Interval-excitation through impulse sequences. A technical lemma

We present a technical lemma that establishes, in a general framework, an interval-excitation property using a specific class of impulse sequences. According to such an interval-excitation property, an impulse applied within a time interval generates excitation within the same interval. This property does not hold for arbitrary exciting sequences. The lemma is a unified statement of previous results corresponding to particular choices of the exciting sequence.

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