Plotting the Spectrum of a DSB-C Signal

In summary, a DSB-C (Double Sideband with Carrier) signal is an amplitude modulation (AM) signal containing the original message signal, the carrier signal, and both upper and lower sidebands. Its spectrum can be plotted using a Fourier transform, providing information about frequency components, amplitudes, and bandwidth. Factors such as the original message signal, carrier frequency, and noise can affect its spectrum. DSB-C signals are commonly used in radio and television broadcasting, telephone and data communication systems, due to their efficient transmission and easy demodulation capabilities.
  • #1
Natalie89
29
0
I have m(t)=0.2sin(w1*t) + 0.5cos(w2*t) ---> Note: the 1 and 2 besides "w" (omega) is not a coefficient, its a subscript to show that they are different.

I found the Fourier transform to be M(F)=0.25[∂(f-f2)+∂(f+f2)] + 0.1j[∂(f+f1)-∂(f-f1)].

My question is, how do I sketch the magnitude spectra of this?
 
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  • #2
| M(F) |=0.25[∂(f-f2)+∂(f+f2)] + 0.1[∂(f+f1)-∂(f-f1)].

Phase changes for sin and cos.

These can be better represented by phasor diagrams that you might have or will see soon.
 
  • #3
Thanks!
 

Related to Plotting the Spectrum of a DSB-C Signal

1. What is a DSB-C signal?

A DSB-C (Double Sideband with Carrier) signal is a type of amplitude modulation (AM) signal used in communication systems. It contains the original message signal, the carrier signal, and both upper and lower sidebands.

2. How is the spectrum of a DSB-C signal plotted?

The spectrum of a DSB-C signal can be plotted using a Fourier transform. This involves converting the signal from the time domain to the frequency domain, which allows us to see the amplitude and frequency components of the signal.

3. What information can be gathered from plotting the spectrum of a DSB-C signal?

Plotting the spectrum of a DSB-C signal can provide information about the frequency components present in the signal, such as the carrier frequency, the upper and lower sideband frequencies, and the bandwidth of the signal. It can also show the amplitude of each frequency component, which can be useful in analyzing the quality and strength of the signal.

4. What factors can affect the spectrum of a DSB-C signal?

The spectrum of a DSB-C signal can be affected by several factors, such as the amplitude and frequency of the original message signal, the carrier frequency, and any noise or interference present in the communication channel. Additionally, any filtering or modulation techniques used in the signal can also impact its spectrum.

5. How is a DSB-C signal used in practical applications?

A DSB-C signal is commonly used in radio and television broadcasting, as well as in telephone and data communication systems. It allows for efficient transmission of information over long distances and can be easily demodulated at the receiver to retrieve the original message signal.

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