Time series

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Temporal discretization

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To study a signal, it is necessary to discretize the time, that is, to define times in which the signal measurement is carried out. Assuming that it is measured in equal time intervals, the time can be defined:

$ t_n = n \Delta t $

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Time interval

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The time interval is calculated from the total time T of the signal and the number of points N that are measured:

$ \Delta t = \displaystyle\frac{ T }{ N }$

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Time series

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A function x(t) can be measured in the times defined by

$ t_n = n \Delta t $



which gives a series of values:

$ x_n = x( t_n )$

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