Finite Radon transform (FRAT) mapper computed in Fourier basis using fast Fourier transform (FFT) algorithm has the ability to increase orthogonality of sub-carriers, it is non-sensitive to channel parameters’ variations, and has a small constellation energy compared with conventional FFT-based orthogonal frequency division multiplexing (OFDM). It is also able to work as a good interleaver which significantly reduces the bit error rate (BER) performance of the OFDM system under severe channel conditions. In this paper, the idea is developed towards increasing the orthogonality and increasing spectral efficiency of OFDM system structure. FRAT computed in discrete wavelet transform (DWT) basis is implemented in OFDM systems and compared with FRAT-OFDM computed in Fourier basis under different channel conditions for different channel parameters values including multi-path gains vector, multi-path delay time vector, and maximum Doppler shift. As a result, the proposed structure gives a significant improvement in BER performance in additive white Gaussian noise (AWGN) channels, flat fading channels, and multi-path selective fading channels.

discrete wavelet transform, finite Radon transform, FRAT-FFT OFDM transceiver, FRAT-DWT OFDM transceiver.