2.1. Signal Detection Theory and Intrusive Noise
The new Italian technical specification UNI/TS 11844 [
27] defines the measurement procedure and evaluation parameters for sound levels generated by one or more specific sources in a given context, with the purpose of objectively and quantitatively assessing the disturbance associated with one or more specific noise sources.
When these noise sources are distinguishable within the environmental context in which they are located, they are called intrusive noise [
28].
The intrusiveness of a sound emission S in an acoustic context characterized by pre-existing noise N can be characterized in terms of the signal-to-noise ratio (SNR). Sound emission S is considered intrusive when it is distinguishable from noise N. The human auditory system can be simplified as a system of bandpass filters, where the listener perceives the output signal of the filter system with a predominant contribution from the filter with the highest masking signal-to-noise ratio.
Masking is mainly determined by the sound energy contained in a narrow frequency band centered on the S signal (critical band). The critical band width B shall increase in proportion to the central band frequency throughout the audible frequency range. For frequencies f > 500 Hz, the critical bandwidth B is approximately equal to that of bands at 1/3 octave, while for frequencies f < 500 Hz, B is almost constant and equal to about 100 Hz.
In the presence of intrusive noise, it may be useful to refer to Signal Detection Theory (SDT), which is applicable to sensory stimuli, including auditory stimuli [
29,
30,
31].
The general premise of SDT is that decisions about whether or not the S signal is present are made in a context of uncertainty, and the goal of the decision maker is to correctly identify and discriminate the S signal from the N masking noise.
The theory of signal detection is a theoretical framework used to analyze and understand decision-making processes in the presence of uncertainty or noise [
32]. It originates from the field of psychology but has been widely applied in various disciplines, including neuroscience, economics, and engineering.
The main objective of SDT is to examine how individuals differentiate between informative signals (also called “signals”) and background noise (also called “noise”).
In the context of the SDT, a signal refers to a meaningful stimulus or event that an individual is trying to detect, while noise refers to irrelevant or distracting stimuli.
In the presence of intrusive noise, it is possible to refer to SDT, the concepts of which form the basis of the recent technical specification UNI/TS 11844:2022. This specification aims to provide guidance in selecting methods for investigating and assessing intrusive noise [
33].
The evaluation methodology involves measuring environmental noise and background noise and then estimating intrusive noise from the specific source. The analysis procedure consists of estimating the noise from the specific source under examination, denoted as Ls, using the following relationship in Equation (
1):
where, according to [
34]:
This equation permits the evaluation of the noise source level under test as the difference between the environmental sound pressure level when the source is on and the sound pressure level in the same field when the specific source is off.
Equation (
1) provides reliable estimates of Ls for algebraic differences, as in Equation (
2):
In reality, noise disturbance is not only correlated with the overall A-weighted sound level but also with the intrusiveness of the noise. The intrusiveness of noise, in turn, depends on many factors, including the following:
The frequency distribution of sound energy (spectrum) from the investigated source in relation to the background noise;
The presence of distinct tonal components;
The impulsive nature of the noise;
The duration of the noise;
The investigation period (daytime, nighttime, etc.).
To address this gap, the UNI/TS 11844 standard introduces the Detectability level D’L to estimate the intrusiveness of a specific sound source in relation to the background noise. Estimating the intrusiveness of the sound emission from the specific source can be managed using a detection theory, a psychophysical theory that analyzes an observer’s response to signal exposure in the presence of noise. This theory examines the observer’s ability to distinguish the signal from the interfering noise.
The D’L is based on comparing the estimated spectrum for the specific source s (intrusive noise) with the measured spectrum for background noise r.
For each frequency band, the parameter d’ is determined as shown in Equation (
3):
where:
For the cumulative value dc that takes into account the contributions of N frequency bands, Equation (
4) is applied:
The corresponding D’L parameter is obtained as shown in Equation (
5):
The value of D’L is directly proportional to the intrusiveness of the noise from the specific source. In other words, increasing values of D’L correspond to progressively higher levels of intrusiveness.
The introduction of this parameter prevents excessive simplification by considering only a single weighted A-weighted global value and overlooking the frequency characteristics of the compared sounds. As a result, there is a numerical scale for the level of intrusiveness that depends on the difference between the level of intrusive noise and the level of background noise, evaluated for each frequency band of the sounds.
Table 1 shows the indications of intrusiveness magnitude reported in Table 3, UNI/TS 11844:2022.
The calculation of D’L, which is based on the signal-to-noise ratio between the spectra of the specific source and the background noise, takes into account the possible presence of tonal components as well as impulsive events that, as is known, tend to distribute their energy throughout all frequency bands. Tonal components could be evaluated according to [
35,
36,
37].
Moreover, the comparison of these spectra allows highlighting the bands with the highest d’ values and guiding any interventions aimed at reducing intrusiveness.
2.2. The Measurement and Selection of Samples
The methodology was applied to some different types of noise sources. In particular, it was applied and analyzed in 5 cases:
Road traffic noise;
Railway noise;
Noise from an HVAC system;
Noise from a laboratory and shop point;
Noise from an industrial site.
To identify characteristic spectra, preliminary assessments will be necessary regarding the selection of a representative time period for the analyzed events, specifically referring to the guidelines provided by UNI/TS 11844 and according to Italian laws on environmental noise control and measurements [
38,
39,
40,
41].
The five cases indicated above were analyzed using the same study methodology.
The preliminary analysis involves identifying the activity times, the characteristics of the sound source, and the operating cycle (repetitive hourly/daily/weekly, continuous/discontinuous, etc.).
For case 4 (laboratory), it was also interesting to obtain information on noise induced by customers and workers. Hourly traffic flows were acquired for the road and railway, as well as other information relating to the seasonal use of the infrastructure.
Measurement operations were carried out following methods proposed from time to time by the UNI or ISO standards.
The operating procedure used in all five cases is the same. From the acoustic measurements, the representative acoustic spectra of the sources were identified. Then, the theory described above was applied to calculate the noise intrusiveness indicators. In all cases, the final result of each one is not unique but can vary depending on the methods in which the operator technician makes the preliminary postprocessing choices. For the purposes of this work, it is important to understand what the critical issues are during the application of the theory and methodology. For this reason, it is not interesting to present the detailed results of all five cases analyzed. Considering that the method is more critical in the case of noise coming from more random sources, such as industrial or handicraft sources, only case 4 is analyzed in more detail below. The general conclusions, which are exposed later, can be considered the same for the five cases studied. The observations can then be extended to the other cases as well.