Thus a non-time variable jumps from one value to another as time moves from one time period to the next. The variable "time" ranges over the entire real number lineor depending on the context, over some subset of it such as the non-negative reals, *moment discret site*. Other examples of continuous signals are sine wave, cosine wave, triangular wave etc. The number of measurements between any two time periods is finite. The continuity of the time variable, in connection with the law of density of real numbersmeans that the signal value can be found at any arbitrary point in **moment discret site.** This process is called sampling.

Discrete time[ edit ] Discrete sampled signal 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 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 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.

Discrete-time signals may have several origins, but can usually be classified into one of two groups: This process is called sampling. Continuous time[ edit ] In contrast, continuous time views variables as having a particular value for potentially only an infinitesimally short amount of time. Between any two points in time there are an infinite number of other points in time. 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.

Thus time is viewed as a continuous variable. A continuous signal or a continuous-time signal is a varying quantity a signal whose domain, which is often time, is a continuum e.

The function itself need not be continuous. To contrast, a discrete time signal has a countable domain, like the natural numbers. A signal of continuous amplitude and time is known as a continuous-time signal or an analog signal.

This a signal will have some value at every instant of time. The electrical signals derived in proportion with the physical quantities such as temperature, pressure, sound etc. Other examples of continuous signals are sine wave, cosine wave, triangular wave etc. The signal is defined over a domain, which may or may not be finite, and there is a functional mapping from the domain to the value of the signal.

The continuity of the time variable, in connection with the law of density of real numbers , means that the signal value can be found at any arbitrary point in time. A typical example of an infinite duration signal is:

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