Amplification of Amplitude Noise by Colored Noise

In this study, the strength of the amplitude noise $k_n$ is amplified by colored noise. Colored noise' /cite{milotti20021, zhivomirov2018method} has a distinct power spectral density function (PSD) shape, which represents the distribution of signal power in the frequency domain. Unlike white noise, colored noise has no zero autocorrelation function. The autocorrelation function of noise measures the similarity between the noise at two different time points and is used to describe the dependence of the noise value at one time on the value at another.