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This is an old revision of this page, as edited by Cmglee (talk | contribs) at 02:03, 19 September 2014 (Done). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Convolution = Cross-correlation?

it seeems like the convolution example uses a different triangle shaped window from the top row to the lower rows... can anyone correct it?

The difference is intentional; in convolution, g(t) is horizontally flipped. That's what distinguishes it from cross-correlation. cmɢʟee 23:23, 17 July 2012 (UTC)[reply]

The cross-correlation is incorrect. According to the definition in the article, it should be reversed, making it look exactly like the convolution (this is consistent with the statement in the Properties section that "If f is Hermitian, then "). It looks like this diagram was made using a different convention from that in the article. --TSchwenn (talk) 23:56, 29 September 2012 (UTC)[reply]

I've done a bit of checking and still think that the graphic is correct.
For convolution, Fig 13-5 in [1] has similar f, g and f * g.
I couldn't find proper source for cross-correlation, but this video shows MATLAB giving the same result.
This video summarises the differences. cmɢʟeeτaʟκ 01:22, 19 September 2014 (UTC)[reply]
  1. ^ Steven W. Smith. "The Scientist and Engineer's Guide to Digital Signal Processing — Chapter 13: Continuous Signal Processing". Retrieved 19 September 2014. {{cite web}}: line feed character in |title= at position 38 (help)

Asymmetric function to illustrate autocorrelation

IMO it would be more informative if some non-symmetric function (for example g function instead of square f) were used tu illustrate autocorrelation. Marioosz (talk) 17:41, 17 January 2013 (UTC)[reply]

 Done cmɢʟeeτaʟκ 02:03, 19 September 2014 (UTC)[reply]