Modifications of Computational Formulae of Decibel Algebra Applied in Acoustics

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.