Howtosignalprocessing
- How do you find the impulse response of a causal system?
- How do you find the impulse response of a causal LTI system?
- Where can I find response of LTI system?
- How do you find the causal system?
How do you find the impulse response of a causal system?
For a causal system, the impulse response of the system must use only the present and past values of the input to determine the output. This requirement is a necessary and sufficient condition for a system to be causal, regardless of linearity. Note that similar rules apply to either discrete or continuous cases.
How do you find the impulse response of a causal LTI system?
The impulse response for an LTI system is the output, y ( t ) y(t) y(t), when the input is the unit impulse signal, σ ( t ) \sigma(t) σ(t). In other words, when x ( t ) = σ ( t ) , h ( t ) = y ( t ) .
Where can I find response of 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.
How do you find the causal system?
A causal system is the one in which the output y(n) at time n depends only on the current input x(n) at time n, and its past input sample values such as x(n − 1), x(n − 2),…. Otherwise, if a system output depends on the future input values such as x(n + 1), x(n + 2),…, the system is noncausal.
