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Asked Mar 24, 2020
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1) Investigute if the following sysiams are memoryless „linezt,
time-învariant (TI), causal, and stallble
al ylnl=xCn-2)-2x ln-8) o) y Ca) =nx cn) ) y Cnl=x[unt)
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1) Investigute if the following sysiams are memoryless „linezt, time-învariant (TI), causal, and stallble al ylnl=xCn-2)-2x ln-8) o) y Ca) =nx cn) ) y Cnl=x[unt)

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Expert Answer

Step 1

a).

The system is:

Electrical Engineering homework question answer, step 1, image 1

1.

Memoryless:

A system is memoryless if the present output depends on the present input only.

This system depends on past inputs so it is a dynamic system.

All difference terms are corresponding to energy-storing elements so they are dynamic.

It is not a memoryless system.

2.

Linear:

Electrical Engineering homework question answer, step 1, image 2

The system follows Additivity and Homogeneity principal so it is a linear system.

Step 2

3.

Time-invariant:

Electrical Engineering homework question answer, step 2, image 1

It is a time-invariant system.

 

Step 3

4.

Causal:

The system only depends on present and past inputs so it is a causal system.

5.

Stable.

The system i...

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