@conference{10902/20609, year = {2020}, url = {http://hdl.handle.net/10902/20609}, abstract = {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.}, organization = {This work was supported by the Ministerio de Economía y Competitividad (MINECO) of Spain, and AEI/FEDER funds of the E.U., under grants TEC2016-75067-C4-4-R (CARMEN), PID2019-104958RB-C43/C41 (ADELE) and BES-2017-080542.}, publisher = {Institute of Electrical and Electronics Engineers, Inc.}, publisher = {IEEE International Conference on Acoustics, Speech, and Signal Processing (ICCASP), Barcelona, 2020, 6044-6088}, title = {Source enumeration via Toeplitz matrix completion}, author = {Garg, Vaibhav and Giménez Febrer, Pedro Juan and Pagès Zamora, Alba and Santamaría Caballero, Luis Ignacio}, }