[Single-Sideband Example] The message signal modulates the c

[Single-Sideband Example] The message signal
modulates the carrier c(t) = cos(2πƒct) using an LSSB-AM scheme. It is assumed that to= 0.15 s and ƒc = 250 Hz.
1. Plot the Hilbert transform of the message signal and the modulated signal  ( t) . Also plot the spectrum of the modulated signal.
2. Assuming the message signal is periodic with period to, determine the power in the modulated signal. 3. If a noise is added to the modulated signal such that the SNR after demodulation is 10 dB, determine the power in the noise