The fundamental objective of acoustic barriers is to preserve the inhabitants of nearby areas from the high noise generated by road traffic. It is possible to significantly improve the performance of conventional acoustic barriers by attaching small acoustic diffusers on their upper part (caps) that do not imply an appreciable height increase of the barrier, thereby adhering to any height regulation or restriction. This work deepens and yields findings in the study of the acoustic performance of barriers with diffusers of different shapes, number and arrangement through the calculation of their insertion losses (IL). In this research, a design of four Y-shaped diffusing elements arranged according to the well-known fractal pattern called Cantor set is presented and validated through two types of traffic noise sources ('Car' and 'Ambulance'), one listener and a wide frequency band up to 10 kHz. The results demonstrate that the proposed diffuser provides a significant increase in acoustic losses compared to the results obtained in previous works without raising the height of the barrier. To the best of the authors' knowledge, there are no diffuser structures like the one presented here that have been installed or even proposed/analysed.