Discrete signals and systems

N. Jones
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Abstract

A discrete signal is one which is defined only at isolated discrete points in time, its value at other times being either unknown or assumed to be zero. A discrete signal thus contains only discontinuities and is best described analytically as a set of impulses. Most discrete signals are defined at equally spaced points in time but examples exist of unequal spacing which can successfully be processed. This book considers only equally spaced discrete signals. The amplitude of a discrete signal is normally considered to be an infinitely resolved function as with a continuous signal but the digital signal is a discrete signal which is an important exception to this and is classified separately.
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离散信号与系统
离散信号是在时间上孤立的离散点上定义的信号,它在其他时间的值要么是未知的,要么被假定为零。因此,离散信号只包含不连续点,最好解析地描述为一组脉冲。大多数离散信号都是在等间隔的时间点上定义的,但也有一些不等间隔的例子可以成功地处理。这本书只考虑等间隔的离散信号。离散信号的振幅通常被认为是与连续信号一样的无限分解函数,但数字信号是一个离散信号,这是一个重要的例外,并被单独分类。
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