The impulse response of the discrete-time filter is expressed by its z transform function as:

\(H(z) = \frac{1-z^{-1}}{1+0.5z^{-1}} \)

the quotients of the impulse response values are:

1
 h(0) = 1, h(1) = -1.5, h(2) = -0.75, h(3) = 0.375
2
 h(0) = 1, h(1) = -1.5, h(2) = 0.75, h(3) = 0.375
3
 h(0) = 1, h(1) = -1.5, h(2) = 0.75, h(3) = -0.375
4
 h(0) = 1, h(1) = 1.5, h(2) = 0.75, h(3) = 0.375

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