Solve Equation: ln(BER/2)=-rT?

  • Thread starter dervast
  • Start date
In summary, the conversation is about solving an equation involving exp(-rT) and ln(BER/2). The question is whether ln(BER/2)=-rT or ln(BER/2)=rT is the correct solution. The conversation also touches on the topic of using aln(x)=ln(x^a) and the speaker's research on noise measurement techniques. They also ask for help in finding a new equation for BER related to NF.
  • #1
dervast
133
1
Hi i need a little help with an equation

Ber=1/2*exp(-rT)
I want to solve it to -rT
Which of the following solutions is correct?
ln(BER/2)=-rT or
ln(BER/2)=rT
 
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  • #2
Neither...

First, exp(-rT)=2*Ber

I think you can do the rest and remember to show respect to that minus sign :smile:
 
  • #3
No i don't remember how to do it :(
What i know it that
exp(x)=theta
ln(theta)=x
 
  • #4
[tex]2B=e^{-rT}\implies ln(2B)=-rT[/tex]

If you want to go further...

[tex]aln(x)=ln(x^a)[/tex] can be used
 
  • #5
iam ph.d studentin electrical enginerring/USM/MALYSIA
Ihave some equestion
1-my research :new noise measurement techniques sing it error rate,iwant ask how make the relation ship betwen BER,NF LINERITY
2-CAN HELP ME FOR FIND NEW EQUATION OF BER RELATED TO NF
THANK U VERY MUCH FOR HELP ME
EKHLAS KADHUM
ekhlas_kadhum@yahoo.com
 

FAQ: Solve Equation: ln(BER/2)=-rT?

What does the equation ln(BER/2)=-rT represent?

The equation represents the relationship between the bit error rate (BER) and the time (T) it takes to transmit data, with a constant factor of r.

How is this equation used in scientific research?

This equation is commonly used in communication and information theory to calculate the bit error rate in communication systems and to optimize transmission time.

What is the significance of the natural logarithm (ln) in this equation?

The natural logarithm is used to represent the inverse relationship between the BER and the transmission time. It allows for a more accurate representation of the data as it takes into account the exponential nature of the relationship.

Can this equation be applied to any type of communication system?

Yes, this equation can be applied to any type of communication system as it is a fundamental relationship in communication and information theory.

How do I solve for one variable if all other values are known?

To solve for one variable, you can rearrange the equation and use algebraic methods to isolate the variable you want to solve for. Alternatively, you can use a calculator or computer program to find the numerical solution.

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