Final answer:
To produce the one-sided amplitude spectrum for the given signal, use the Fourier transform to decompose the signal into its individual frequency components and obtain the amplitudes of the different frequencies present.
Step-by-step explanation:
To produce the one-sided amplitude spectrum for the given signal x(n) = 2cos(2π1200nTₛ) + √7cos(2π1700nTₛ) + white Gaussian noise, we can use the Fourier transform. The Fourier transform is a mathematical tool that decomposes a signal into its individual frequency components. In this case, we want to find the amplitudes of the frequencies present in the signal.
To perform the Fourier transform, we can use a computer software or programming language that supports signal processing. By applying the Fourier transform to the signal x(n), we can obtain the amplitude spectrum, which represents the amplitudes of the different frequencies present in the signal.