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# Discrete-time signal

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### Discrete-time signal

Discrete sampled signal

A discrete signal or discrete-time signal is a time series consisting of a sequence of quantities. In other words, it is a time series that is a function over a domain of integers.

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, and then each value in the sequence is called a sample. When a discrete-time signal obtained by sampling a sequence corresponds to uniformly spaced times, it has an associated sampling rate; the sampling rate is not apparent in the data sequence, and so needs to be associated as a characteristic unit of the system.

## Acquisition

Discrete-time signals may have several origins, but can usually be classified into one of two groups:[1]

• By acquiring values of an analog signal at constant or variable rate. This process is called sampling.[2]
• By observing an inherently discrete-time process, such as the weekly peak value of a particular economic indicator.

## References

1. ^ "Digital Signal Processing" Prentice Hall - Pages 11-12
2. ^ "Digital Signal Processing: Instant access." Butterworth-Heinemann - Page 8

• Gershenfeld, Neil A. (1999). The Nature of mathematical Modeling. Cambridge University Press.
• Wagner, Thomas Charles Gordon (1959). Analytical transients. Wiley.
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