Expand the target as a geometric series: H=1+.5z⁻¹+.25z⁻²+.125z⁻³+⋯. The first delayed coefficient in the diagram is α², so α²=.5 and positive α=1/√2, B. Higher tap weights then match automatically as powers of .5. Although the source calls it an infinite-tap FIR, the infinite-duration response is ordinarily described as IIR.
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