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# standard signal.pptx

Type of standard signal

Type of standard signal

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### standard signal.pptx

1. 1. ANJUMAN COLLAGE OF ENGINEERING AND TECHNOLOGY Subject :- Signal And System STANDARD SIGNAL Created By: Sultan Ali Javed Ali (02) Guided By: Mohsina Anjum Group 1:- Roll.no.( 1 to 5)
2. 2. Introduction  In time domain analysis the response of a dyna mic sytem to an input is expressed as a function of time.  It is possible to compute the time response of a system if the nature of input and the mathematical model of the system ]are known.  Usually, the input signals to controls system are not known fully ahead of time.  For example, in a radar tracking system , the position and the speed of the target to be tracked may vary in a random fashion.
3. 3. STANDARD TEST SIGNAL  The characteristics of actual input signals are a sudden shock, a sudden change, a constant velocity and constant acceleration.  The dynamic behavior of a system is therefore judged and compared under application of standard text signals , an impluse, a step, a constan velocity and constant acceleration.  Another standard signal of great importance is a sinusoidal signal.
4. 4. Some Types of Standard Signal :- 1. Unit Step function Signal 2. Unit Ramp function Signal 3. Unit Parabolic function Signal 4. Unit Impulse function Signal 5. Sinusoidal Signal 6. Exponential Signal
5. 5. • The unit step signal which is defined for every instant of time is known as continuous-time unit step signal. The continuous-time unit step signal is denoted by u(t). • Mathematically, the continuous-time unit step signal u(t) is defined as follows: 1). Unit Step function Signal :- u(t)={ 1 for t≥0 { 0 for t<0
6. 6. • The continuous-time unit ramp signal is that function which starts at 𝑡 = 0 and increases linearly with time. It is denoted by r(t). • Mathematically, the continuous-time unit ramp signal is defined as follows : 2). Unit Ramp function Signal :- r(t)= { t for t≥0 {0 for t<0
7. 7. • The continuous-time unit parabolic signal is a unit parabolic signal which is defined for every instant of positive time. It is denoted by p(t). • Mathematically, the continuous-time unit parabolic signal is defined as follows : 3). Unit Parabolic function Signal:- p(t)= {
8. 8. • An ideal impulse signal is a signal that is zero everywhere but at the origin (t = 0), it is infinitely high. Although, the area of the impulse is finite. The unit impulse signal is the most widely used standard signal used in the analysis of signals and systems. • The continuous-time unit impulse signal is denoted by δ(t) and is defined as: 4). Unit Impulse Signal :-
9. 9. • A sinusoidal signal which is defined for every instant of time is called continuous- time sinusoidal signal. 𝑥(𝑡) = 𝐴 sin(𝜔𝑡 + 𝜑) • A sinusoidal signal which is defined only at discrete instants of time is called discrete- time sinusoidal signal 𝑥(n) = 𝐴 sin(𝜔n + 𝜑) 5). Sinusoidal Signal :-
10. 10. • A real exponential signal which is defined for every instant of time is called continuous time real exponential signal. A continuous time real exponential signal is defined as follows: 𝑥(𝑡) = 𝐴𝑒𝛼𝑡 • A real exponential signal which is define at discrete instants of time is called discrete-time real exponential signal or sequence. A discrete-time real exponential sequence is defined as : 𝑥(n) = 𝐴𝑒𝛼n 6). Exponential Signal :-
11. 11. Thanking You...