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Teddy_41811512-Amethyst
12-Amethyst
March 28, 2021
Solved

Fourier series example problem

  • March 28, 2021
  • 5 replies
  • 20518 views

Good day. 

 

I was hoping you could help me with my assignment on programming a fourier series analysis. 

 

Can someone teach me how to graph this on mathcad prime? I need to find the function that will replicate the attached file below. 

 

Your help would be much appreciated, since I am still learning from this software.

 

Thank you in advance and God Bless.

Best answer by ttokoro

From the help of Mathcad programming.

image.pngimage.pngimage.png

5 replies

F
Fred_Kohlhepp23-Emerald I
23-Emerald I
March 28, 2021

We'd love to help!

 

Please attach your Mathcad file so we can see what you have so far.

    -
    -MFra-21-Topaz II
    21-Topaz II
    March 28, 2021

    In the attached file you will find everything required and more.

    Sawtooth+sawtooth- sawtooth+-.jpg

      T
      Teddy_41811512-AmethystAuthor
      12-Amethyst
      March 28, 2021

      This examples would surely help me a lot in my future references. I am still learning a lot from this software. My professor introduced me to mathcad last 3 months and I am still trying to explore these things.

       

      I really appreciate your response for helping me. 

       

      Thank you.

      C
      Cornel19-Tanzanite
      19-Tanzanite
      March 28, 2021

      CornelBejan_0-1616938246896.png

       

      CornelBejan_2-1616938340674.png

       

       

        C
        Cornel19-Tanzanite
        19-Tanzanite
        March 28, 2021

        Mathcad Prime:

        CornelBejan_0-1616939578784.png

        CornelBejan_1-1616939598094.png

         

         

         

          L
          LucMeekes23-Emerald IV
          23-Emerald IV
          March 28, 2021

          Nice,

          but, how would you proceed if you had to extend it from -100, 100...

          There's a handy mathematical function, also available in Prime, that allows you to convert a running variable (like t is) to a short sequence..

          It is somewhat related to division. I'll spoil your assignment no further.

          Anyway, here is the result:

          LucMeekes_0-1616945452887.png

           

          Success!
          Luc

            T
            Teddy_41811512-AmethystAuthor
            12-Amethyst
            March 28, 2021

            Spoil me more, please. I am badly running out of time for my problem set. I really appreciate you for helping me out.

            ttokoro
            21-Topaz I
            ttokoro21-Topaz IAnswer
            21-Topaz I
            March 29, 2021

            From the help of Mathcad programming.

            image.pngimage.pngimage.png

            t.t.
              T
              Teddy_41811512-AmethystAuthor
              12-Amethyst
              March 29, 2021

              Can i verify the variables that you used?

              N is the maximum number of expansion

              L is the number of period

              Z is the final value of the series.

               

              If possible, elaborate it for me. Thank you so much.

              ttokoro
              21-Topaz I
              ttokoro21-Topaz I
              21-Topaz I
              March 29, 2021

              N is the maximum number of expansion: Yes.

              L is the number of period                        : L is the 1/2 of the period of the fundamental waveform, in your case L=2*pi.  

              Z is the final value of the series.             : Yes Real and Imaginary indexes from o to N.

               

              t.t.
                ttokoro
                21-Topaz I
                ttokoro21-Topaz I
                21-Topaz I
                March 30, 2021

                image.pngimage.pngimage.pngimage.pngimage.pngimage.pngimage.png

                t.t.
                ttokoro
                21-Topaz I
                ttokoro21-Topaz I
                21-Topaz I
                March 31, 2021

                image.pngimage.pngimage.pngimage.pngimage.pngimage.png

                t.t.
                  ttokoro
                  21-Topaz I
                  ttokoro21-Topaz I
                  21-Topaz I
                  April 4, 2021

                  image.pngimage.pngimage.pngimage.pngimage.png

                  t.t.
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