Is the inverse of a causal system also causal?

(b) The inverse of a causal LTI system is always causal. (c) If for each n , where K is a given number, then the LTI system with as its impulse response is stable.

1. Is inverse of a causal system always causal?
2. What is inverse of a system?
3. Can a system be both causal and non causal?

Is inverse of a causal system always causal?

(b) The inverse of a causal LTI system is always causal.

What is inverse of a system?

In words, the inverse system can be described as follows. The original system transforms an input signal u into an output signal y. This transformation depends on the initial state vector x(0) of the system at time 0. The inverse system retrieves u from y if a suitable initial state (0) is chosen.

Can a system be both causal and non causal?

In contrast, the output signal of a noncausal system depends on one or more future values of the input signal. All physically realizable systems are causal. Note that all memoryless systems are causal, but not vice versa.