Digital modulation and RF bandwidth

In summary, the limiting factors that prevent the invention of a custom digital modulation scheme with significantly reduced RF bandwidth are the trade-offs between information rate, channel bandwidth, and noise. Additionally, practical considerations and Shannon's channel capacity formula show that reducing bandwidth may require increasing transmit power, but this trade-off is not efficient due to the logarithmic function.
  • #1
dnyberg2
125
2
Why isn't it possible to invent a custom digital modulation scheme that would use much less RF bandwidth than all the schemes available? What are the limiting factors that do not allow for high data rates to be coded so that the occupied bandwidth is much less than all the others like ASK, PSK, MSK OOK etc...
 
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  • #2
Look up "channel capacity" on the Internet.
Roughly summarizing you are trading between three things:
1 - information rate
2 - channel bandwidth
3 - noise

You can reduce channel bandwidth if you reduce noise, accept lower information rate, or both.
Note that "information rate" is not the same as bit rate.
There are also practical considerations. It is rarely possible to actually achieve reliable operation right at the channel capacity because it would require too much coding complexity.
 
  • #3
Shannon showed that the capacity of a band-limited communication channel with AWGN is
[tex]C=Wlog_2(1+\frac{P}{N_0W})[/tex]
where W is the channel bandwidth, P is the signal power and N0 is noise power spectral density. Reducing the bandwidth requires increasing transmit power to keep capacity the same, but the logarithmic function makes it very painful to do this.
 

1. What is digital modulation?

Digital modulation is the process of converting digital signals, which consist of discrete values, into analog signals, which are continuous in nature. This is achieved by varying the amplitude, frequency, or phase of the analog carrier signal to represent the digital data.

2. What are the advantages of digital modulation over analog modulation?

Digital modulation offers higher data rates, better signal quality, and increased resistance to noise and interference compared to analog modulation. It also allows for more efficient use of bandwidth and supports advanced signal processing techniques.

3. How does the choice of digital modulation scheme affect the RF bandwidth?

The RF bandwidth is directly affected by the type of digital modulation used. For example, higher order modulation schemes, such as QAM, require a wider bandwidth compared to simpler schemes like ASK or FSK. The bandwidth also depends on the data rate and the channel conditions.

4. What is the relationship between digital modulation and RF bandwidth?

The choice of digital modulation scheme determines the complexity and bandwidth requirements of the RF system. Higher order modulation schemes provide higher data rates but require more bandwidth, while simpler schemes have lower data rates but require less bandwidth.

5. How is RF bandwidth related to the channel capacity?

The channel capacity, which is the maximum data rate that can be transmitted over a channel without errors, is directly proportional to the RF bandwidth. This means that the wider the bandwidth, the higher the channel capacity and the more data that can be transmitted within a given period of time.

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