LAUSR

The Phase and Amplitude Gradient Estimator (PAGE) method was developed as an alternative to the traditional method for calculating energy-based acoustic measures such as active acoustic intensity [E. B. Whiting et al. J. Acoust. Soc. Am. 142, 2208–2218 (2017)]. While this method shows many marked improvements over the traditional method, such as a higher valid frequency bandwidth for broadband sources, contaminating noise can lead to inaccurate results. Both the traditional method and the PAGE method can perform poorly when microphone pairs exhibit low coherence, whether caused by noise or by imprecise measurements. By using a coherence weighting in the least-squares pressure gradient calculations, where the weighting can vary across frequency, better estimates of the pressure gradient can be obtained, which in turn yield more accurate results for intensity. Additionally, a coherence-based approach may be used to mitigate the negative impact of contaminating noise, most especially for uncorrelated contaminating noise. These improvements, though requiring a greater amount of computation time, can be integrated into the PAGE method processing procedures to create a more stable method for calculating acoustic intensity. [Work supported by NSF.]The Phase and Amplitude Gradient Estimator (PAGE) method was developed as an alternative to the traditional method for calculating energy-based acoustic measures such as active acoustic intensity [E. B. Whiting et al. J. Acoust. Soc. Am. 142, 2208–2218 (2017)]. While this method shows many marked improvements over the traditional method, such as a higher valid frequency bandwidth for broadband sources, contaminating noise can lead to inaccurate results. Both the traditional method and the PAGE method can perform poorly when microphone pairs exhibit low coherence, whether caused by noise or by imprecise measurements. By using a coherence weighting in the least-squares pressure gradient calculations, where the weighting can vary across frequency, better estimates of the pressure gradient can be obtained, which in turn yield more accurate results for intensity. Additionally, a coherence-based approach may be used to mitigate the negative impact of contaminating noise, most especially for uncorrelated contami...