m(t) = sin (2fmt) c(t) = cos (21fct+) Develop a Matlab code to simulate the single-tone DSB-SC with 15 kHz carrier (of unit amplitude and phase 1/4) and a modulating wave of a single sinusoid with frequency 100 kHz (from 0 to 0.1). 2) Write a MATLAB code to compute and plot the DSB-SC signal amplitude spectrum. 3) Clearly explain the differences between DSB-SC and Standard AM both in time domain and frequency domain in your report. 4) Simulate the synchronous Costas receiver system provided in the diagram. Plot the resulting output signal and compare it to the modulating signal. 5) Comment on the amplitude of received message signal and explain the duty of low-pass filter. 6) Plot the VCO output phase variation with time. Compute the phase lock-in time. Find out the maximum modulating frequency and phase error for which the Costas loop can achieve synchronization to the input signal. m(t) = sin (2fmt) c(t) = cos (21fct+) Develop a Matlab code to simulate the single-tone DSB-SC with 15 kHz carrier (of unit amplitude and phase 1/4) and a modulating wave of a single sinusoid with frequency 100 kHz (from 0 to 0.1). 2) Write a MATLAB code to compute and plot the DSB-SC signal amplitude spectrum. 3) Clearly explain the differences between DSB-SC and Standard AM both in time domain and frequency domain in your report. 4) Simulate the synchronous Costas receiver system provided in the diagram. Plot the resulting output signal and compare it to the modulating signal. 5) Comment on the amplitude of received message signal and explain the duty of low-pass filter. 6) Plot the VCO output phase variation with time. Compute the phase lock-in time. Find out the maximum modulating frequency and phase error for which the Costas loop can achieve synchronization to the input signal