Comparative Analysis of Fast Fourier Transform and Discrete Wavelet Transform Based MIMO-OFDM
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The orthogonal frequency division multiplexing (OFDM) is used in mobile wireless communication systems including IEEE 802.16 (WiMAX), Long Term Evolution (LTE), Long Term Evolution Advanced (LTE-A), IEEE802.11x (Wi-Fi), Hiperlan/2, etc due to its high data rate capability, robustness against multi-path fading (particularly when combined with MIMO antenna technology), frequency selective fading, and its ability to leverage on the use of more bandwidth efficiently, without the problem of Inter Symbol Interference (ISI). Discrete Wavelet Transform (DWT) has strong advantages over Discrete Fourier Transform (DFT) which is a major technique in the achievement of the OFDM system. DWT allows time-frequency domain operation with flexibility and provides solutions to the various drawbacks identified in DFT based MIMO-OFDM technology including spectral wastage as a result of the inclusion of cyclic prefix and high Peak to Average Power Ratio (PAPR). This paper provides an overview of the basic principles of DFT and DWT based OFDM. DWT based OFDM in comparison with DFT based OFDM in MIMO-OFDM system was also investigated using MATLAB based simulations. The Authors has proposed a IDWT based OFDM in MIMO-OFDM systems as it outperforms the IDFT based MIMO-OFDM as shown by our simulation result where the Bit Error rate (BER) of DWT using 8QAM and QPSK modulation scheme is lower compared to the BER of DFT. Our results thus showed improved performance with the use of DWT over DFT in the MIMO-OFDM system.
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