Detecting periodic components in discrete-time signals [closed]

1. Which condition is used to check the periodicity of discrete time signals?
2. How do you determine if a signal is periodic or aperiodic?
3. How do you find the period of a discrete time signal?
4. How can we identify if the signal is periodic or non periodic by looking at its frequency plot?

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 determine if a signal is periodic or aperiodic?

Concept. If a signal is periodic, it repeats after a fixed time period which is known as the period T. So if the function of a periodic signal is x(t), it should be the same signal after changing the time period by period T₀. by substituting integer values for n.

How do you find the period of a discrete time signal?

Detailed Solution. Concept: A discrete-time signal is periodic if there is a non-zero integer N ∈ discrete-time such that for all n ∈ discrete-time, x(n + N) = x(n). The smallest value of N is known as the fundamental period.

How can we identify if the signal is periodic or non periodic by looking at its frequency plot?

Answer: The given signal may be periodic if its frequency spectrum having the fundamental time period repeats at regular intervals of time. The given signal is non periodic when the signal's frequency is random and it is not defined as in sine wave or cosine wave.