  In this article, we present a new approach to optimizing the energy
efficiency of the cost-efficiency of quantized hybrid pre-encoding (HP) design.
We present effective alternating minimization algorithms (AMA) based on the
zero gradient method to produce completely connected structures (CCSs) and
partially connected structures (PCSs). Alternative minimization algorithms
offer lower complexity by introducing orthogonal constraints on digital
pre-codes to concurrently maximize computing complexity and communication
power. As a result, by improving CCS through advanced phase extraction, the
alternating minimization technique enhances hybrid pre-encoding. For PCS, the
energy-saving ratio grew by 45.3 %, while for CCS, it increased by 18.12 %.
