Multiple-input-multiple-output (MIMO) system often operates in dynamic and time-varying environment where the orthogonal frequency division multiplexing (OFDM) with channel conditions changes rapidly. Optimization algorithm can adaptively adjust the pilot Patten based on the current channel state, ensuring robust channel estimation (CE) even in challenging condition. Nevertheless, there are a number of problems with, including estimation of the carrier frequency offset (CFO), allocating the power, also optimal orthogonal pilot. This study acknowledges this issue and suggests a solution that focuses on creating the greatest pilot pattern design (PDD) feasible in order to obtain accurate CE. This study provides orthogonal PDD by combining two approaches to PDD: orthogonal pilot optimization and power allocation and CFO estimation. Using PDD techniques grounded on enhanced pilot design with GSIP (PDGSIP), orthogonal PDD based on generalized shift invariance property (GSIP) for a MIMO-OFDM has been suggested. In PDGSIP, PDD with high coherence is firstly attained and updated with finest PDD. Here best pilot shapes are made through utilizing enhanced pelican optimization algorithm (EPOA). The proposed method has been compared with the existing models and may achieve normalized mean square error (NMSE) \(17\times {10}^{-3}\) and bit error rate (BER) \(18\times {10}^{-4}\) in typical communication scenario with 20 dB signal-to-noise ratio (SNR).