An impulse signal is a mathematical function that represents a sudden, short-duration event, typically modeled as a spike at a single point in time. This signal is crucial in analyzing linear time-invariant systems, as it serves as an input to determine the system's response, known as the impulse response. Impulse signals allow for the representation of complex signals through superposition and are pivotal in the context of Z-transforms, where they facilitate the conversion of discrete-time signals into the Z-domain for easier manipulation and analysis.
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