而这样定义的单位脉冲函数是不确切的,例如由(5)知δ(t)=2δ(t),这样,(2)与(3)就不可能成立。 单位脉冲函数是广义函数,它不可能用(1)或(4)这样简单的形式来定义。 关于单位脉冲函数及地震记录道的振幅包络、瞬时相位、瞬时频率的有关性质和公式推导,可参看文献[1]与[2]。 However, the unit pulse function defined in this way is imprecise. For example, δ (t) = 2δ (t) is known from (5), so that (2) and (3) can not be satisfied. The unit pulse function is a generalized function that can not be defined in such a simple form as (1) or (4). See [1] and [2] for the properties and formulas for the pulse function of the unit and the amplitude envelope, the instantaneous phase and the instantaneous frequency of the seismic traces.