Title
Superdirective Beamforming Based on the Krylov Matrix.
Abstract
Superdirective beamforming has attracted a significant amount of research interest in speech and audio applications, since it can maximize the directivity factor DF given an array geometry and, therefore, is efficient in dealing with signal acquisition in diffuse-like noise environments. However, this beamformer is very sensitive to sensor self-noise and mismatch among sensors, which considerably restricts its use in practical systems. This paper develops an approach to superdirective beamforming based on the Krylov matrix. We show that the columns of a proposed Krylov matrix, which span a chosen dimension of the whole space, are interesting beamformers; consequently, all different linear combinations of those columns lead to beamformers that have good properties. In particular, we develop the Krylov maximum white noise gain and Krylov maximum DF beamformers, which are obtained by maximizing the WNG and the DF, respectively. By properly choosing the dimension of the Krylov subspace, the developed beamformers that can make a compromise between reasonable values of the DF and white noise amplification. We also extend the basic idea to the design of the Krylov maximum front-to-back ratio, parametric superdirective, and parametric supercardioid beamformers.
Year
DOI
Venue
2016
10.1109/TASLP.2016.2618003
IEEE/ACM Trans. Audio, Speech & Language Processing
Keywords
Field
DocType
Array signal processing,White noise,Robustness,Microphone arrays
Krylov subspace,Beamforming,Linear combination,Directivity,Matrix (mathematics),Computer science,Speech recognition,White noise,Robustness (computer science),Parametric statistics
Journal
Volume
Issue
ISSN
24
12
2329-9290
Citations 
PageRank 
References 
4
0.45
22
Authors
3
Name
Order
Citations
PageRank
Gongping Huang17613.39
Jacob Benesty21386136.42
Jingdong Chen31460128.79