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2. Characterization Of Mimo-Ofdm Signals
The mathematical model of the 
-th transmitted MIMO-OFDM signal 
can be written as
(1) with
denoting the frequency of its first sub-carrier and
denoting the complex envelope of the
-th transmitted MIMO-OFDM signal, given by
(2) where
is the complex symbol transmitted in the antenna
, subcarrier
on the
-th time interval,
is the number of OFDM sub-carriers,
is the length of the OFDM symbol,
and
are random variables modeling the phase of the oscillator and the error of synchronization respectively,
denote the modulation shaping pulse and
denote the duration of the cyclic prefix of the OFDM signal. The random variables
and
are considered statistically independent and uniformly distributed on
and
respectively.