Exercise · ZW-LINEAR-TIME-INVARIANT-SYSTEMS-001 · ★☆☆ Basic
Which of these properties is required for a system to be LTI?
Choose one option.
Show answer
- B. Superposition
Explanation
Linearity is defined by superposition, which is one of the two properties that define an LTI system. Causality and stability are additional properties that do not define the LTI class.
Review the concept: Linear time-invariant systems
A linear time-invariant (LTI) system is a system that satisfies superposition and whose behavior does not change when the input is shifted. It is determined by its impulse response \(h[n]\).
\[y[n]=\sum_{k=-\infty}^{\infty} x[k]\,h[n-k]\]
More practice problems: linear time-invariant systems
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