Signal

Discrete signal testing for periodicity

Discrete signal testing for periodicity
  1. How do you find the periodicity of a discrete signal?
  2. Which condition is used to check the periodicity of discrete-time signals?
  3. How do you find the periodic time of a signal?

How do you find the periodicity of a discrete signal?

A discrete-time signal is periodic if there is a non-zero integer p ∈ DiscreteTime such that for all n ∈ DiscreteTime, x(n + p) = x(n). x(n) = cos(2π f n).

Which condition is used to check the periodicity of discrete-time signals?

Discrete Time Aperiodic Signal

If the condition of periodicity is not satisfied even for one value of n for a discrete time signal x(n), then the discrete time signal is aperiodic or nonperiodic.

How do you find the periodic time of a signal?

If x(t) is periodic with period T, it is also periodic with period nT, that is: x(t) = x(t + nT). The minimum value of T that satisfies x(t) = x(t + T) is called the fundamental period of the signal and we denote it as T0.

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