Sammendrag
This paper deals with the study of asymptotic probability
density functions (PDFs) of the outage durations of the
instantaneous capacity (also referred to as the mutual information)
in orthogonal space-time block code (OSTBC) transceiver
systems over multiple-input multiple-output (MIMO) Rayleigh
fading channels. The Rayleigh fading subchannels are assumed
to be frequency-nonselective and mutually uncorrelated, whereas
the associated Doppler power spectral density is supposed to
be symmetric about the origin. In addition, the channel state
information (CSI) is considered to be available only at the
receiver side. Taking these assumptions into account, and drawing
upon known statistical properties for the asymptotic behavior
of chi-square processes at low levels, we provide a closed-form
approximate solution for the PDF of the outage intervals of
the underlying capacity processes. Furthermore, an analytical
expression is also provided for the kth-order moments of the
outage intervals. These statistical quantities will as well be shown
to be useful for studying the statistics of the capacity outage
durations of single-input multiple-output (SIMO) and multipleinput
single-output (MISO) systems. The validity of the obtained
approximate asymptotic solutions has been confirmed by means
of computer simulations.
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