This (a signal) will have some value at every instant of time. To contrast, a discrete-time signal has a countable domain, like the natural numbers.Ī signal of continuous amplitude and time is known as a continuous-time signal or an analog signal. The function itself need not to be continuous. That is, the function's domain is an uncountable set. Whose domain, which is often time, is a continuum (e.g., a connected interval of the reals). Thus time is viewed as a continuous variable.Ī continuous signal or a continuous-time signal is a varying quantity (a signal) The variable "time" ranges over the entire real number line, or depending on the context, over some subset of it such as the non-negative reals. Between any two points in time there are an infinite number of other points in time. In contrast, continuous time views variables as having a particular value only for an infinitesimally short amount of time. By observing an inherently discrete-time process, such as the weekly peak value of a particular economic indicator.By acquiring values of an analog signal at constant or variable rate.When a discrete-time signal is obtained by sampling a sequence at uniformly spaced times, it has an associated sampling rate.ĭiscrete-time signals may have several origins, but can usually be classified into one of two groups: Unlike a continuous-time signal, a discrete-time signal is not a function of a continuous argument however, it may have been obtained by sampling from a continuous-time signal. Measurements are typically made at sequential integer values of the variable "time".Ī discrete signal or discrete-time signal is a time series consisting of a sequence of quantities. The number of measurements between any two time periods is finite. In this framework, each variable of interest is measured once at each time period. This view of time corresponds to a digital clock that gives a fixed reading of 10:37 for a while, and then jumps to a new fixed reading of 10:38, etc. Thus a non-time variable jumps from one value to another as time moves from one time period to the next. Discrete time views values of variables as occurring at distinct, separate "points in time", or equivalently as being unchanged throughout each non-zero region of time ("time period")-that is, time is viewed as a discrete variable.
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