Lab 9 ex 3

Hello,
regarding ex.3 it's not clear to me why the final answer ( penultimate step ) is equivalent to soft thresholding. I understand the equivalence in the case \(b>a\), why is it also true in the other cases?
Thank you.

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Hi, sorry for the late reply.

Scannable Document on 1 Jul 2021 at 11_31_39.jpg

Hope this helps if you didn't figure it out yet.

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