibility of this integration through illustrative examples. Future work will explore the broader implications of this methodology for scalable graph signal processing.