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2. Look at the example on slide #8 (which was explained in the video). Find the z-transform of the right-sided signal x[n] = 2 (3)$^n$u[n] Use the following z-transform pair: x[n] = a$^n$u[n] $\leftrightarrow$ X(z) = $\frac{z}{z - a}$ ROC: $|z| > |a|$ Plot any poles and zeros. Shade in the ROC.

          2. Look at the example on slide #8 (which was explained in the
video). Find the z-transform of the right-sided signal
x[n] = 2 (3)$^n$u[n]
Use the following z-transform pair:
x[n] = a$^n$u[n] $\leftrightarrow$ X(z) = $\frac{z}{z - a}$ ROC: $|z| > |a|$
Plot any poles and zeros. Shade in the ROC.
        
Show more…
2. Look at the example on slide #8 (which was explained in the
video). Find the z-transform of the right-sided signal
x[n] = 2 (3)^nu[n]
Use the following z-transform pair:
x[n] = a^nu[n] ↔ X(z) = (z)/(z - a) ROC: |z| > |a|
Plot any poles and zeros. Shade in the ROC.

Added by Albert L.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Look at the example on slide #8 (which was explained in the video). Find the z-transform of the right-sided signal x[n] = 2(3)u[n]. Use the following z-transform pair: Z{x[n] = a"u[n]} > X(z) = z - a ROC: |z| > |a| Plot any poles and zeros. Shade in the ROC.
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Transcript

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00:01 So, in this question we need to find the z transform of x as a function of n.
00:12 Right, so x as a function of n is equal to 1 divided by 5 raised to the power n multiplied by n as a function of n minus 3.
00:29 So when we will solve this, we can say that 1 divided by 5 raised to the power n and as a function of n is going through the z transformation that will be equal to 1 divided by 1 minus 1 divided by 5 multiplied by x raised to the power minus 1.
00:52 If we calculate for n minus 3, if it is going through the z transformation that will be equal to z raised to the power minus 3 divided by 1 minus 1 divided by 5 multiplied by x raised to the power minus 1.
01:15 So from here what we can say that 1 divided by 5 raised to the power 5 multiplied by 1 divided by 5 raised to the power n, n as a function of n minus 3 is going through the z transformation...
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