Homophase signals separation for Volterra series identification

Damien Bouvier 1 Thomas Hélie 1 David Roze 1
1 S3AM - Systèmes et Signaux Sonores : Audio/Acoustique, instruMents
STMS - Sciences et Technologies de la Musique et du Son
Abstract : This article addresses the identification of non-linear systems represented by Volterra series. To improve the robustness of state-of-the-art estimation methods, we introduce the notion of "homophase signals", for which a separation method is given. Those homophase signals are then used to derive a robust identification process. This prior step is similar to nonlinear homogeneous order separation, in which amplitude relations are used to separate the orders of a Volterra series, but offers a better conditioning by using phase deviations rather than amplitudes. First an academic phase-based method using complex-valued test signals is introduced for separating nonlinear orders. Second this notion of phase deviation is extended to real-valued signals, which leads to the design of the proposed homophase signals separation method. Finally, a new identification process is derived using the homophase signals. Simulations are used to highlight the benefits of the proposed identification process in comparison to the standard approach.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01930662
Contributor : David Roze <>
Submitted on : Thursday, November 22, 2018 - 10:59:55 AM
Last modification on : Tuesday, May 14, 2019 - 11:02:37 AM
Long-term archiving on : Saturday, February 23, 2019 - 2:00:49 PM

File

article_v_publish.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01930662, version 1

Citation

Damien Bouvier, Thomas Hélie, David Roze. Homophase signals separation for Volterra series identification. 57th IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami Beach, FL, United States. ⟨hal-01930662⟩

Share

Metrics

Record views

49

Files downloads

145