Signals & System Lecture 8

Main note

Refer Signals & System Lecture 7

Static v/s Dynamic

Static

A system where present output depends only present input is called static systems. Also called non memory system.

Dynamic

A system where present output depends on present input along with other input ( Past and Future ) such system are called Dynamic System.

Stable v/s Non-stable ( Unstable )

Stable

A system which obeys fundamental principle BIBO where it states that if we apply bounded input $X(t)orx(n)<\infty$ Then it produces bounded output then such system is said to be stable system

Non-stable

A system which does not obey principle BIBO where it states that if we apply bounded input. Then it produces / does not produce a bounded output then such system is said to be unstable system.

BIBO

Bounded input produces Bounded output

Questions

Question 1

Check whether the givens system is static or dynamic.

$y(t-1)=x(t-1)+x(t-1).cos(t-1)$

Since all arguments of I/P and O/P terms are identical the system is non memory

Question 2

$y(n-1)=x(n-1)+x(n-1).cos(n)$

References

Information

• date: 2024.08.08
• time: 09:08