Types of Unit Step Signal
There are many types of unit step signals. A few of them are discussed below.
- Continuous Time Unit Step Signal
- Discrete-Time Unit Step Signal
- Shifted Unit Step Signal
- Ramp Signal
- Amplified Unit Step Signal
Continuous Time Unit Step Signal
The continuous time unit step is defined below and the graph of it is shown below.
f(t) = 1 ; for t>=0
f(t) = 0 ; for t<0
The below graph represents the unit step signal in a continuous time system
Discrete-Time Unit Step Signal
The discrete-time unit step is defined below and the graph of it is shown below.
f(n) = 1 ; for n>=0
f(n) = 0 ; for n<0
The below graph represents the unit step signal in a discrete-time system
Shifted Unit Step Signal
This shifted unit step signal is obtained by delaying or advancing the unit step signal in time. For example, u(t-a) is a unit delayed by ‘a’ units or u(t+a) is a unit advanced by ‘a’. The below graphs represent the shifted unit step signal.
Ramp Signal
signal is represented by r(t). A ramp signal is a continuous or discrete signal that grows linearly with time. In continuous time it is represented as r(t)=t*u(t). The below figure represents the graph of the ramp signal.
Amplified Unit Step Signal
The amplified unit step is represented as in the below expression.
Amplified unit step=A.u(t)
The below graph represents the amplified unit step signal.
Unit Step Signal in Control System
A Control System is a system which manages commands and regulates or directs the behaviour of other devices using control loops. A control system is a device which provides the desired response by controlling the output. A control system can also be defined as a system with a combination of mechanical or electronic devices that controls other devices or systems by way of a control loop is called as a control system. The below figure represents the simple block diagram of a control system.
Table of Content
- What is a Unit Step Signal?
- Types of Unit Step Signal
- Characteristics of Unit Step Signal
- Different Cases and Relationships of Unit Step Signal
- Applications of Unit Step Signal
- Advantages of Unit Step Signal
- Disadvantages of Unit Step Signal
A signal is a function of one or more independent variables that contain information. In a control system, signals play a crucial role in the analysis and design of the control system to achieve the desired performance and stability. Standard signals are impulse, step, ramp and parabolic. These standard signals are used to know the performance of the control system using the time response of the output. Now let us see the definitions and graphs of time response analysis and frequency response analysis of the control system.