A generalized cumulative noise exposure metric for community response analysis

In community noise studies, there is often a desire to understand how the annoyance response to multiple noise events aggregates over a long period of time. Many cumulative response metrics, such as day-night level (DNL), are based on the idea that humans respond, on average, to the sum of frequency-weighted acoustic energy over time. This paper introduces a generalization of DNL that includes a parameter, b, that ranges between zero and one. When b equals zero, the metric returns the maximum level of the events. When b equals 0.5, the metric reproduces the equal-energy-based output of DNL. When b = 0, 0.5, and 1, the metric returns a value that more harshly penalizes the number of events. In this way, these common possible hypotheses are organized onto a single scale, one that may be used to craft effective noise mitigation techniques or implement regulations. The analysis is demonstrated in two ways: first, on synthetic datasets to show the utility and consistency of the metric, and second, on limited quiet-supersonic response data gathered during the Quiet Supersonic Flights 2018 community study.