Z Transform from the Definition

 

Example 1: Causal Finite Duration Sequence 

Example 2: Delta Function δ(n) 

Example 3: Unit Step Function u(n) 

Example 4: Exponent 

Example 5: Cosine 

Example 6: Differentiation in Z 

Example 7: Convolution 

 

Example 1: Causal Finite Duration Sequence

 

Example 2: Delta Function δ(n)

 

Example 3: Unit Step Function u(n)

 

Example 4: Exponent

 

Example 5: Cosine

Applying the transformation rule for the exponents:

 

Example 6: Differentiation in Z

 

Example 7: Convolution