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To achieve a high speed data rate, higher spectral efficiency, improved services and low latency the 3rd generation partnership project designed LTE standard (Long Term Evolution).the LTE system employs specific technical as well the technical HARQ, MIMO transmission, OFDM Access or estimation technical. In this paper we focus our study on downlink LTE channel estimation and specially the interpolation which is the basis of the estimation of the channel coefficients. Thus, we propose an adaptive method for polynomial interpolation based on Lagrange polynomial. We perform the Downlink LTE system MIMO transmission then compare the obtained results with linear, Sinus Cardinal and polynomial Newton Interpolations. The simulation results show that the Lagrange method outperforms system performance in term of Block Error Rate (BLER) , throughput and EVN(%)vs. Signal to Noise Ratio (SNR).

Improvement of LTE Downlink System Performances Using the Lagrange Polynomial Interpolation