Properties of Invertible System [closed]

1. What is the characteristics of invertible system?
2. How do you check if system is invertible or not?
3. What are meant by invertible system?

What is the characteristics of invertible system?

Invertibility and inverse systems: A system is called invertible if it produces distinct output signals for distinct input signals. If an invertible system produces the output ( ) for the input ( ), then its inverse produces the output ( ) for the input ( ): Examples of invertible systems: ( = 0 below.)

How do you check if system is invertible or not?

A system is invertible if distinct inputs lead to distinct outputs, or if an inverse system exists. That is, if we can get back the input or by passing the output or through another system, then the system is invertible, otherwise it is non-invertible.

What are meant by invertible system?

If a system has a unique relationship between its input and output, the system is called the invertible system. In other words, a system is said to be an invertible system only if an inverse system exists which when cascaded with the original system produces an output equal to the input of the first system.