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With reference to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is the z-transform of x(n-k)? Group of answer choicesx(z+k)Zk X(z)x(z-k)Z-k X(z)

Question

With reference to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is the z-transform of x(n-k)? Group of answer choicesx(z+k)Zk X(z)x(z-k)Z-k X(z)

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Solution

The z-transform of x(n-k) is Z^-k X(z). This is due to the time shifting property of the z-transform, which states that a shift in the time domain corresponds to a multiplication by z^-k in the z-domain.

Similar Questions

If X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal x(-n)?Group of answer choicesX(-z)X(z^-1)X^-1(z)NoneNext

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)

As per the convolution property of z-transformGroup of answer choicesnonethe z-transform of convolution of two sequences is the product of their respective z-transforms.the z-transform of convolution of two sequences is the convolution of their respective z-transforms.the z-transform of convolution of two sequences is the addition of their respective z-transforms.

What is the formula for Z-transform of na)𝑧(𝑧+1)(z+1)z​ b)𝑧(𝑧−1)2(z−1) 2 z​ c)𝑧(𝑧+1)2(z+1) 2 z​ d)𝑧(𝑧−1)(z−1)z​

What is the z-transform of the signal x(n)=[3(2n)−4(3n)]u(n)𝑥(𝑛)=[3(2𝑛)−4(3𝑛)]𝑢(𝑛) ?Select one:a.3(1+2z−1)−4(1+3z−1)3(1+2𝑧−1)−4(1+3𝑧−1)b.3(1−2z−1)−4(1−3z−1)3(1−2𝑧−1)−4(1−3𝑧−1)c.3(1−2z)−4(1−3z)3(1−2𝑧)−4(1−3𝑧)d.None of the options

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