The traditional method for intensity-based sound power estimates often used in engineering applications is limited in bandwidth by microphone phase mismatch at low frequencies and by microphone spacing at high frequencies. To overcome these limitations, the Phase and Amplitude Gradient Estimator (PAGE) method [Gee, Neilsen, Sommerfeldt, Akamine, and Okamoto, J. Acoust. Soc. Am. 141(4), EL357–EL362 (2017)] is applied to sound power for a reference sound source, a blender, and a vacuum cleaner. Sound power measurements taken according to ISO 3741:2010 (2010) are compared against traditional- and PAGE-processed intensity-based sound power estimates measured according to ANSI S12.12-1992 (R2017). While the traditional method underestimates the sound power at the spatial Nyquist frequency by 7–10 dB, the PAGE-based sound power is accurate up to the spatial Nyquist frequency, and above when phase unwrapping is successful.

中文翻译：

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基于强度的声功率估计的带宽扩展。

在工程应用中经常使用的基于强度的声功率估计的传统方法在带宽上会受到低频麦克风相位失配和高频麦克风间距的限制。为了克服这些限制，使用了相位和幅度梯度估计器（PAGE）方法[Gee，Neilsen，Sommerfeldt，Akamine，和Okamoto，J. Acoust。Soc。上午。141（4），EL357–EL362（2017）]应用于参考声源，搅拌器和真空吸尘器的声功率。将根据ISO 3741：2010（2010）进行的声功率测量与根据ANSI S12.12-1992（R2017）进行的传统处理和PAGE处理的基于强度的声功率估计进行比较。传统方法低估了空间Nyquist频率处的声功率7–10 dB，而基于PAGE的声音功率在高达空间Nyquist频率时以及在相位解缠成功时都可以准确测量。