Solving Shannon's Equation: 40-45 kbps

[roughtenator]

Homework Statement

Question 1: Using a computer and whatever language to compute the capacity of the following AWGN channel.


My attempt at the problem...
I used Matlab to try to numerically integrate

y=
@(x)0.3*log2(1+100/0.3*x)
c1 = quad(y,0,.3)
c1 =0.4754
y2 = @(x)0.7*log2(1+1900/0.7*x−719.29)
c2 = quad(y2,.3,1)
c2 = 4.7733
c3 = 2*log2(1+2000)
c3 =21.9330
y3 = @(x)1*log2(1+(−2000/1*x+8000))
c4 = quad(y3,3,4)
c4 =9.5293
c = c1 + c2 + c3 + c4
c=36.7110

this is incorrect though because my professor says that the answer is between 40 and 45 kbps

 

[Valkarie]

.Homework Equations The formula for channel capacity is C=B*log2(1+SNR) where B is the bandwidth and SNR is signal to noise ratio. The Attempt at a Solution I used Matlab to try to numerically integrate the equation given above. I tried using quad() function to integrate the equation but it did not give me the correct answer. I am not sure what else I can do to solve this problem.

 

[Mene]

.

I would first verify the accuracy of the given information and equations used in this attempt. It is important to ensure that the equations are applicable to the given problem and that the values used are correct.

Next, I would suggest trying alternative methods to solve the problem, such as using different equations or approaches. It may also be helpful to consult with peers or experts in the field to gain further insight and potentially identify any errors.

Additionally, I would recommend double-checking the units and conversions used, as any discrepancies can lead to incorrect results.

It is also important to consider any assumptions made in the solution and their impact on the final result. These assumptions should be clearly stated and their validity should be evaluated.

Overall, solving complex equations such as Shannon's equation requires attention to detail and careful consideration of all factors involved. With proper verification and thorough analysis, the correct answer can be obtained within the given range of 40-45 kbps.