Chapter 14
Linear Time- Invariant Systems
Linear time-invariant Systems
A system is linear if it displays the characteristics of homogeneity and additivity, together termed as the superposition property, a principle observed ...
Impulse Response
The impulse response is the system's reaction to an input impulse.
In an RC circuit, the voltage source is the input, and the capacitor's voltage ...
Convolution: Math, Graphics, and Discrete Signals
In any LTI system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero.
The convolution ...
Convolution Properties I
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse ...
Convolution Properties II
The important convolution properties are width, area, differentiation, and integration properties.
The width property indicates that if the durations of ...
Deconvolution
The system's impulse response can be utilized to determine the output response through input signal and impulse response convolution.
Acquiring this ...
BIBO stability of continuous and discrete -time systems
The stability of systems can be ascertained using convolution.
If an input signal has a constant that ensures that the signal's modulus never exceeds ...
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