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A signal x(t) follows the following property: x(t +T) = x(t) for all t, where T is a positive non zero value, The signal x(t) classified as:

A signal x(t) follows the following property: x(t +T) = x(t) for all t, where T is a positive non zero value, The signal x(t) classified as: Correct Answer Periodic signal

  • A signal is a periodic signal if it completes a pattern within a measurable time frame, called a period and repeats that pattern over identical subsequent periods. The completion of a full pattern is called a cycle.
  • The duration of a period represented by T may be different for each signal but it is constant for any given periodic signal.
  • The period is the smallest value of T satisfying x(t + T) = x(t) for all values of t.
  • The period is defined so because if x(t + T) = x(t) for all t, it can be verified that g(t + T') = g(t) for all t where T' = 2T, 3T, 4T, ...
  • If the period of a function is finite, the function is called "periodic". Functions that never repeat themselves have an infinite period and are known as non-periodic functions.

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