Sharpened Cosine Distance as an Alternative for Convolutions

Re:Sharpened Cosine Distance as an Alternative for Convolutions by karmakaze on Friday July 22, 2022 @12:58PM (#32194273)

The Sharpened Cosine Distance animation uses a different input. How would it respond to the reverse pattern in the input or the square pulse?

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Re:Sharpened Cosine Distance as an Alternative for Convolutions by frankus on Friday July 22, 2022 @03:32PM (#32196163)

This twitter thread (https://twitter.com/_brohrer_/status/1232063619657093120) delivers.

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Re:Sharpened Cosine Distance as an Alternative for Convolutions by meatmanek on Friday July 22, 2022 @02:02PM (#32195134)

Indeed. If the problem with convolution is that the rectangular pulse gives a stronger signal than the ramped pulses (which match the convolution kernel), then please show how sharpened cosine distance would behave differently in this problem case.

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Re:Sharpened Cosine Distance as an Alternative for Convolutions by nomel on Friday July 22, 2022 @03:42PM (#32196274)

I can't understand why they used completely different input signals as a comparison.

Is convolving using some sort of smooth derivative of each useful? Or, is that too sensitive to noise?

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