How to determine the maximum bit rate that can be sent given a bit error probability?












0















A bipolar binary signal, $s_i(t)$ is a $+1$ or $-1$ V pulse during the interval $(0,T).$ Additive white Gaussian noise with a two-sided power spectral density of $10^{-3}$ W/Hz is added to the signal.
If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability of $P_b le 10^{-3}.$




Some help with this problem would be greatly appreciated.










share|cite|improve this question





























    0















    A bipolar binary signal, $s_i(t)$ is a $+1$ or $-1$ V pulse during the interval $(0,T).$ Additive white Gaussian noise with a two-sided power spectral density of $10^{-3}$ W/Hz is added to the signal.
    If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability of $P_b le 10^{-3}.$




    Some help with this problem would be greatly appreciated.










    share|cite|improve this question



























      0












      0








      0








      A bipolar binary signal, $s_i(t)$ is a $+1$ or $-1$ V pulse during the interval $(0,T).$ Additive white Gaussian noise with a two-sided power spectral density of $10^{-3}$ W/Hz is added to the signal.
      If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability of $P_b le 10^{-3}.$




      Some help with this problem would be greatly appreciated.










      share|cite|improve this question
















      A bipolar binary signal, $s_i(t)$ is a $+1$ or $-1$ V pulse during the interval $(0,T).$ Additive white Gaussian noise with a two-sided power spectral density of $10^{-3}$ W/Hz is added to the signal.
      If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability of $P_b le 10^{-3}.$




      Some help with this problem would be greatly appreciated.







      probability






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Nov 27 '18 at 21:03

























      asked Nov 27 '18 at 20:48









      Fausty the Snowman

      13




      13



























          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016277%2fhow-to-determine-the-maximum-bit-rate-that-can-be-sent-given-a-bit-error-probabi%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.





          Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


          Please pay close attention to the following guidance:


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016277%2fhow-to-determine-the-maximum-bit-rate-that-can-be-sent-given-a-bit-error-probabi%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Bundesstraße 106

          Verónica Boquete

          Ida-Boy-Ed-Garten