Analog Systems
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Discrete Convolution
In linear time-invariant (LTI) systems, the input \(x[n]\) and impulse response \(h[n]\) can be interchanged mathematically due to the commutative property of discrete convolution.
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Continuous Convolution
In linear time-invariant (LTI) systems, the input \(x(t)\) and impulse response \(h(t)\) can be interchanged mathematically due to the commutative property of convolution.
The convolution method for finding the zero-state response \(y(t)\) of a system to an input \(x(t)\) applies to linear time-invariant (LTI) systems. The system is assumed to be described by its impulse response \(h(t)\).