1 The z-transform

2 Commonly used z-transforms

  2.1 Unit impulse sequence (delta sequence)

  2.2 Unit step sequence

  2.3 The geometric sequence $\left\{a^n\right\}$

3 Linearity property and applications

  3.1 Linearity property

  3.2 Trigonometric sequences

4 Further $z$ -transform properties

  4.1 Multiplication of a sequence by $a^n$

  4.2 Multiplication of a sequence by $n$

5 Shifting properties of the z-transform

  5.1 Right shift theorems

  5.2 Left shift theorems