Modifications of Computational Formulae of Decibel Algebra Applied in Acoustics

• Authors: W. Batko
• Languages of publication: EN

Abstracts

EN

The analysis of description rules of acoustic effects in decibel algebra was performed in the presented paper. The attention was drawn to the incompatibility between mappings examined on the decibel values set and axioms of the real numbers theory. The consequences of this fact as well as the needs of the necessary modifications of relations describing a cooperation of sound levels from various sources (expressed by adding, subtracting or multiplying) were discussed. The necessary corrections were proposed. The analysis of differences was performed in relation to generally applied rules of processing the decibel measurement results in acoustic examinations.

Keywords

EN

43.50.Rq   43.50.Sr   43.50.Gf  

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 6A
• Pages: 909-912

Dates

published

2011-06

References

• 1. Directive 2002/49/WE of the European Parliament and of the Council of 25 June 2002, related to the assessment and management of environmental noise, Official Journal of the European Communities 18.07.2002
• 2. W. Batko, Acta Phys. Pol. A 118, 7 (2010)
• 3. H.J. Bress, Introduction and basic concepts of noise quality evaluation, 2nd ed., K. Larsen $ Son A/S, DK 2600 Glostrup, 1987 (in German)
• 4. H. Hoffman, A. Luepke, 0 Dezibel+0 Dezibel=3 Dezibel, Erich Schmidt Verlag, Berlin 1975
• 5. J.H. Maue, 0 Decibel+0 Decibel=3 Decibel. Decibel numbers calculus, mathematical relations in sets of decibel numbers, Erich Schmidt Verlag, Berlin 2009
• 6. W. Batko, R. Bal-Pyrcz, Arch. Acoust. 31, (supplement), 253 (2006)
• 7. International Organization for Standardization, Guide to the Expression of Uncertainty in Measurements, 1995

Identifiers

DOI

10.12693/APhysPolA.119.909