Series expansion of wide-sense stationary random processes

نویسندگان

  • Elias Masry
  • Bede Liu
  • Kenneth Steiglitz
چکیده

Absfracf-This paper presents a general approach to the derivation of series expansions of second-order wide-sense stationary mean-square continuous random process valid over an infinite-time interval. The coefficients of the expansion are orthogonal and convergence is in the mean-square sense. The method of derivation is based on the integral representation of such processes. It covers both the periodic and the aperiodic cases. A constructive procedure is presented to obtain an explicit expansion for a given spectral distribution.

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عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 14  شماره 

صفحات  -

تاریخ انتشار 1968