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The $z$-transform $\mathrm{F}(z)$ of the function $f(n \mathrm{T})=a^{\prime \prime T}$ is

  1. $\frac{z}{z-a^{\mathrm{T}}}$
  2. $\frac{z}{z+a^{\mathrm{T}}}$
  3. $\frac{\mathrm{z}}{\mathrm{z}-\mathrm{a}^{-\mathrm{T}}}$
  4. $\frac{z}{z+a^{-T}}$
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