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Timeline for An invertible system with memory

Current License: CC BY-SA 4.0

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Oct 12, 2020 at 23:45 vote accept S.H.W
Oct 11, 2020 at 20:19 answer added Laurent Duval timeline score: 1
Oct 11, 2020 at 12:27 comment added S.H.W @fibonatic I've added some details. Please take a look at it.
Oct 11, 2020 at 12:26 history edited S.H.W CC BY-SA 4.0
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Oct 11, 2020 at 12:15 comment added fibonatic I assume that invertible also means that both are causal? So I think you would be limited to transfer functions with the same order in the numerator as denominator.
Oct 9, 2020 at 22:47 comment added MBaz Yeah, it's not an uncommon definition. I still disagree with it.
Oct 9, 2020 at 18:40 comment added S.H.W @MBaz Actually it's the definition which Oppenheim's book gives. I agree it seems unnatural.
Oct 9, 2020 at 18:37 comment added MBaz Well, I don't agree with that definition. Seeing into the future is not "memory", it is "non-causality".
Oct 9, 2020 at 18:35 comment added S.H.W @MBaz "A system is said to be memoryless if its output for each value of the independent variable at a given time is dependent only on the input at that same time." This is the definition which I'm using. So time advance have memory.
Oct 9, 2020 at 18:33 comment added S.H.W @MBaz Thanks. I've seen that. My question is more general. Also there are many answers in that link which really confuses me.
Oct 9, 2020 at 18:27 comment added MBaz The inverse of a time delay is a time advance, right? Does the time advance have memory?
Oct 9, 2020 at 18:21 comment added MBaz Regarding the memory of the differentiator, see dsp.stackexchange.com/questions/58533/…
Oct 9, 2020 at 14:59 history edited lennon310 CC BY-SA 4.0
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Oct 9, 2020 at 13:45 history asked S.H.W CC BY-SA 4.0