Abstract : This thesis work carries out a study of the 3GPP LTE standards and mainly concentrates on the LTE 8   OFDM PHY layer. A MATLAB model based on LTE 8 PHY baseband is built for simulation and performance evaluation. All mandatory blocks in the 802.11a   OFDM-PHY specification are included: Randomization, FEC, adaptive modulation, and IFFT/FFT. An additive random Gaussian channel is implemented and Peak to Average Power ratio is reduced using clipping and filtering and Companding model at the transmitter end and it is quantified using CCDF analysis. It is also mentioned that once the system is put under test using MATLAB there is some assumption being taken to represent the results. A random signal of different M-ary value is considered as the digital baseband signal which has to be recovered at the receiver side. It is about evaluating the Complementary cumulative distribution function for performance evaluation which is taken at the transmitter side. The graphs are taken for techniques like clipping, clipping & filtering & non linear Companding techniques. The results so obtained are compared and then a final conclusion is made regarding the Peak to average power ratio reduction.