Can anyone enlighten me on what will happen for convolution of a wave with itself? Thanks in advance

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- Sep 25th 2010, 01:23 AMboredaxelConvolution of wave with self
Can anyone enlighten me on what will happen for convolution of a wave with itself? Thanks in advance

- Sep 26th 2010, 01:56 AMCaptainBlack
- Sep 26th 2010, 06:43 AMboredaxel
I imagined 2 square waves convoluting and I get a feeling that the result will be a smoother wave. Is that so? I couldnt imagine the convolution of sinuosoidal wave with itself. Its too confusing to me(Doh)

- Sep 26th 2010, 08:39 AMCaptainBlack
- Sep 26th 2010, 09:40 AMboredaxel
I know that the result is a triangular wave, that is why I said it seems to be a smoother wave. Therefore if it is really is a smoother wave, can I say that the convolution of other waves with itself will be a smoother wave? Or am I mistaken and the result is something else. Please enlighten me. I have given much thought to this and I am still lost

- Sep 26th 2010, 12:02 PMCaptainBlack
- Sep 29th 2010, 11:17 AMboredaxel
I am unfamiliar with the different convolutions you listed but from what I gathered from google, it seems that it should be circular convolution. The convolution that I learnt and am referring to for this question is the type where the convolution of 2 signal waveforms is the multiplication of their fourier transform. I hope that can clarify what you meant?