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Answers for “为什么选择这个特定的函数进行傅里叶变换?”

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The rectangular pulse function, denoted as f(t)f(t), is defined piecewise. It takes the value 1 when the absolute value of tt is less than or equal to 1 (i.e., ∣t∣≤1|t| \le 1), and it takes the value 0 for all other values of tt (i.e., ∣t∣>1|t| > 1).

Conditions: tt is a real number.; The function is defined on the entire real line.