Discrete time is non-continuous time. Sampling at non-continuous times results in discrete-time samples. For example, a newspaper may report the price of crude oil once every 24 hours. In general, the sampling period in discrete-time systems is constant, but in some cases non-uniform sampling is also used. with discrete-time signals (e.g., x(n) is the discretized signal x(t) sampled every nT seconds where T is the sampling period). In contrast to continuous-time systems, where the behaviour of a system is often described by a set of linear
differential equations, discrete-time systems are described in terms of
difference equations. Most
Monte Carlo simulations utilize a discrete-timing method, either because the system cannot be efficiently represented by a set of equations, or because no such set of equations exists. Transform-domain analysis of discrete-time systems often makes use of the
Z transform.
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