Acoustic intensity of narrowband sources using the phase and amplitude gradient estimator method

Succo, Kelli; Sommerfeldt, Scott D.; Gee, Kent L.; Neilsen, Tracianne B.

doi:10.1121/2.0000837

Cited by 1 publication

(2 citation statements)

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“…In general, angular estimates are valid up to frequencies near f N;eff , while magnitude estimates are only valid up to around one-half of f N;eff . 24 However, the PAGE method yields accurate magnitude and phase estimates up to f N;eff and also at higher frequencies if the phase gradient can be accurately calculated. Accurate calculation requires the use of phase unwrapping.…”

Section: Spatial Nyquist Frequencymentioning

confidence: 99%

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Bandwidth extension of narrowband-signal intensity calculation using additive, low-level broadband noise

Cook

Succo

Gee

et al. 2019

The Journal of the Acoustical Society of America

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Calculation of acoustic intensity using the phase and amplitude gradient estimator (PAGE) method has been shown to increase the effective upper frequency limit beyond the traditional p-p method when the source of interest is broadband in frequency [Torrie, Whiting, Gee, Neilsen, and Sommerfeldt, Proc. Mtgs. Acoust. 23, 030005 (2015)]. PAGE processing calculates intensity for narrowband sources without bias error up to the spatial Nyquist frequency [Succo, Sommerfeldt, Gee, and Neilsen, Proc. Mtgs. Acoust. 30, 030015 (2018)]. The present work demonstrates that for narrowband sources with frequency content above the spatial Nyquist frequency, additive low-level broadband noise can improve intensity calculations. To be effective, the angular separation between the source and additive noise source should be less than 30 , while using phase unwrapping with a smaller angular separation will increase the usable bandwidth. The upper frequency limit for the bandwidth extension depends on angular separation, sound speed, and probe microphone spacing. Assuming the signal-to-additive-noise ratio (SNR a) is larger than 10 dB, the maximum level and angular bias errors incurred by the additive broadband noise beneath the frequency limit-or up until probe scattering effects must be taken into account-are less than 0.5 dB and 2:5 , respectively. Smaller angular separation yields smaller bias errors. V

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Section: Spatial Nyquist Frequencymentioning

confidence: 99%

“…This probe is chosen because symmetry can be employed and calculations are simplified by using pairs of orthogonal microphones. 24 The intensity for this probe using the PAGE method calculation is…”

Section: Derivationsmentioning

confidence: 99%