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Fourier Analysis of Signals on Directed Acyclic Graphs (DAG) Using Graph Zero-Padding
Abstract Directed acyclic graphs (DAGs) are used for modeling causal relationships, dependencies, and flows in various systems. However, spectral analysis becomes impractical in this setting because the eigendecomposition of the adjacency matrix yields all eigenvalues equal to zero. This inherent property of DAGs results in an inability to differentiate between frequency components of signals on such graphs. This problem can be addressed by alternating the Fourier basis or adding edges in...
Preuzmite dokument 2024 Ali Bagheri Bardi , Ljubisa Stankovic , Miloš Daković , Miloš Brajović , Isidora Stanković
MDPI AG
Multivariate Decomposition of Acoustic Signals in Dispersive Channels
We present a signal decomposition procedure, which separates modes into individual components while preserving their integrity, in effort to tackle the challenges related to the characterization of modes in an acoustic dispersive environment. With this approach, each mode can be analyzed and processed individually, which carries opportunities for new insights into their characterization possibilities. The proposed methodology is based on the eigenanalysis of the autocorrelation matrix of the analyzed...
Preuzmite dokument 2021 Jonatan Lerga , Cornel Ioana , Eftim Zdravevski , Miloš Daković , Miloš Brajović , Isidora Stanković
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