What is the difference between wide sense and strict sense stationary processes (SP) ?

According to the definition (by Heinrich Meyr, Marc Moeneclaey, Stefan A. Fechtel in "Synchronization, Channel Estimation, and Signal Processing") :

  • strict-sense SP = not time dependent
  • wide-sense SP = not dependent on variable t (time)

Could someone please illuminate what this really means ?

Perhaps pointing out a good book in which the difference is explained ?

If an SP is not dependent on variable t (time) then how can it depend on time ( a process which is not strict sense stationary but wide sense stationary)?

Could you give an example of such a process ?

Why and when is making this difference useful/neccessary?

  • $\begingroup$ This answer might answer your question. $\endgroup$ – Matt L. May 25 '15 at 9:02

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