Find Eb/No : signal to noise ratio

In summary, the received signal level for a digital system is -151dBw and the receiver system effective noise temperature is 1500K. Using the equations C=Blog_2(1+SNR) and N=kTB, we can solve for E_b/N_o, which is equal to 12 dBW for a link transmitting 2400bps. The thermal noise for the system is calculated using the equation N=-228.6+10log1500+10log2400=-163.037dBW.
  • #1
bos1234
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Homework Statement


If the received signal level for a particular digital system is -151dBw and the receiver system effective noise temperatyre is 1500K, what is E_b/N_o for a link transmitting 2400bps?

solution says:
(Eb/N0) = –151 dBW – 10 log 2400 – 10 log 1500 + 228.6 dBW = 12 dBW

My attempt:
Im trying to use C=Blog_2(1+SNR) and N=kTB
But I have 3 variables and only 2 equations. B's will be canceled but N and SNR(E_b/N_o) are unknown
 
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  • #2
Thermal noise in Watt= kTb
Thermal noise in dBW(N)=10logk +10logT +10logb
N=-228.6+10log1500+10log2400=-163.037dBW
Eb/N0=S/kTb
(Eb/No)dB=S dBW -N dBW=-151 -(-163.037)
=12.03 dBW
 
  • #3
Rajeswari Rajasingh said:
Thermal noise in Watt= kTb
Thermal noise in dBW(N)=10logk +10logT +10logb
N=-228.6+10log1500+10log2400=-163.037dBW
Eb/N0=S/kTb
(Eb/No)dB=S dBW -N dBW=-151 -(-163.037)
=12.03 dBW
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1. What is Eb/No and why is it important in signal to noise ratio?

Eb/No stands for energy per bit to noise power spectral density ratio. It is a measure of the signal strength compared to the background noise level in a communication system. It is important in signal to noise ratio because it indicates the quality of the received signal and affects the overall performance of the system.

2. How is Eb/No calculated?

Eb/No can be calculated by dividing the signal energy per bit by the noise power spectral density. This can be done by measuring the power of the received signal and the noise level in the system.

3. What is the significance of Eb/No in digital communication systems?

In digital communication systems, Eb/No plays a crucial role in determining the bit error rate (BER). A higher Eb/No value results in a lower BER, indicating better signal quality and improved system performance. It is also used in the design and optimization of communication systems.

4. How does the Eb/No value affect the data transmission rate?

A higher Eb/No value allows for a higher data transmission rate, as it indicates a stronger signal and lower noise interference. This allows for more information to be transmitted within a given time frame, resulting in faster and more efficient communication.

5. How can Eb/No be improved in a communication system?

Eb/No can be improved by increasing the signal power or by reducing the noise level in the system. This can be achieved through various techniques such as using better quality components, optimizing the system design, and implementing error correction coding schemes.

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