In this topic, you study the theory, derivation & solved examples for the Step response of the Linear Time-Invariant (LTI) System.
When the system is linear as well as time-invariant, then it is called a linear time-invariant (LTI) system.
Signals and Systems
Linear Time Invariant (LTI) System Impulse Response
In this topic, you study the theory, derivation & solved examples for the impulse response of the Linear Time-Invariant (LTI) System.
When the system is linear as well as time-invariant, then it is called a linear time-invariant (LTI) system. When the input to LTI system is unit impulse $\delta (t)$ then the output of LTI system is known as impulse response $h(t)$.
Invertible and Non Invertible Systems – Theory | Solved Examples
In this topic, you study the Invertible and Non Invertible Systems theory, definition & solved examples.
Let $x(t)$ and $y(t)$ be the input and output signals, respectively, of a system shown in Figure 1. Then the transformation of $x(t)$ into $y(t)$ is represented by the mathematical notation
Memory and Memoryless Systems – Theory | Solved Examples
In this topic, you study the Memory and Memoryless Systems theory, definition & solved examples.
Let $x(t)$ and $y(t)$ be the input and output signals, respectively, of a system shown in Figure 1. Then the transformation of $x(t)$ into $y(t)$ is represented by the mathematical notation
Static and Dynamic Systems – Theory | Solved Examples
In this topic, you study the Static and Dynamic Systems theory, definition & solved examples.
Let $x(t)$ and $y(t)$ be the input and output signals, respectively, of a system shown in Figure 1. Then the transformation of $x(t)$ into $y(t)$ is represented by the mathematical notation
Linear and Nonlinear Systems – Theory | Solved Examples
In this topic, you study the Linear and Nonlinear Systems theory, definition & solved examples.
Linear System
A system is called linear if it satisfies two properties
(i) Additivity
(ii) Homogeneity
Causal and Non Causal Systems – Theory | Solved Examples
In this topic, you study the Causal & Non-Causal Systems theory, definition & solved examples.
Let $x(t)$ and $y(t)$ be the input and output signals, respectively, of a system shown in Figure 1. Then the transformation of $x(t)$ into $y(t)$ is represented by the mathematical notation
Time Variant & Time Invariant Systems – Theory | Solved Examples
In this topic, you study the Time Variant & Time-Invariant Systems theory, definition & solved examples.
Let $x(t)$ and $y(t)$ be the input and output signals, respectively, of a system shown in Figure 1. Then the transformation of $x(t)$ into $y(t)$ is represented by the mathematical notation
Stable and Unstable Systems – definition | Solved Examples
In this topic, you study the Stable and Unstable Systems theory, definition & solved examples.
Let $x(t)$ and $y(t)$ be the input and output signals, respectively, of a system shown in Figure 1. Then the transformation of $x(t)$ into $y(t)$ is represented by the mathematical notation
Bounded and Unbounded Signals – definition | Solved Examples
In this topic, you study the Bounded and Unbounded Signals theory, definition & solved examples.
Bounded Signal
A continuous-time signal $x(t)$ having finite value at any instant of time is said to be bounded signal i.e. if $x(t) < M$ ; where $M$ is the finite value for all time $t$. The bounded signal example with $M=1$ shown in Figure 1.