Chap 7 & 8 Online Revision Tutorial (Concise).pdf

Chapters 7 & 8 – Online Revision Tutorial (Concise/Moderate/ Detailed)

1

1 System Block Diagram ↔ Difference Equation
1.1 System Block Diagram → Difference Equation
1.1.1 Worked Example
Example 1
What is the difference equation of the system?
0.5

Z -1

−0.7

Z -1

0.2

Solution

𝑦𝑦(𝑛𝑛) = 0.5𝑥𝑥(𝑛𝑛) − 0.7𝑥𝑥(𝑛𝑛 − 1) + 0.2𝑥𝑥(𝑛𝑛 − 2)
Explanation

Example 2
What is the difference equation of the system?
Z -1

3

Solution

Z -1

0.5

−0.1

𝑦𝑦(𝑛𝑛) = 3𝑥𝑥(𝑛𝑛) + 0.5𝑥𝑥(𝑛𝑛 − 1) − 0.1𝑥𝑥(𝑛𝑛 − 2)
Explanation
