Discrete time and continuous time: Difference between revisions

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'''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]]. Thus a non-time variable jumps from one value to another as time moves from one time period to the next. 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. In this framework, each variable of interest is measured once at each time period. The number of measurements between any two time periods is finite. Measurements are typically made at sequential [[integer]] values of the variable "time".
 
A '''discrete signal''' or '''discrete-time signal''' is a [[time series|§§≤÷°•×−]] consisting of a [[sequence]] of quantities.
 
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 (signal processing)|sampling]] from a continuous-time signal. When a discrete-time signal is obtained by sampling a sequence at uniformly spaced times, it has an associated [[sampling rate]].