Most noise investigations, whether in answer to noise complaints or when setting or meeting noise specifications, do not include basic diagnostic good practice. Consequently, as the end results are therefore largely based on guesswork, this can cause unnecessarily high health and fiscal costs.
The following is the detailed diagnostic process that must be followed to ensure that both the precise causes of the noise issues are identified and that Best Practicable Means (BPM) can be implemented where mitigation is required.
There are only 2 broad types of noise characteristic to check, namely amplitude (including variation in) and frequency content.
Amplitude: dB(A) plus any variation in the amplitude of the broadband noise. Whilst adequate information can often be acquired quite quickly, there is a tendency to log noise data over unnecessarily long periods. This particularly inappropriate (and costly) when the noise problem is not governed by dB(A) - which should have been determined before scheduling extensive logging.
Frequency content: broadband and/or tonal features. Neither the commonly used subjective impression (does the noise sound tonal?) nor the BS4142 1/3 octave method are reliable. Moreover, they do not provide the diagnostic information that is absolutely crucial for both problem identification and mitigation. Narrow band analysis is a non-negotiable requirement.

BS4142: this is an unnecessary costly and time consuming assessment where there are justified noise complaints. The objective is to determine and eliminate the precise causes of the complaints, not to indulge in a long, drawn out process simply to come to the obvious conclusion that "complaints are likely".
Parts 1 and 2 of the procedure described below can be carried out by almost anyone as very little specialist knowledge is required. It is only part 3, the mitigation process, that requires more specialist engineering expertise.

Once you have discussed the problem with the complainant or established the details of the noise specification:
"Complaint signature" creation process example

Resident complaints about “hum” resulted in multiple noise reports that ascribed the problem to a nearby large industrial site that was then subject to regulatory action – but without any source identification as the reports were based on inadequate 1/3 octave analyses.
Our narrow band analysis proved that the problem was actually 2 tones at 71Hz and 75Hz as shown here, not the single assumed “hum”. The 75Hz tone was identified as the exhaust of a diesel generator set on the site, simply solved by fitting a tuned exhaust silencer.
The 71Hz tone was identified as the fan blade pass for a chiller on a completely different site, easily mitigated using aerodynamic noise control.
Not following the diagnostic process led to considerable unnecessary expense (noise reports), wasted regulator resources and a delay of over a year in eliminating resident stress.
Identify contributory site plant noise sources and characteristics, be it a simple takeaway café extract fan or from an entire industrial site. Then rank the sources (if there are multiple potential contributors) – against noise specifications and by subjective effect - dB(A) and character at the complainant, site boundary or other reference position.
How to identify and rank the noise source(s)

"Complaint signature" diagnostic process example

These 2 new cooling towers caused noise complaints from residents opposite. The consultant report (no ranking process) recommended outlet silencers and a noise barrier at the boundary to achieve a predicted noise level of 56dB(A).

We ranked the sources through a combination of briefly running each tower separately, broadband noise prediction and frequency analyses. The ranked contributions were 1: air outlets, 2: air inlets, 3: fan motors, 4: main pumps 5: lift pumps.
The inlets and outlets were fitted with absorbent panels; pump motors fitted with simple silencers and a wall lined with absorbent to reduce reflections. Following this diagnostic process cut the cost by > 80% and achieved > 4 times the attenuation (down to <50dB(A)).

If the above process has been carried out, then the next step is define precisely what would constitute Best Practicable Means (BPM) or Best Available Technology (BAT) to mitigate. Without this process, then mitigation is largely based on guesswork...