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Decompose the signal s(t)=cos(100t) * (1+sin(4*t)) into a linear combination s(t) = sum(a_k * cos(2*PI*f_k*t + fi_k)) of sinusoidal functions and find the amplitude, frequency

Decompose the signal s(t)=cos(100t) * (1+sin(4*t)) into a linear combination s(t) = sum(a_k * cos(2*PI*f_k*t + fi_k)) of sinusoidal functions and find the amplitude, frequency and phase of each component k.

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