cross correlation of monotonic signal












0












$begingroup$


I have two monotonic signals and I want to calculate the time delay between them.
Say for example my signals are:



s1 = [1 2 3 4 5]
s2 = [2 3 4 5 6]



To me these appear to be monotonic signals, with s2 having a delay of 1. But if I perform a cross correlation, which in my understanding is taking the dot product as I shift one of the signals, then the delay is calculated to be 0. The dot product of the unshifted signals is 70, which is larger than the dot product as I shift one of these signals and zero pad. I'm sure I'm missing something basic here, I'm just trying to understand why a cross correlation would not work here? Or more specifically why it doesn't give me the result of a single delay?










share|cite|improve this question









$endgroup$

















    0












    $begingroup$


    I have two monotonic signals and I want to calculate the time delay between them.
    Say for example my signals are:



    s1 = [1 2 3 4 5]
    s2 = [2 3 4 5 6]



    To me these appear to be monotonic signals, with s2 having a delay of 1. But if I perform a cross correlation, which in my understanding is taking the dot product as I shift one of the signals, then the delay is calculated to be 0. The dot product of the unshifted signals is 70, which is larger than the dot product as I shift one of these signals and zero pad. I'm sure I'm missing something basic here, I'm just trying to understand why a cross correlation would not work here? Or more specifically why it doesn't give me the result of a single delay?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I have two monotonic signals and I want to calculate the time delay between them.
      Say for example my signals are:



      s1 = [1 2 3 4 5]
      s2 = [2 3 4 5 6]



      To me these appear to be monotonic signals, with s2 having a delay of 1. But if I perform a cross correlation, which in my understanding is taking the dot product as I shift one of the signals, then the delay is calculated to be 0. The dot product of the unshifted signals is 70, which is larger than the dot product as I shift one of these signals and zero pad. I'm sure I'm missing something basic here, I'm just trying to understand why a cross correlation would not work here? Or more specifically why it doesn't give me the result of a single delay?










      share|cite|improve this question









      $endgroup$




      I have two monotonic signals and I want to calculate the time delay between them.
      Say for example my signals are:



      s1 = [1 2 3 4 5]
      s2 = [2 3 4 5 6]



      To me these appear to be monotonic signals, with s2 having a delay of 1. But if I perform a cross correlation, which in my understanding is taking the dot product as I shift one of the signals, then the delay is calculated to be 0. The dot product of the unshifted signals is 70, which is larger than the dot product as I shift one of these signals and zero pad. I'm sure I'm missing something basic here, I'm just trying to understand why a cross correlation would not work here? Or more specifically why it doesn't give me the result of a single delay?







      linear-algebra vectors signal-processing correlation






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Dec 4 '18 at 18:24









      mashmash

      11




      11






















          0






          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%2f3025938%2fcross-correlation-of-monotonic-signal%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          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.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3025938%2fcross-correlation-of-monotonic-signal%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

          How to change which sound is reproduced for terminal bell?

          Can I use Tabulator js library in my java Spring + Thymeleaf project?

          Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents