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If X(z) is the z-transform of the signal x(n) then what is the z-transform of a^n x(n) ?Group of answer choicesnoneX(az)X(a^-1z)X(az^-1)

Question

If X(z) is the z-transform of the signal x(n) then what is the z-transform of a^n x(n) ?Group of answer choicesnoneX(az)X(a^-1z)X(az^-1)

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Solution

The z-transform of a^n x(n) is X(a^-1z). This is because the z-transform of a sequence multiplied by a^n is equivalent to replacing z with a^-1z in the z-transform of the original sequence.

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