Howtosignalprocessing
Definition: The impulse response of a system is the output of the system when the input is an impulse, δ(t), and all initial conditions are zero. Definition: The step response of a system is the output of the system when the input is a step, H(t), and all initial conditions are zero.
- Why is step response and impulse response the same?
- How do you convert impulse response to step response?
- What is the difference between step response and transient response?
- What is the relationship between step and impulse signals *?
Why is step response and impulse response the same?
Because the step response has a discontinuity in it (i.e., a step), and the impulse response is simply the derivative of the step response, this causes an impulse function as part of the impulse response.
How do you convert impulse response to step response?
S = impulse2step( I , dt ) converts an impulse response I to a step response S , given the uniform sample interval dt .
What is the difference between step response and transient response?
After the step the circuit makes its adjustments. The time between the initial state and the final state is called the transient period. The adjustment the circuit makes is called the transient response. Since our input is a step, it is also called the step response.
What is the relationship between step and impulse signals *?
In discrete time the unit impulse is the first difference of the unit step, and the unit step is the run- ning sum of the unit impulse. Correspondingly, in continuous time the unit im- pulse is the derivative of the unit step, and the unit step is the running integral of the impulse.
