topic Re: Fourier series example problem in Mathcad

Fourier series example problem

Teddy — Sun, 28 Mar 2021 12:42:19 GMT

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.

Re: Fourier series example problem

Fred_Kohlhepp — Sun, 28 Mar 2021 13:02:32 GMT

We'd love to help!

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

Re: Fourier series example problem

Cornel — Sun, 28 Mar 2021 15:22:14 GMT

Re: Fourier series example problem

Cornel — Sun, 28 Mar 2021 15:21:41 GMT

Mathcad Prime:

Re: Fourier series example problem

LucMeekes — Sun, 28 Mar 2021 15:54:39 GMT

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:

Success!
Luc

Re: Fourier series example problem

-MFra- — Mon, 29 Mar 2021 08:04:01 GMT

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

Re: Fourier series example problem

Teddy — Sun, 28 Mar 2021 16:55:35 GMT

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

Re: Fourier series example problem

Teddy — Sun, 28 Mar 2021 16:57:18 GMT

How can I use this if I want an infinite number of expansion? like if I use a multiple number of expression "n" so it will not be limited to 6pi?

I really appreciate your response for helping me.

Thank you.

Re: Fourier series example problem

Teddy — Sun, 28 Mar 2021 17:00:03 GMT

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.

Re: Fourier series example problem

Teddy — Sun, 28 Mar 2021 17:04:55 GMT

On the graphing stage, I do not have any idea on how I would graph it, but here is my file on my fourier series exam.

Re: Fourier series example problem

Teddy — Sun, 28 Mar 2021 17:11:16 GMT

Can I ask for a lower version of your mathcad prime? I can't open it. Thank you.

Re: Fourier series example problem

ttokoro — Mon, 29 Mar 2021 07:58:20 GMT

From the help of Mathcad programming.

Re: Fourier series example problem

Teddy — Mon, 29 Mar 2021 08:04:56 GMT

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.

Re: Fourier series example problem

ttokoro — Tue, 30 Mar 2021 07:48:44 GMT

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.

Re: Fourier series example problem

Teddy — Mon, 29 Mar 2021 08:20:23 GMT

I'm so amazed on how you can think of such programs.

I need to study more.

do you mind if I ask one more? what does res() does, and on the 3 variables on the functions that you gave (FC(f,N,L), can you explain them? What does the first, 2nd and 3rd variable does to the whole program.

I am having a hard time exploring this software. I hope you can enlighten me so I can use this on my research in the future.

Re: Fourier series example problem

Cornel — Mon, 29 Mar 2021 18:38:34 GMT

@ttokoro

I want to implement your variant for a square wave signal.
What is wrong with my implementation of your variant for a square wave?
What I am doing wrong?

Re: Fourier series example problem

LucMeekes — Mon, 29 Mar 2021 20:06:47 GMT

'It's a sin'...

In your definition of p(x) you've got cos in both terms under the sum.

The second should be sin

Success!
Luc

Re: Fourier series example problem

Cornel — Mon, 29 Mar 2021 20:11:30 GMT

Ah...
Yes, it works now...after correction.

Thank you for your remark and sight.

Re: Fourier series example problem

ttokoro — Tue, 30 Mar 2021 11:31:11 GMT

Re: Fourier series example problem

Cornel — Tue, 30 Mar 2021 12:58:15 GMT

@ttokoro, @LucMeekes, @-MFra-. @Fred_Kohlhepp, @Teddy

It would be interesting and nice, for those who want and have time, of course, to add other graphs in this topic (besides the one in the sawtooth and square wave signals), that can be used with @ttokoro functions to generate such graphs and calculate the corresponding Fourier series.