Abstract

In this work, we present a comparative study on the performance of Fourier-based OFDM (FFT-OFDM) and wavelet-based OFDM (DWT-OFDM) under compressive sensing (CS). Transmission over FFT-OFDM and DWT-OFDM, which has been made under different baseband modulation schemes such as Binary Phase Shift Keying (BPSK), Quadrature Phase Shift Key (QPSK), Quadrature amplitude modulation (16QAM) and (64QAM) has been considered. From numerical simulation results, it is observed that the Wavelet-based OFDM system outperforms Fourier based OFDM when the Quadrature Amplitude Modulation is 16QAM and 64QAM within the signal to noise ratios range 30 to 40 dB. Although CS is more efficient in compression than classical compression techniques, it introduces more errors over OFDM transmission. Future directions of this work are also suggested.

Highlights

  • In view of the increasing demand for the rapid transfer of data, especially video file, the recently started using Fourier modulation used worldwide in fourth-generation telecommunications systems

  • We present a comparative study on the performance of Fourier-based Orthogonal Frequency Division Multiplexing system (OFDM) (FFT-OFDM) and wavelet-based OFDM (DWT-OFDM) under compressive sensing (CS)

  • Using MATLAB, we implemented FFT-OFDM and DWT-OFDM with (BPSK, Quadrature Phase Shift Key (QPSK),16QAM, 64QAM) modulation, on the compressed image in three methods (Discrete Cosine Transform, Discrete Wavelet Transform, and Compressive Sensing) with compression ratio (CR) equal two, where the signal to noise ratio,(SNR) ranges from -40 dB to 40 dB; assuming wired communication system, the compressed signal passed on only via one path

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Summary

Introduction

In view of the increasing demand for the rapid transfer of data, especially video file, the recently started using Fourier modulation used worldwide in fourth-generation telecommunications systems. This may extend to the fifth generation, but wavelets can be used for orthogonal modulation. There are many transmission techniques used to transmit digital signals with different environments. To be transmitted the data over the orthogonal carriers will be originating as a stream. This serial data after parallel transformation OFDM is a modulation technique mainly suited for transmitting signals over which dispersive medium. In OFDM wideband fading channels are divided into narrowband sub-channels, it means that OFDM divides the complete spectrum into many sub-channels [21]

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