Howtosignalprocessing
- What is the impulse response of a system with input output relation?
- What is the relationship between input and output of an LTI system?
- How do you find impulse response from input and output?
- What is the impulse response of a discrete system?
What is the impulse response of a system with input output relation?
The function h[n] is called the impulse response of the system. It is the output (response) of the system when the input is a delta function (impulse).
What is the relationship between input and output of an 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 impulse response from input and output?
Given the system equation, you can find the impulse response just by feeding x[n] = δ[n] into the system. If the system is linear and time-invariant (terms we'll define later), then you can use the impulse response to find the output for any input, using a method called convolution that we'll learn in two weeks.
What is the impulse response of a discrete system?
The impulse response of a discrete-time system is defined as the response of a discrete-time system when the input is a delta pulse, thus x[n]=δ[n] x [ n ] = δ [ n ] .
