Is system $h(t) = u(t)-u(t-1)$ LTI or not?

1. How do I know if my signal is LTI?
2. Is a system LTI?
3. How do you find the LTI system is stable or not?
4. What are the condition for a system to be LTI?

How do I know if my signal is LTI?

A signal x[n] is causal if and only if x[n] = 0 for all n < 0. x[n] is causal if and only if x[n]u[n] = x[n] (think about it). An LTI system is causal if and only if its impulse response h[n] is causal. All real-world systems are causal; otherwise they could see into the future!

Is a system LTI?

Linear time-invariant systems (LTI systems) are a class of systems used in signals and systems that are both linear and time-invariant. Linear systems are systems whose outputs for a linear combination of inputs are the same as a linear combination of individual responses to those inputs.

How do you find the LTI system is stable or not?

Time Domain Condition for the Stability of LTI Discrete-Time Systems. For a system, when the bounded input sequence always produces a bounded output sequence, then the system is said to be stable system.

What are the condition for a system to be LTI?

Also, the causality condition of an LTI system reduces to h(t) = 0 ∀t < 0 for the continuous time case and h(n) = 0 ∈n ≤ 0 for the discrete time case. Similarly, the strictly causality condition of an LTI system reduces to h(t) = 0 ∀t ≤ 0 for the continuous time case and h(n) = 0 ∀n ≤ 0 for the discrete time case.