As the Wikipedia link shows, the colored noises each have a characteristic spectrum, are therefore not time-dependent, and thus stationary.
- What are stationary noises?
- What is stationary and non-stationary signals?
- What are non-stationary waves?
- How do you know if a signal is stationary?
What are stationary noises?
A sound or SOUND OBJECT whose AMPLITUDE is relatively unchanging. However, in any natural sound the SPECTRUM is always changing (see diagram under FOURIER ANALYSIS) and there are usually slight fluctuations in amplitude even in what appears to be a steady sound.
What is stationary and non-stationary signals?
A stationary time series has statistical properties or moments (e.g., mean and variance) that do not vary in time. Stationarity, then, is the status of a stationary time series. Conversely, nonstationarity is the status of a time series whose statistical properties are changing through time.
What are non-stationary waves?
Now if we observe this signal for its entire duration, the frequency components are changing from one interval to the other. Thus such a signal qualifies the definition of non-stationarity and hence is an example for a non-stationary signal.
How do you know if a signal is stationary?
If the properties of the process that generates the events DOES NOT change in time, then the process is stationary.