Title
Real-valued MVDR beamforming using spherical arrays with frequency invariant characteristic
Abstract
Complex-valued minimum variance distortionless response (MVDR) beamforming for wideband signals has very high computational amount. In this paper, we design a novel real-valued MVDR beamformer for spherical arrays. The dependence of the array steering matrix on source signal directions and frequencies is decoupled using spherical harmonic decomposition. Then a compensation network is designed to solve the frequency dependence of the array response and to get a new array response only determined by the spherical harmonics of the source directions. All frequency bins of wideband signals can be used together instead of being processed independently. By exploiting the property of the conjugate spherical harmonics, a unitary transform can be found to acquire a real-valued frequency invariant steering matrix (FISM). Based on the FISM, real-valued MVDR (RV-MVDR) is developed to obtain good performance with low computational amount. Simulation results demonstrate the performance of our proposed method for beamforming and direction-of-arrival (DOA) estimation by comparing with the complex-valued and real-weighted MVDR methods.
Year
DOI
Venue
2016
10.1016/j.dsp.2015.09.021
Digital Signal Processing
Keywords
Field
DocType
Spherical arrays,Spherical harmonic decomposition,Real-valued minimum variance distortionless response (MVDR),Frequency invariant beamforming,Unitary transform
Beamforming,Minimum-variance unbiased estimator,Wideband,Mathematical optimization,Matrix (mathematics),Unitary transformation,Spherical harmonics,Frequency invariant beamforming,Invariant (mathematics),Mathematics
Journal
Volume
Issue
ISSN
48
C
1051-2004
Citations 
PageRank 
References 
3
0.41
10
Authors
3
Name
Order
Citations
PageRank
Qinghua Huang130.75
Rui Hu230.41
Yong Fang319131.43