A covariance fitting approach for correlated acoustic source mapping.
Microphone arrays are commonly used for noise source localization and power estimation in aeroacoustic measurements. The delay-and-sum (DAS) beamformer, which is the most widely used beamforming algorithm in practice, suffers from low resolution and high sidelobe level problems. Therefore, deconvolution approaches, such as the deconvolution approach for the mapping of acoustic sources (DAMAS), are often used for extracting the actual source powers from the contaminated DAS results. However, most deconvolution approaches assume that the sources are uncorrelated. Although deconvolution algorithms that can deal with correlated sources, such as DAMAS for correlated sources, do exist, these algorithms are computationally impractical even for small scanning grid sizes. This paper presents a covariance fitting approach for the mapping of acoustic correlated sources (MACS), which can work with uncorrelated, partially correlated or even coherent sources with a reasonably low computational complexity. MACS minimizes a quadratic cost function in a cyclic manner by making use of convex optimization and sparsity, and is guaranteed to converge at least locally. Simulations and experimental data acquired at the University of Florida Aeroacoustic Flow Facility with a 63-element logarithmic spiral microphone array in the absence of flow are used to demonstrate the performance of MACS.
Department of Electrical and Computer Engineering, University of Florida, Gainesville, Florida 32611, USA.
Tarik
T
Yardibi
Jian
J
Li
Petre
P
Stoica
Nikolas S
NS
Zawodny
Louis N
LN
Cattafesta
D000162:Acoustics / Q000295:instrumentation; D000401:Aircraft; D000465:Algorithms; D003198:Computer Simulation; D004867:Equipment Design; D005583:Fourier Analysis; D008962:Models, Theoretical; D009038:Motion; D009624:Noise, Transportation / Q000517:prevention & control*; D011312:Pressure; D015203:Reproducibility of Results; D012815:Signal Processing, Computer-Assisted; D013016:Sound; D013997:Time Factors; D014160:Transducers, Pressure