Joint Wavelet and Sine Transforms for Performance Enhancement of OFDM Communication Systems

Khaled Ramadan, Ibrahim Aqeel () and Emad S. Hassan ()
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Khaled Ramadan: Department of Telecommunication Engineering, College of Engineering at Ahlia University, Manama 10878, Bahrain
Ibrahim Aqeel: Department of Electrical and Electronics Engineering, College of Engineering and Computer Science, Jazan University, Jizan 45142, Saudi Arabia
Emad S. Hassan: Department of Electrical and Electronics Engineering, College of Engineering and Computer Science, Jazan University, Jizan 45142, Saudi Arabia

Mathematics, 2025, vol. 13, issue 20, 1-19

Abstract: This paper presents a modified Orthogonal Frequency Division Multiplexing (OFDM) system that combines Discrete Wavelet Transform (DWT) with Discrete Sine Transform (DST) to enhance data rate capacity over traditional Discrete Fourier Transform (DFT)-based OFDM systems. By applying Inverse Discrete Wavelet Transform (IDWT) to the modulated Binary Phase Shift Keying (BPSK) bits, the constellation diagram reveals that half of the time-domain samples after single-level Haar IDWT are zeros, while the other half are real. The proposed system utilizes these 0.5 N zero values, modulating them with the DST (IDST) and assigning them as the imaginary part of the signal. Performance comparisons demonstrate that the Bit-Error-Rate (BER) of this hybrid DWT-DST configuration lies between that of BPSK and Quadrature Phase Shift Keying (QPSK) in a DWT-based system, while also achieving data rate improvement of 0.5 N . Additionally, simulation results indicate that the proposed approach demonstrates stable performance even in the presence of estimation errors, with less than 3.4% BER degradation for moderate errors, and consistently better robustness than QPSK-based systems while offering improved data rate efficiency over BPSK. This novel configuration highlights the potential for more efficient and reliable data transmission in OFDM systems, making it a promising alternative to conventional DWT or DFT-based methods.

Keywords: DWT; DST; BPSK; QPSK; OFDM; CFO; BER (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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