difference function of H(z)应该怎么求?
时间: 2024-03-26 19:36:46 浏览: 52
H(z)的差分方程是:
H(z) = Y(z) / X(z)
其中,X(z)和Y(z)分别是输入和输出信号的Z变换。如果我们将Y(z)视为X(z)的延迟版本,我们可以获得H(z)的差分方程。具体来说,我们可以使用以下公式:
H(z) = Y(z) / X(z) = z^(-1) * Y(z) / z^(-1) * X(z)
通过应用Z变换的逆变换,我们可以得到以下差分方程:
h[n] = y[n] / x[n-1]
其中,h[n]是系统的单位采样响应,n是时间的离散指标,y[n]和x[n]分别是输出和输入信号在时间n处的值。这个方程给出了H(z)和系统的单位采样响应之间的关系,可以用于分析和设计数字信号处理系统。
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