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)
a).
The system is:
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:
The system follows Additivity and Homogeneity principal so it is a linear system.
3.
Time-invariant:
It is a time-invariant system.
4.
Causal:
The system only depends on present and past inputs so it is a causal system.
5.
Stable.
The system is stable because for bounded input it provides bounded output.
b).
The system is:
1.
Memoryless:
A system is memoryless if the present output depends on the present input only.
It is a memoryless or static system.
2.
Linear:
The system follows Additivity and Homogeneity principal so it is a linear system.
3.
Time-invariant:
It is a time-varient system.
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