System

Understanding LTI systems graphically

Understanding LTI systems graphically
  1. How do you determine LTI system?
  2. What do you mean by a LTI system explain with an example?
  3. How do you determine if an LTI system is stable?

How do you determine LTI system?

A linear time-invariant (LTI) system can be represented by its impulse response (Figure 10.6). More specifically, if X(t) is the input signal to the system, the output, Y(t), can be written as Y(t)=∫∞−∞h(α)X(t−α)dα=∫∞−∞X(α)h(t−α)dα.

What do you mean by a LTI system explain with an example?

Any system that can be modeled as a linear differential equation with constant coefficients is an LTI system. Examples of such systems are electrical circuits made up of resistors, inductors, and capacitors (RLC circuits).

How do you determine if an LTI system is stable?

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.

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