Howtosignalprocessing
- How is an LTI system characterized?
- Which signal is used to find the response of unknown system?
- How do I know my LTI system?
- How is an LTI system characterized in discrete time domain?
How is an LTI system characterized?
Any system in a large class known as linear, time-invariant (LTI) is completely characterized by its impulse response. That is, for any input, the output can be calculated in terms of the input and the impulse response.
Which signal is used to find the response of unknown system?
We can use the impulse signal to find the frequency characteristics of the unknown system used in Example 5.1.
How do I know my 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 is an LTI system characterized in discrete time domain?
Likewise, an LTI system can be noncausal, as can be seen in the following discrete-time system that computes the moving average of the input: The input–output equation indicates that at the present time n to compute y[n] we need a present value x[n], a past value x[n − 1], and a future value x[n + 1].
