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Finite dimensionality of a Discrete time system.

  1. Aug 10, 2013 #1
    1. The problem statement, all variables and given/known data

    Determine the finite dimensionality of the following system:

    y[n] = nx[n]

    2. Relevant equations

    y[n]= f(y[n−1], y[n−2],..., y[n−N],x[n],x[n−1],..., x[n−M],n)

    Where N is how many dimensions the system has.

    3. The attempt at a solution

    I understand that the following system would be 1 dimensional.


    However, in the case of my question the output at time n is only a function of the input and not a function of the input and output at some shifted time. Does this mean that the system in question is infinite dimensional?

  2. jcsd
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