Multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) transmission can improve both the transmission capacity and performance due to diversity gain. However, one of the major drawback of MIMO-OFDM have high peak-to average power ratio (PAPR) in order to the signals transmitted on different antennas. The transmitted bits must be channel-encoded as they are particularly critical to the performance of the considered OFDM system. Consequently, this channel encoding highly increases the system complexity and decreases the transmission data rate. These two problems are subjected to transmitter diversity that can overcome by incorporating orthogonal space-time block coded (OSTBC) and Zadoff-Chu Transform (ZCT) with the MIMO-OFDM. Moreover, the receiver diversity is can be improved using of Extended Kalman Filter (EKF). By enhancing the transmitter diversity and receiver diversity, we can achieve the spatial diversity, which leads to reduce the BER values and PAPR values. Finally, the performance of our proposed ZCT-OSTBC-EKF methodology is evaluated based on BER and PAPR by compared with the existing methodology.