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


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

2

Example 3
Derive the difference equation of the system.
0.2

Z -1

Z -1

Z -1

0.5

0.6

−1.5

Z -1

Solution

𝑦𝑦(𝑛𝑛) = 0.2𝑥𝑥(𝑛𝑛) + 𝑥𝑥(𝑛𝑛 − 1) + 0.6𝑥𝑥(𝑛𝑛 − 2) + 0.5𝑦𝑦(𝑛𝑛 − 1) − 1.5𝑦𝑦(𝑛𝑛 − 2)
Explanation

Example 4
What is the difference equation of the system?

Z -1

Z -1

Solution

0.6

−0.3

Z -1

−0.1

𝑦𝑦(𝑛𝑛) = 𝑥𝑥(𝑛𝑛) + 0.6𝑥𝑥(𝑛𝑛 − 1) − 0.1𝑥𝑥(𝑛𝑛 − 2) − 0.3𝑦𝑦(𝑛𝑛 − 1)
Explanation
