Source enumeration via Toeplitz matrix completion
Document typeConference report
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Rights accessOpen Access
This paper addresses the problem of source enumeration by an array of sensors in the presence of noise whose spatial covariance structure is a diagonal matrix with possibly different variances, referred to non-iid noise hereafter, when the sources are uncorrelated. The diagonal terms of the sample covariance matrix are removed and, after applying Toeplitz rectification as a denoising step, the signal covariance matrix is reconstructed by using a low-rank matrix completion method adapted to enforce the Toeplitz structure of the sought solution. The proposed source enumeration criterion is based on the Frobenius norm of the reconstructed signal covariance matrix obtained for increasing rank values. As illustrated by simulation examples, the proposed method performs robustly for both small and large-scale arrays with few snapshots, i.e. small-sample regime.
© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes,creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
CitationVaibhav, G. [et al.]. Source enumeration via Toeplitz matrix completion. A: IEEE International Conference on Acoustics, Speech, and Signal Processing. "2020 IEEE International Conference on Acoustics, Speech,and Signal Processing: proceedings: May 4-8, 2020: Centre de Convencions Internacional de Barcelona (CCIB) Barcelona, Spain". Institute of Electrical and Electronics Engineers (IEEE), 2020, p. 1-5.
- SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions - Ponències/Comunicacions de congressos 
- Doctorat en Teoria del Senyal i Comunicacions - Ponències/Comunicacions de congressos 
- Departament de Teoria del Senyal i Comunicacions - Ponències/Comunicacions de congressos [3.026]
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder