In this paper, we present performance of pilot based channel estimation techniques such as Least Squares (LS) and Linear Minimum Mean Square Error (LMMSE) for different interpolation methods and modulation schemes. The performance is evaluated using the mean squared error (MSE) as the performance metric of interest for downlink LTE system. Simulation results show that for low SNR environment, applying QPSK modulation for any interpolation method produces the best MSE performance, but for high SNR environment, linear interpolation produces the worst MSE performance for QPSK and 16-QAM modulation schemes.