On noise treatment in radio measurements of cosmic ray air showers
F.G. Schr\"oder, W.D. Apel, J.C. Arteaga, T. Asch, L. B\"ahren, K., Bekk, M. Bertaina, P.L. Biermann, J. Bl\"umer, H. Bozdog, I.M. Brancus, P., Buchholz, S. Buitink, E. Cantoni, A. Chiavassa, K. Daumiller, V. de Souza, P., Doll, R. Engel, H. Falcke, M. Finger, D. Fuhrmann

TL;DR
This paper investigates how noise affects radio measurements of cosmic ray air showers, emphasizing the importance of proper noise treatment for accurate amplitude and timing analysis, especially at low signal-to-noise ratios.
Contribution
It introduces a method for consistent noise treatment in radio pulse measurements, applicable to cosmic ray and neutrino detection experiments.
Findings
Noise can significantly bias amplitude and timing measurements.
Proper noise treatment reduces systematic errors in lateral distribution slopes.
Noise impact is most critical at low signal-to-noise ratios.
Abstract
Precise measurements of the radio emission by cosmic ray air showers require an adequate treatment of noise. Unlike to usual experiments in particle physics, where noise always adds to the signal, radio noise can in principle decrease or increase the signal if it interferes by chance destructively or constructively. Consequently, noise cannot simply be subtracted from the signal, and its influence on amplitude and time measurement of radio pulses must be studied with care. First, noise has to be determined consistently with the definition of the radio signal which typically is the maximum field strength of the radio pulse. Second, the average impact of noise on radio pulse measurements at individual antennas is studied for LOPES. It is shown that a correct treatment of noise is especially important at low signal-to-noise ratios: noise can be the dominant source of uncertainty for pulse…
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