Develop a Matlab code to simulate the modulation of a single - tone AM signal with 15 kHz carrier and a modulating wave of a single sinusoid with frequency 2 kHz. Use a modulation index of 75 percent and a sampling rate of 100 kHz. Plot the time-domain AM signal where time range is 0 to 0.004 seconds. 1.1) 1.2) Develop a Matlab code to simulate DSB-SC signal with 15 kHz carrier and a modulating wave of a single sinusoid with frequency 2 kHz a sampling rate of 100 kHz. Plot the time-domain AM signal where time range is 0 to 0.004 seconds. 1.3) Develop a Matlab code to simulate FM signal with 15 kHz carrier and a modulating wave of a single sinusoid with frequency 2 kHz. Use a modulation indice (B) 5 and a sampling rate of 100 kHz. Plot the time-domain AM signal where time range is 0 to 0.004 seconds. 2) Simulate AWGN (Additive white Gaussian noise) channel (using randn() function). Signal to noise ratio should be around 10d B. You should not use built-in awgn() function. Add white gaussian noise to (1.1), (1.2), and (1.3).Plot the noisy signals and show the fourier spectrums. 3) Demodulate the signals with using necessary methods and plot the demodulated signals and their corresponding spectrums. 4) Compare the noise performance on different types of modulation.