The paper is devoted to studying the sufficient conditions for the asymptotical separability of distinct terms in the linear combination of harmonics by singular spectrum analysis (SSA). Namely, the series x_0, …, with
x_n =\sum_{i=1}^r b_i cos(\omega_i n + \gamma_i) where
both amplitudes |b_i| and frequencies
ω_i ∈ (0, 1/2) are pairwise different, are considered. Then, as is proved in this study, under some relationship between amplitudes |b_i| and the choice of standard SSA parameters, the so-called reconstructed values prove to be very close to for large N.