How can a signal be both periodic and random?

1. Can a random signal be periodic?
2. What can be used for periodic and non-periodic signals?
3. How do you determine whether a signal is periodic or not?
4. Can we say whether a signal is periodic or nonperiodic by just looking at its frequency domain plot?

Can a random signal be periodic?

Most realistic signals are both random and periodic. Where Ns(⋅), denotes a normally distributed random variable that evolves much slower than once every sample. For short segments, this signal is approximately periodic but because of the random phase, it never quite is periodic.

What can be used for periodic and non-periodic signals?

Examples of periodic signals include the sinusoidal signals and periodically repeated non-sinusoidal signals, such as the rectangular pulse sequences used in radar. Non-periodic signals include speech waveforms and random signals arising from unpredictable disturbances of all kinds.

How do you determine whether a signal is periodic or not?

A signal is said to be periodic signal if it has a definite pattern and repeats itself at a regular interval of time. Whereas, the signal which does not at the regular interval of time is known as an aperiodic signal or non-periodic signal.

Can we say whether a signal is periodic or nonperiodic by just looking at its frequency domain plot?

How? A signal is periodic if its frequency domain plot is discrete ; a signal is nonperiodic if its frequency domain plot is continuous.