  A finite blocklenth analysis of the diversity-multiplexing tradeoff is
presented, based on nonasymptotic bounds on the maximum channel coding rate of
multiple-antenna block-memoryless Rayleigh-fading channels.The bounds in this
paper allow one to numerically assess for which packet size, number of
antennas, and degree of channel selectivity, diversity-exploiting schemes are
close to optimal, and when instead the available spatial degrees of freedom
should be used to provide spatial multiplexing. This finite blocklength view on
the diversity-multiplexing tradeoff provides insights on the design of
delay-sensitive ultra-reliable communication links.
