title: How to calculate the shannon limit giving a error probability and a bits per second channel?
body: <p>It is not clear to me how to calculate the shannon limit given the following information:</p>
  <p>Bits per second of a transmission channel.</p>
  <p>Bit error rate.</p>
  <p>If I try it out it doesn't seem right, example:</p>
  <p>Information given:</p>
  <p>Transmission channel 8 bits per second.</p>
  <p>Error probability: 10 procent.</p>
  <p>Trying to plug this into shannon's formula gives:</p>
  <pre><code>I &lt; B * log2 (1 + (S / N) )
  
  B = 8 ?
  S = 8 ?
  B = 0.8 ?
  </code></pre>
  <p>Result:</p>
  <pre><code>I &lt; 8 * log2( 1 + (8 / 0.8) )
  I &lt; 8 * 3.4594316186372972561993630467258
  I &lt; 27.675452949098378049594904373806
  </code></pre>
  <p>What am I doing wrong?</p>