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连续信号.
连续信号或称连续时间信号是指定义在实数域的信号,自变量(一般是时间)的取值连续。若信号的幅值和自变量均连续,则称为模拟信号。
根据实数的性质,时间参数的连续性意味着信号的值在时间的任意点均有定义。
一个典型的无限时间信号为:
![{\displaystyle f(t)=\sin(t),\quad t\in \mathbb {R} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/1e37cfe091bd31d8093ce6b397ceb3bca01319e8)
上述信号有范围限制的例子为:
![{\displaystyle f(t)=\sin(t),\quad t\in [-\pi ,\pi ]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6f5a62642ad4f66510bdde0918bab7caf79c64e6)
t取其他值
作为物理信号,连续信号的值必然有一定的范围。
任何模拟信号都是连续信号,数码信号处理中的离散信号可以通过对连续信号采样和量化得到。
连续信号也可以定义在其他自变量上,一个常用的例子是定义在空间上的连续信号,如图像处理中一般定义在二维平面上。
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