| Paper: | SPTM-P7.10 | ||
| Session: | Stationary Signals and Spectrum Analysis | ||
| Time: | Thursday, May 18, 10:00 - 12:00 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Stationary Signals and Spectrum Analysis | ||
| Title: | Three-Way Arrays for Harmonic Retrieval: The Colored Noise Case | ||
| Authors: | Rémy Boyer, CNRS / Université Paris XI (UPS), SUPELEC, France | ||
| Abstract: | In this work, we deal with multilinear representations of an harmonic process composed by a mixture of complex sinusoids contaminated by a colored Gaussian noise of unknown probability density function. High-Order Statistics, and in particular Fourth-Order Cumulants (FOC), are popular tools to mitigate the effect of the colored noise and can be viewed as a natural enhancement of the noisy mixture. As the FOC of an harmonic process is a multilinear function, it seems natural to map this quantity onto a structured multi-way array ({\em aka.} tensor). However, an harmonic process can be understood as a pure stationary random process or as a deterministic process corrupted by a stationary noise. In this paper, we explore the relation existing between these two models in the context of the multilinear decomposition theory. | ||
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