2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21148A linear transmitter with correlated Gaussian white additive and multiplicative noises and a periodic signal coupled either additively or multiplicatively is considered. The correlations have a weak destructive effect in case of the additive signal and a strong constructive effect in case of the multiplicative one. Analytical results for the linear transmitter with the additive signal agree with those obtained previously by a different approach. We also show how to analytically calculate certain expectation values involving exponentials of Gaussian processes.Physica A, accepted. Minor changes as compared to a previous versionStatistical Mechanicstext