1Given the signal x(t) = 10 + 14cos(200πt - π/3) + 8cos(500πt + 0.5π), identify the correct phasor coefficients for the spectrum at the following frequencies.
2Based on the concept of Conjugate Symmetry for a real signal x(t), if the spectral component at a positive frequency f is X_k, what are the properties of the component at frequency -f?
3Using the Inverse Euler formulas, which of the following expressions correctly represent sin(2πf0t)?
4A 'Beat' signal is generated by summing two sinusoids with slightly different frequencies: x(t) = 0.5*cos(396πt) + 0.5*cos(404πt). Select the true statements regarding this signal.
5Regarding complex exponentials of the form e^(jωt), which of the following are true?
6In an Amplitude Modulated (AM) signal x(t) = m(t) * cos(2πfct), where m(t) is a low-frequency signal, what happens to the spectrum of m(t)?
7A spectrum plot shows a component at 20 Hz with label 3e^(j0.2π) and at -20 Hz with label 3e^(-j0.2π). Which time-domain term(s) does this pair correspond to?
8For a periodic signal observed in a piano recording with a period T0 = 3.8 ms, which of the following can be inferred?
9When using the Matlab command 'fft' to analyze the signal x = sin(2*pi*15*t) + 2*cos(2*pi*40*t + 0.3*pi), which frequencies will display peaks in the magnitude spectrum?
10Which of the following are necessary to fully define a single spectral line in a spectrum plot?
