Amplified Amplitude Noise in the Presence of Colored Noise

The strength of the amplitude noise $k_n$ in this study is amplified by colored noise. Colored noise, as described in '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 values of the same noise at different time points and is used to describe the dependence of noise values at one time on those at another.