Characteristics of unit impulse signal
- Unit impulse can be represented in both continuous time domain and discrete time domain.
- Area under the unit impulse signal is equal to one , this characteristic represent the energy or amplitude of the unit impulse signal to normalized to 1.
- By the derivation of unit step signal in continuous time domain we get the unit impulse signal. ([Tex]\frac{\mathrm{d} u(t)}{\mathrm{d} t} =\delta (t) [/Tex]).
- By the integration of the unit impulse signal will gives the unit step signal in continuous time domain. ( [Tex]\int_{-\infty }^{\infty }\delta (t) dt = u(t)[/Tex]).
- This unit impulse signal is orthogonal to all other signals , but it is not orthogonal to itself .
- At the point of concentration unit impulse signal has the amplitude that is equal to one.
- Arthimetic operations like addition in discrete time domain , multiplication in continuous time domiain , scaling , shifting can performed on unit impulse signal .
Unit Impulse Signal in Control System
In this article, we are going to learn about the unit impulse signal in control systems. We know that a signal is a source of information that varies with time, space, temperature, and other independent variables. We can also define a signal as a function that conveys information about a phenomenon or a process. There are two types of signals continuous time domain signals that are defined for every instant of time and discrete time domain signals that are defined for discrete time instants. Standard signals are the signals that are used to know the performance of the control systems using the time response of the output. These signals have the known form of the mathematical expression. Standard signals are impulse, step, ramp, parabolic, and sinusoidal. Unit impulse signal is also one of the standard signals. Let us now discuss about the impulse and unit impulse signal in detail.
Table of Content
- What is a Unit Impulse Signal?
- Types of unit impulse signal
- Properties of unit impulse signal
- Characteristics of unit impulse signal
- Applications of unit impulse signal
- Advantages of unit impulse signal
- Disadvantages of unit impulse signal