FRIDA: FRI-Based DOA Estimation for Arbitrary Array Layouts

TL;DR

FRIDA is a novel DOA estimation algorithm that works with arbitrary array layouts, combining multi-band data coherently, achieving high resolution at low SNR without grid search, based on finite rate of innovation sampling.

Contribution

FRIDA introduces a gridless, high-resolution DOA estimation method applicable to any array layout, utilizing recent sampling theory advances.

Findings

Achieves state-of-the-art resolution at low SNR

Works with arbitrary array configurations

Eliminates the need for grid search

Abstract

In this paper we present FRIDA---an algorithm for estimating directions of arrival of multiple wideband sound sources. FRIDA combines multi-band information coherently and achieves state-of-the-art resolution at extremely low signal-to-noise ratios. It works for arbitrary array layouts, but unlike the various steered response power and subspace methods, it does not require a grid search. FRIDA leverages recent advances in sampling signals with a finite rate of innovation. It is based on the insight that for any array layout, the entries of the spatial covariance matrix can be linearly transformed into a uniformly sampled sum of sinusoids.