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If X(z) is the z-transform of x(n), then what is the z-transform of interpolated signal v(m)?(a) X(zI)(b) X(z+I)(c) X(z/I)(d) X(zI)The question was asked in quiz.I'd like to ask this question from Interpolation by a Factor I topic in section Digital Filters Design of Digital Signal Processing

Answer»

Correct ANSWER is (d) X(zI)

EXPLANATION: By TAKING the z-transform of the signal v(m), we get

V(z)=\(\sum_{m=-∞}^∞ v(m)z^{-m}\)

=\(\sum_{m=-∞}^∞ x(m)z^{-mI}\)

= X(z^-I)



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