The ergodic decomposition of asymptotically mean stationary random sources

Details The ergodic decomposition of asymptotically mean stationary random sources The ergodic decomposition of asymptotically mean stationary random sources

2008-04-15

arxiv.org/abs/0804.2487v1

Computer Science

Information Theory

Submitted to IEEE Transactions on Information Theory, Apr. 2008

Scientific paper

It is demonstrated how to represent asymptotically mean stationary (AMS) random sources with values in standard spaces as mixtures of ergodic AMS sources. This an extension of the well known decomposition of stationary sources which has facilitated the generalization of prominent source coding theorems to arbitrary, not necessarily ergodic, stationary sources. Asymptotic mean stationarity generalizes the definition of stationarity and covers a much larger variety of real-world examples of random sources of practical interest. It is sketched how to obtain source coding and related theorems for arbitrary, not necessarily ergodic, AMS sources, based on the presented ergodic decomposition.

Affiliated with

Also associated with

No associations

Rating

The ergodic decomposition of asymptotically mean stationary random sources does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The ergodic decomposition of asymptotically mean stationary random sources, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ergodic decomposition of asymptotically mean stationary random sources will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606655