Why is $A\cos(2\pi f_ct)$ a non-stationary process?

1. How do you determine if a process is stationary?
2. What is stationary non stationary random process?
3. Is a sine wave stationary?
4. What is stationary process in digital communication?

How do you determine if a process is stationary?

Intuitively, a random process X(t),t∈J is stationary if its statistical properties do not change by time. For example, for a stationary process, X(t) and X(t+Δ) have the same probability distributions. In particular, we have FX(t)(x)=FX(t+Δ)(x), for all t,t+Δ∈J.

What is stationary non stationary random process?

A nonstationary process is characterized by a joint pdf or cdf that depends on time instants t₁, …, t_k. For a stationary random process, the mean and variance are both constants (i.e., neither of them is a function of time).

Is a sine wave stationary?

So a sine is sort of stationary in frequency. Additionally, the signal is itself stationary in envelope (modulus 1 for the analytic version of the signal).

What is stationary process in digital communication?

A strictly stationary process (or strongly stationary process, or stationary process) is a stochastic process whose joint pdf does not change when shifted in time.