Discrete time is noncontinuous time. Sampling at noncontinuous times results in discretetime samples. For example, a newspaper may report the price of crude oil once every 24 hours. In general, the sampling period in discretetime systems is constant, but in some cases nonuniform sampling is also used. with discretetime signals (e.g., x(n) is the discretized signal x(t) sampled every nT seconds were T is the sampling period). In contrast to continuoustime systems, where the behaviour of a system is often described by a set of linear differential equations, discretetime systems are described in terms of difference equations. Most Monte Carlo simulations utilize a discretetiming method, either because the system cannot be efficiently represented by a set of equations, or because no such set of equations exists. Transformdomain analysis of discretetime systems often makes use of the Z transform. In mathematics, a differential equation is an equation in which the derivatives of a function appear as variables. ...
In mathematics, a recurrence relation, also known as a difference equation, is an equation which defines a sequence recursively: each term of the sequence is defined as a function of the preceding terms. ...
Monte Carlo methods are a class of computational algorithms for simulating the behavior of various physical and mathematical systems. ...
In mathematics and signal processing, the Ztransform converts a discrete time domain signal, which is a sequence of real numbers, into a complex frequency domain representation. ...
Uniformly sampled discrete time signals can be expressed as the timedomain multiplication between a pulse train and a continuous time signal. This timedomain multiplication is equivalent to a convolution in the frequency domain. Practically, this means that a signal must be bandlimited to half the sampling frequency, F_{s}/2, in order to prevent aliasing. Likewise, all nonlinear operations performed on discretetime signals must be bandlimited to F_{s}/2. Timedomain is a term used to describe the analysis of mathematical functions, or reallife signals, with respect to time. ...
For the computer science usage see convolution (computer science) . In mathematics and in particular, functional analysis, convolution is a mathematical operator which takes two functions f and g and produces a third function that in a sense represents the amount of overlap between f and a reversed and translated version...
Frequency domain is a term used to describe the analysis of mathematical functions with respect to frequency. ...
A bandlimited signal is a deterministic or stochastic signal (e. ...
In statistics, signal processing, and related disciplines, aliasing is an effect that causes different continuous signals to become indistinguishable (or aliases of one another) when sampled. ...
Usage: when the phrase "discrete time" is used as a noun it should not by hyphenated; when it is a compound adjective, as when one writes of a "discretetime stochastic process", then, at least according to traditional punctuation rules, it should be hyphenated. See hyphen for more. In the mathematics of probability, a stochastic process is a random function. ...
A hyphen ( , or â€ ) is a punctuation mark. ...
See also
