how do I Create the DSB-SC modulating signal with carrier frequency = 1 MHz. and Plot the spectrum of the modulating signal?

how do I Create the DSB-SC modulating signal with carrier frequency = 1 MHz. and Plot the spectrum of the modulating signal?

Answer 1

[LO]

To create a DSB-SC modulating signal with a carrier frequency of 1 MHz:

1. Modulating Signal (m(t)):m(t)=Am⋅sin⁡(2πfmt)m(t) = A_m \cdot \sin(2 \pi f_m t)m(t)=Am​⋅sin(2πfm​t), where fmf_mfm​ is the modulating signal frequency.
2. Carrier Signal (c(t)):c(t)=Ac⋅cos⁡(2πfct)c(t) = A_c \cdot \cos(2 \pi f_c t)c(t)=Ac​⋅cos(2πfc​t), where fc=1 MHzf_c = 1 \, \text{MHz}fc​=1MHz.
3. DSB-SC Modulated Signal:s(t)=Ac⋅m(t)⋅cos⁡(2πfct)s(t) = A_c \cdot m(t) \cdot \cos(2 \pi f_c t)s(t)=Ac​⋅m(t)⋅cos(2πfc​t).

To Plot the Spectrum:

• Take the Fourier Transform of s(t)s(t)s(t), which will show two sidebands centered around the carrier frequency fcf_cfc​.

For application development dubai, you can consider industries like telecom, IoT, and broadcasting, which utilize DSB-SC for efficient modulation in communications systems.