Homework #9

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6 thoughts on “Homework #9

  1. Hi! for question 5, it says” choose the solution with y[n]=0 for n<0, does it mean we compute y[n] for n<0 and set it equal to 0? What's the significance of this? And also, I got the solution for all y0 for part (a). So shouldn’t I just obtain the solution for part (b) using the same method, why would I need the impulse response from part (a).
    Sorry about the confusion.. Thanks

    • For part(a) : using x[n]=\delta[n] you will end up with one unknown constant. Choose that constant so that y[n]=0 for all n<0.

      Why choose this solution? You can think of n as a time-type variable, and choosing the output y[n] that is zero (eg: where nothing happens) until the input x[n] is nonzero.

      For part(b) : Impulse responses are used the same way every time, whether its continuous variable or discrete.
      “Output = Impulse Response Convolved with Input”

      You can answer part(b) by plugging in x[n]=u[n], but that misses the point.

  2. For question 3c, is (1^n) / 2 and (1^n) / 3 meant to be (1/2)^n and (1/3)^n respectively?

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