Howtosignalprocessing
- What is the output of LTI system?
- What is the input and output of LTI system?
- What is the output of system using LTI system properties?
- What is the output of LTI system with impulse response?
What is the output of LTI system?
The output of any LTI system can be calculated using the input and the impulse function for that system. Convolution has many important properties: Commutativity: x ( t ) ∗ h ( t ) = h ( t ) ∗ x ( t ) x(t) \ast h(t) = h(t) \ast x(t) x(t)∗h(t)=h(t)∗x(t)
What is the input and output of LTI system?
Input is a sequence of impulses (photons). Output is superposition of impulse responses (light). The response of an LTI system is completely characterized by its impulse response h(t).
What is the output of system using LTI system properties?
We saw that input/output properties of an LTI system are completely determined by the system's impulse response h(t). We also saw that the output y(t) = x(t) * h(t), that is, the output of the system is simply the convolution of the input with the system's impulse response.
What is the output of LTI system with impulse response?
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.
