  This correspondence proposes the use of a real-only equalizer (ROE), which
acts on real signals derived from the received offset quadrature amplitude
modulation (OQAM) symbols. For the same fading channel, we prove that both ROE
and the widely linear equalizer (WLE) yield equivalent outputs. Hence, these
exhibit the same performance. Our complexity analysis finds that depending on
the frame length, ROE can be computationally less complex, and save significant
signal processing time over WLE. In the adaptive normalized least mean square
implementation, ROE performs better with lower complexity than its counterpart,
for a given number of pilot bits.
