please solve and explain in detail for the WHOLE QUESTION 1, thank you very much

Q1. (a) An Amplitude Modulation (AM) signal can be demodulated by using a synchronous demodulator (i)Draw the block diagram of a synchronous demodulator (3 marks) (ii)Show that a message signal can be recovered from the modulated Double-Sideband suppressed Carrier (DSB-SC) by using the block diagram in Q1(a)(i). State clearly (4 marks) Evaluate the effect of a phase error, , in the local oscillator on the synchronous all the assumptions that you have made (iii) demodulator. Describe the effect if 8 varies from 0 to 2Tt (6 marks) (b) An audio signal at 2 kHz is amplitude modulated by a carrier at 100 MHz. The output is fed to an antenna with an impedance of 50 . Assume that the effective carrier power, Pc, is 1.5W, and the power of each sideband is 240 mW (i) Calculate the total output power (ii) Calculate the peak carrier voltage (iii) Find the modulation index (iv) Determine the modulating voltage, V (v) Write the expression of the AM waveform (2 marks) (3 marks) (3 marks) (2 marks) (2 marks)