Final answer:
To find the exponential Fourier series coefficients of the signals and plot their amplitude and phase spectra, we need to determine the coefficients for each component in the signal. For signal (a) x₁(t) = 2 + 4cos(3πt) - 2jsin(7πt), the coefficients can be found by inspecting the signal. For signal (b) x₂[n] = 4cos(2.4πn) + 2sin(3.2πn), the coefficients can also be found by inspecting the signal.
Step-by-step explanation:
To find the exponential Fourier series coefficients of the signals and plot their amplitude and phase spectra, we need to determine the coefficients for each component in the signal. For signal (a) x₁(t) = 2 + 4cos(3πt) - 2jsin(7πt), the coefficients can be found by inspecting the signal. The cosine and sine terms have amplitudes of 4 and -2 respectively, while the frequencies are given by 3π and 7π. Therefore, the exponential Fourier series coefficients are a₀ = 2, aₙ = 2δₙ₋₃, bₙ = -j2δₙ₋₇.
For signal (b) x₂[n] = 4cos(2.4πn) + 2sin(3.2πn), the coefficients can also be found by inspecting the signal. The cosine and sine terms have amplitudes of 4 and 2 respectively, while the frequencies are given by 2.4π and 3.2π. Therefore, the exponential Fourier series coefficients are a₀ = 0, aₙ = 4δₙ₋₂.₄, bₙ = 2δₙ₋₃.₂.