Problem 2 In a DSB-SC system, the carrier frequency is 5 kHz and the message signal is given by m(t) = 2cos1000nt + sin2000nt. Find and sketch the spectra of the message signal and %3D modulated signal. Identify the upper sideband (USB) and the lower sideband (LSB) spectra in the DSB-SC modulated signal. Determine the average power in the message signal as well as in each frequency component of the modulated signal. Problem 3 The modulating signal m(t) = cos1000nt cos3000nt is multiplied by the carrier c(t) = cos(2nfct), where fe = 5 kHz. Determine and sketch the spectra of the modulating %3D and modulated signals. Identify the upper sideband (USB) and the lower sideband (LSB) spectra in the DSB-SC modulated signal.