Simple double integration of square wave question

Finding Fourier coefficients for square wave
Finding Fourier coefficients for square wave

• #1
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Hi,
Simple question, sort of:
I see that according to the internet the mathematical description of a triangular wave is rather complex, so I’ll try to stay as far away from that as I can, because I’m a bit rusty.
I understand that if you integrate a square wave you get a triangular wave on the x-axis. But If you integrate that triangular wave you get something resembling a sineusoid. (something about it being the first harmonic of the triangular wave I believe)
My questions are: How close is that to a sine wave? What does it look like graphically? (I don’t have matlab)
Secondly, are there different slopes of triangular waves, including asymmetrical triangular waves, which are closer to a sine wave?
I am so rusty on Fourier transforms / series, it’s not funny. But regarding this:
http://mathworld.wolfram.com/FourierSeriesTriangleWave.html
I see the asymmetrical figure, which is kind of what I have in mind, but I’m not sure what the red sine wave is indicating.
Cheers

Simple question, sort of:

I see that according to the internet the mathematical description of a triangular wave is rather complex, so I’ll try to stay as far away from that as I can, because I’m a bit rusty.

I understand that if you integrate a square wave you get a triangular wave on the x-axis. But If you integrate that triangular wave you get something resembling a sineusoid. (something about it being the first harmonic of the triangular wave I believe)

My questions are: How close is that to a sine wave? What does it look like graphically? (I don’t have matlab)

Secondly, are there different slopes of triangular waves, including asymmetrical triangular waves, which are closer to a sine wave?

I am so rusty on Fourier transforms / series, it’s not funny. But regarding this:

http://mathworld.wolfram.com/FourierSeriesTriangleWave.html

I see the asymmetrical figure, which is kind of what I have in mind, but I’m not sure what the red sine wave is indicating.

Cheers

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