A discrete time linear shift-invariant system has...
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Signal processing

A discrete time linear shift-invariant system has an impulse response h[n] with h[0] = 1, h[1] = -1, h[2] = 2, and zero otherwise. The system is given an input sequence x[n] with x[0] = x[2] = 1 and zero otherwise. The number of nonzero samples in the output sequence y[n], and the value of y[2] are, respectively

  1. 5, 2
  2. 6, 2
  3. 6, 1
  4. 5, 3

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