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System properties e.g. causality/memory (Signals and Systems)

  1. Jun 30, 2011 #1
    1. The problem statement, all variables and given/known data

    Determine if the system y(t) = sin(x(t)) is time invariant, linear, causal, and/or memoryless.

    2. Relevant equations

    None.

    3. The attempt at a solution

    The system is time invariant and is non-linear, but I don't understand why it is causal and has memory.
     
  2. jcsd
  3. Jun 30, 2011 #2

    lewando

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    Gold Member

    How do you know this? Is the the answer? Do we know anything about x(t)?
     
  4. Jul 2, 2011 #3

    lewando

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    Gold Member

    The output, y(t), does not depend on future values of the input, x(t), so: causal. The output does not depend on past values of the input, so: no memory.
     
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