Bandwidth of the baseband signal

In summary, the conversation discusses the use of Carson's rule to determine the bandwidth of a frequency modulated signal, represented by the equation \phi_{FM}(t) = Acos[2\pif_{c}t + k_{f}\int^{t}_{-\infty}m(\alpha)d\alpha]. It is mentioned that the message signal is m(t) = 10\picos(2\pif_{0}t) with f_{0} = 4kHz and the carrier signal is c(t) = 10cos(2\pif_{c}t) with f_{c} = 10MHz. The question is to determine the bandwidth of the baseband signal.
  • #1
thomas49th
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Homework Statement


Consider
[tex]\phi_{FM}(t) = Acos[2\pif_{c}t + k_{f}\int^{t}_{-\infty}m(\alpha)d\alpha][/tex]

where the message signal is [tex]m(t) = 10\picos(2\pif_{0}t) with f_{0} = 4kHz and the carrier is given by [tex]c(t) = 10cos(2\pif_{c}t)[/tex] with f_{c} = 10MHz. The bandwidth of
[tex]\phi_{FM}[/tex], using Carson's rule is 10kHz. Determine:

a) The bandwidth of the baseband signal

Homework Equations





The Attempt at a Solution


God Knows.
 
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  • #2
I've been trying to use the Carson Rule to solve this equation, but I'm not sure if I'm on the right track. Any help would be appreciated.
 

Related to Bandwidth of the baseband signal

What is the definition of bandwidth of the baseband signal?

The bandwidth of the baseband signal refers to the range of frequencies that are occupied by the baseband signal. It is typically measured in hertz (Hz) and represents the width of the spectrum of the signal.

How is the bandwidth of the baseband signal calculated?

The bandwidth of the baseband signal can be calculated by subtracting the lowest frequency component of the signal from the highest frequency component. For example, if a signal has a lowest frequency of 100 Hz and a highest frequency of 500 Hz, the bandwidth would be 400 Hz.

What is the relationship between bandwidth and data rate for baseband signals?

The bandwidth of the baseband signal is directly related to the data rate, or the speed at which data can be transmitted. A wider bandwidth allows for a higher data rate and a narrower bandwidth results in a lower data rate.

How does the bandwidth of the baseband signal affect signal quality?

The bandwidth of the baseband signal is a measure of the amount of information that can be transmitted. A wider bandwidth allows for more information to be transmitted, resulting in better signal quality. A narrower bandwidth may result in data loss or distortion of the signal.

Can the bandwidth of the baseband signal be increased or decreased?

The bandwidth of the baseband signal is determined by the characteristics of the signal itself and cannot be artificially increased or decreased. However, it can be limited by the transmission medium or by electronic devices, resulting in a narrower effective bandwidth.

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