A novel radon-wavelet based OFDM system design and performance under different channel conditions

Finite Radon Transform mapper 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 Fast Fourier Transform based orthogonal frequency division multiplexing. It is also able to work as a good interleaver which significantly reduces the bit error rate. Due to its good orthogonality, discrete wavelet transform is used for orthogonal frequency division multiplexing systems which reduces inter symbol interference and inter carrier interference. This eliminates the need for cyclic prefix and increases the spectral efficiency of the design. In this paper both Finite Radon Transform and Discrete Wavelet Transform are implemented in a new design for orthogonal frequency division multiplexing. The new structure was tested and compared with conventional Fast Fourier Transform -based orthogonal frequency division multiplexing, Radon-based orthogonal frequency division multiplexing, and discrete wavelet transform -based orthogonal frequency division multiplexing for additive white Gaussian noise channel, flat fading channel, and multi-path selective fading channel. Simulation tests were generated for different channels parameters values. The obtained results showed that proposed system has increased spectral efficiency, reduced inter symbol interference and inter carrier interference, and improved bit error rate performance compared with other systems.