Free Printable Revision 1

1.

The z transform of

Z\left[1^n\right]

a)

$\frac{z}{z-1\ }$

b)

$\frac{z}{z+1}$

c)

$\frac{\left(z-1\right)}{z}$

d)

$\frac{\left(z+1\right)}{z}$

2.

The Z transform of

$Z\left[a^n\right]$

a)

$\frac{z}{z+a}$

b)

$\frac{z}{z-a}$

c)

$\frac{z^2}{z-a}$

d)

$\frac{z^2}{z+a}$

3.

The Z transform of

$Z\left[\left(-2\right)^n\right]$

a)

$\frac{z}{z-4_{ }}$

b)

$\frac{z}{z+4}$

c)

$\frac{z}{z-2}$

d)

$\frac{z}{z+2}$

4.

Z\left[f\left(n-n_{0\ }\right)\right]\ =\ z^{-n_0}\ Z\left[f\left(n\right)\right]

a)

True

b)

False

5.

$Z\left[af\left(n\right)+bg\left(n\right)\right]\ =\ aZ\left[f\left(n\right)\right]+bZ\left[g\left(n\right)\right]$

a)

False

b)

True

6.

$Z\left[a^{n\ }f\left(n\right)\right]\ =$

a)

$\overline{f\left(\frac{a}{z}\right)}$

b)

$\overline{f\left(\frac{z}{a}\right)}$

c)

$\overline{f\left(\frac{1}{z}\right)}$

d)

$\overline{f\left(\frac{1}{a}\right)}$

7.

$Z\left[10\right]$

a)

$\frac{10z}{z-1}$

b)

$\frac{z}{z-10}$

c)

$\frac{z}{10z-1}$

d)

$\frac{z}{10z-10}$

8.

$Z\left[10^n\right]$

a)

$\frac{10z}{z-1}$

b)

$\frac{z}{z-10}$

c)

$\frac{z}{10z-1}$

d)

$\frac{z}{10z-10}$

9.

$Z\left[n\right]$

a)

$\frac{z}{\left(z-1\right)^2}$

b)

$\frac{z}{\left(z-1\right)^{ }}$

c)

$\frac{1}{\left(z-1\right)^2}$

d)

$\frac{z^2}{\left(z-1\right)^2}$

10.

$Z\left[n^2\right]$

a)

$\frac{z\left(z+1\right)}{\left(z-1\right)^3}$

b)

$\frac{z\left(z-1\right)}{\left(z-1\right)^3}$

c)

$\frac{z\left(z+1\right)}{\left(z+1\right)^3}$

d)

$\frac{z^2\left(z+1\right)}{\left(z-1\right)^3}$

Revision 1

Total questions: 10

Worksheet time: 10mins

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