The symbol \(h\) represents the impulse response, the output signal of a system when exposed to an impulse. This encompasses both finite (FIR) and infinite (IIR) responses, characterizing the system's reaction to a specific, typically singular, input. The unit impulse response is a special case where the input is zero at all times except for one instant when it equals one, serving as a useful tool when trying to design and understand signal processing systems.
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