Orthogonal frequency division multiplexing (OFDM) systems suffers from high peak to average power ratio (PAPR). In this paper, PAPR is reduced for OFDM systems for 5G wireless networks by proposing a scheme which employs perfect random sequences to reduce the PAPR for different channels like A White Gaussian Noise (AWGN), flat fading channel and frequency selective channel with DWT, DFT and DCT by using Differential Amplitude and Phase modulation (DAPM), Quadrature Amplitude Modulation (QAM) and Pulse Amplitude Modulation (PAM) modulation techniques. Simulation results show that the proposed method has less PAPR value for DAPM-DWT and less BER for DAPM-DWT for flat fading and frequency selective channels and also as compared with DCT, DFT with QAM and PAM modulation techniques.