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Math Help - Sawtooth Period

  1. #1
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    Sawtooth Period

    Hey everyone. So we began looking at the fourier series in my class and well.. i guess i kind of understand it lol. I have to Calculate An and Bn (because it is non symmetrical) and plot this in MATLAB. However, in order to do all of that, i have to get the period and function to this sawtooth wave. I have a problem figuring out the period though.

    Sawtooth Period-1377030_10201562564280516_2147102613_n.jpg

    Starting from 0, I say it is a period of 2 (T=2), but it looks as if its a period of 3 because the cycle starts again at 3. That has me a little confused.
    I also have the function as:
    Sawtooth Period-1383358_10201562614041760_1680739731_n.jpg

    I could really use some help figuring this out! Thanks in advance!
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  2. #2
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    Re: Sawtooth Period

    Quote Originally Posted by MrCalzones View Post
    Hey everyone. So we began looking at the fourier series in my class and well.. i guess i kind of understand it lol. I have to Calculate An and Bn (because it is non symmetrical) and plot this in MATLAB. However, in order to do all of that, i have to get the period and function to this sawtooth wave. I have a problem figuring out the period though.

    Click image for larger version. 

Name:	1377030_10201562564280516_2147102613_n.jpg 
Views:	7 
Size:	72.5 KB 
ID:	29460

    Starting from 0, I say it is a period of 2 (T=2), but it looks as if its a period of 3 because the cycle starts again at 3. That has me a little confused.
    I also have the function as:
    Click image for larger version. 

Name:	1383358_10201562614041760_1680739731_n.jpg 
Views:	7 
Size:	26.7 KB 
ID:	29461

    I could really use some help figuring this out! Thanks in advance!
    The period T = 2 is close to the actual period. Can you refine it? Hint: It is not just the triangular shape
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  3. #3
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    Re: Sawtooth Period

    Hmm alright. Hey but what do you mean refine?

    I understand this:
    From 0 to 2 it goes up to y=2 and it drops to y=0 at 2 (the triangle is formed.) Then from 2 to 3 its stays at y=0.

    I assume my function is correct and all im missing that last part after it drops to 2. Right?
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  4. #4
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    Re: Sawtooth Period

    Quote Originally Posted by MrCalzones View Post
    Hmm alright. Hey but what do you mean refine?

    I understand this:
    From 0 to 2 it goes up to y=2 and it drops to y=0 at 2 (the triangle is formed.) Then from 2 to 3 its stays at y=0.

    I assume my function is correct and all im missing that last part after it drops to 2. Right?
    from 2 to 3 is the same as from -3 to -2. that interval is part of the period
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