In this paper the comparison of DWT-OFDM and FFT-OFDM is presented. DWT-OFDM system model uses zero padding and vector transpose to transmit OFDM signal. Chaotic interleaving scheme for transmitting data efficiently over AWGN channel is described. This scheme is the simplest and most popular. The concept of chaotic Baker map is used in this approach. The proposed chaotic interleaving approach adds a degree of encryption to the transmitted data. The BER performance of the multiple copy chaotic interleavers Discrete Wavelet Transform OFDM (DWT-OFDM) and FFT-OFDM is compared. The simulation results show that multiple copy chaotic interleaver based DWT-OFDM system is better than the FFT-OFDM system.