- Stationary sequence
A

**stationary sequence**is a random sequence such that the joint PDF (probability density function) of the sequence is invariant over time. If some random sequence X [n] is stationary then the following will hold:$F\_X(x\_n,\; x\_\{n+1\},...,x\_\{n+N-1\};n,n+1,...,n+N-1)\; =\; F\_X(x\_n,\; x\_\{n+1\},...,x\_\{n+N-1\};n+k,n+1+k,...,n+N-1+k)$

If a sequence is stationary then it is wide sense stationary.

If a sequence is stationary then it has constant mean:$E(X\; [n]\; )\; =\; u\_x\; forall\; n$

**References***Probability and Random Processes with Application to Signal Processing Third Addition by Henry Stark and John W. Woods Prentice-Hall 2002

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