Write the code for an m-file (script) that will be used to generate a DSB signal, an AM signal derived from the DSB signal, and a down-converted AM signal. The specifications for the simulation are:
Modulating Frequency = 1kHz, Initial Center Frequency = 30kHz, Final Center Frequency = 20kHz, Time Vector:3001 points over range from 0 to 3 ms (3 cycles at the modulating frequency).
1. Generate a DSB signal based on the modulating frequency, the initial center frequency, and amplitudes of 1.
2. Add the carrier to the DSB signal and set the modulation to 75% for the AM signal.
3. Provide an ideal mixing operation with a 10-kHz local oscillator having an amplitude of 2, and eliminate the undesired component by using a band-pass filter centered at 20kHz. The bandwidth should be sufficient to pass the shifted AM signal. A reasonable choice would be to set 3-dB points at 18.5 and 21.5kHz.