Carsons rule, which bits go where?

  • Thread starter Mickydawg25
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In summary, to calculate the frequency deviation in this scenario, we use the formula Δf = 0.5CBR - fm, where CBR is the total bandwidth estimate of the FM signal (12kHz) and fm is the bandwidth of the message signal. The peak frequency deviation (Δf) depends on the amplitude of the message signal.
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Mickydawg25
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Homework Statement


calculate the frequency deviation using an approximate technique


Homework Equations


input analogue signal is 1.2kHz
min bandwidth to avoid over-sampling is 3.6kHz
signal transmitted over 1.1km with a 12kHz bandwidth on a FM carrier
Carrier freq is in the GSM reverse band at 875MHz


The Attempt at a Solution



Bandwidth requirement (CBR) =2(Δf + fm)
0.5CBR - fm= Δf = freq deviation

does CBR=12kHz and fm=875MHz?
Don't know what goes where
 
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Mickydawg25 said:
Bandwidth requirement (CBR) =2(Δf + fm)

CBR is the total bw estimate of the FM signal (12kHz)

fm is the bandwidth of the message signal

Δf is peak frequency deviation of the instantaneous FM frequency and depends on the amplitude of the message signal.
 
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1. What is Carson's rule?

Carson's rule is a mathematical formula that is used to determine the minimum number of bits needed to represent a given signal at a specific frequency. It takes into account the bandwidth and the signal-to-noise ratio of the signal.

2. How is Carson's rule calculated?

Carson's rule is calculated by multiplying the bandwidth of the signal by 2, and then adding the highest frequency component of the signal to the result. This value is then multiplied by 2 again and rounded up to the nearest whole number.

3. Why is Carson's rule important in signal processing?

Carson's rule is important in signal processing because it helps determine the minimum number of bits needed to accurately represent a signal, which in turn affects the quality of the signal. It is also used to determine the channel capacity, or maximum data rate, for a particular communication channel.

4. What are the limitations of Carson's rule?

Carson's rule is based on certain assumptions, such as a Gaussian distribution of noise and a linear modulation scheme. It may not be accurate for signals that do not meet these criteria. Additionally, it does not take into account the effects of interference and other factors that may affect the signal quality.

5. Can Carson's rule be applied to both analog and digital signals?

Yes, Carson's rule can be applied to both analog and digital signals. However, it is more commonly used for analog signals since digital signals have a fixed number of bits per symbol, making it easier to determine the minimum number of bits needed to represent the signal.

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