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Antisparsity as a Prior in Blind Separation of Correlated Sources

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posted on 24.06.2021, 21:48 by Renan BrottoRenan Brotto, Kenji Nose-Filho, João M. T. Romano
This letter introduces the concept of antisparse Blind Source Separation (BSS), proposing a suitable criterion based on the $\ell_\infty$ norm to explore the antisparsity feature.
The effectiveness of the criterion is theoretically demonstrated and it is also evaluated by computational simulations, which consider up to ten distinct sources with different correlation levels. Moreover, we simulated a scenario in wireless communication with binary sources, comparing our approach to the Constant Modulus algorithm. Both the theoretical and the simulation results highlight the potentiality of using antisparsity as a prior in BSS.

Funding

FAPESP (process no. 2017/13025/2 and process no. 2019/20899-4)

CAPES (Code 001)

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Email Address of Submitting Author

renanbrotto@gmail.com

Submitting Author's Institution

University of Campinas

Submitting Author's Country

Brazil

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