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Trying to identify if the system below is recursive or not, I would think a recursive system present output value would depend of a past output and not on a present output value.

Is

$$Y[n] = X[n] - Y[n] $$

a recursive system?

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    $\begingroup$ Do you need past outputs to compute the current output? $\endgroup$
    – Matt L.
    Commented May 31, 2017 at 18:15
  • $\begingroup$ No just the current outputs as feedback to compute current output. $\endgroup$
    – Didi
    Commented May 31, 2017 at 19:06
  • $\begingroup$ Well, then there is no feedback; you can't use the current output to compute the current output, right? $\endgroup$
    – Matt L.
    Commented May 31, 2017 at 20:05

1 Answer 1

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No, it can be rewritten as $y[n] = x[n]/2$. Basically, the output is the input divided by 2...

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