Tutorial question

A digital filter is described by the expression

yn = 2xn - xn-1 + 0.8yn-1

  1. State whether the filter is recursive or non-recursive. Justify your answer.
  2. State the order of the filter.
  3. Derive the filter transfer function.
  4. The following sequence of input values is applied to the filter.

    x0 = 5
    x1 = 16
    x2 = 8
    x3 = -3
    x4 = 0
    x5 = 2

Determine the output sequence for the filter, from y0 to y5.

Answers

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