Initialization-Free Implicit-Focusing (IF2) for Wideband Direction-of-Arrival Estimation
Jake Millhiser, Pulak Sarangi, Piya Pal
Abstract
This paper proposes a novel method to focus or align array manifolds at different frequencies to a single reference frequency in wideband direction of arrival (DOA) estimation. Unlike existing methods, our focusing can be performed without explicitly constructing focusing matrices, or requiring any preliminary DOA estimates. Instead the focusing is done implicitly by obtaining focused measurements as the solution to a rank minimization procedure. This paper also provides theoretical guarantees for exact focusing via rank minimization. We call this procedure Initialization-Free Implicit-Focusing (IF <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> ). Numerical simulations are provided to demonstrate the resilience of IF <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> in various SNR regimes compared to past and recent wideband DOA recovery methods, and its lack of error saturation in high SNR regimes <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> .
BibTeX
@inproceedings{icassp2022_initializationfr,
title = {Initialization-Free Implicit-Focusing (IF2) for Wideband Direction-of-Arrival Estimation},
author = {Jake Millhiser and Pulak Sarangi and Piya Pal},
booktitle = {ICASSP 2022},
year = {2022}
}