Performance Analysis of OTFS-based System using DWT, FFT and FrFT Transforms under Various Fading Environments

International Journal of Electronics and Communication Engineering

© 2025 by SSRG - IJECE Journal

Volume 12 Issue 5

Year of Publication : 2025

Authors : Arashid Ah. Bhat, Lavish Kansal

10.14445/23488549/IJECE-V12I5P119

How to Cite?

Arashid Ah. Bhat, Lavish Kansal, "Performance Analysis of OTFS-based System using DWT, FFT and FrFT Transforms under Various Fading Environments," SSRG International Journal of Electronics and Communication Engineering, vol. 12,  no. 5, pp. 217-226, 2025. Crossref, https://doi.org/10.14445/23488549/IJECE-V12I5P119

Abstract:

The robustness of Orthogonal Time Frequency Space modulation in demanding communication contexts has attracted a lot of interest. To take advantage of the benefits that each transform offers in various areas of signal processing, this study explores the performance of OTFS modulation by combining a suite of distinct transforms, such as the Fractional Fourier Transform (FrFT), Fast Fourier Transform (FFT) and Discrete Wavelet Transform (DWT). Here, the OTFS signal is split up into many sub-bands using the DWT, which allows for a multi-resolution analysis that improves the system’s flexibility in response to changing channel circumstances. This breakdown makes it easier to describe and work with signal components, which strengthens the signal’s resistance to frequency-selective fading and lessens the effect of multipath propagation. To offer more options for modifying the signal in the t, and f domains, the FrFT is also used. The OTFS modulation may adapt to changing channel conditions and achieve tighter control over the signal characteristics by constantly optimizing its parameters using the flexibility of FrFT, which has been investigated. Here, the combined effects of several transforms on the SNR, BER, and overall performance of OTFS modulation are presented through a comprehensive performance study that includes simulations and assessments. The proposed systems were analyzed under various levels of PSK modulation, and the results that were obtained were studied for performance comparisons. The outcomes demonstrate the synergistic benefits of applying several transforms, offering insights into the complementarities and trade-offs that may be taken advantage of to improve the dependability and effectiveness of OTFS-based communication systems in a range of dynamic and varied situations. The proposed systems were operated under various fading environments, including AWGN, NAKAGAMI, and RICIAN channels.

Keywords:

OTFS modulation, FFT, DWT, FrFT, Diverse transforms.

References:

[1] Anton Monk et al., “OTFS-Orthogonal Time Frequency Space: A Novel Modulation Technique Meeting 5G High Mobility and Massive MIMO Challenges, Arxiv, pp. 1-13, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[2] R. Hadani “Orthogonal Time Frequency Space Modulation,” 2017 IEEE Wireless Communications and Networking Conference, San Francisco, CA,USA, pp. 1-6, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Vishal Sharma, and Gurpreet Singh, “On BER Assessment of Conventional- and Wavelet-OFDM Over AWGN Channel,” Optik, vol. 125, no. 20, pp. 6071-6073, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Ankush Kansal, Kulbir Singh, and Rajiv Saxena, “Bit Error Rate Analysis of FrFT Appended OFDM System,” Optik vol. 126, no. 7-8, pp. 715-718, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Harpreet Kaur et al., “Performance Analysis of DWT Based OFDM Over Fading Environments for Mobile WiMax,” Optik, vol. 127, no. 2, pp. 544-547, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Volkan Kumbasar, and Oğuz Kucur, “Performance Comparison of Wavelet Based and Conventional OFDM Systems in Multipath Rayleigh Fading Channels,” Digital Signal Processing, vol. 22, no. 5, pp. 841-846, 2012.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Mahesh Kumar Gupta, and S. Tiwari, “Performance Evaluation of Conventional and Wavelet Based OFDM System,” AEU - International Journal of Electronics and Communications, vol. 67, no. 4, pp. 348-354, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
[8] Jing Zheng, and Zulin Wang, “ICI Analysis for FRFT-OFDM Systems to Frequency Offset in Time-Frequency Selective Fading Channels,” IEEE Communications Letters, vol. 14, no. 10, pp. 888-890, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Xu Liu, Yunxia Liu, and Heng Zhang, “Signal to Noise Ratio Improvement Scheme for OFDM System Based on Wavelet Transform,” 2022 IEEE 5th Advanced Information Management, Communicates, Electronic and Automation Control Conference, Chongqing, China, pp. 1167-1171, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Mao Li, Wei Liu, and Jing Lei, “A Review on Orthogonal Time–Frequency Space Modulation: State-of-Art, Hotspots and Challenges,” Computer Networks, vol. 224, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Sneha Chennamsetty et al., “Analysis of PAPR in OTFS Modulation with Classical Selected Mapping Technique,” 2023 15th International Conference on COMmunication Systems and NETworkS, Bangalore, India, pp. 319-322, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Zhenduo Wang et al., “BER Performance Analysis of OTFS Systems with Power Allocation,” China Communications, vol. 20, no. 1, pp. 24-35, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Wenyi Chen, Fu Sai, and Zilong Huang, “Comparative Analysis of Performance of DWT-OFDM and DFT-OFDM,” 2023 3rd Asia-Pacific Conference on Communications Technology and Computer Science, Shenyang, China, pp. 684-690 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Jingyi Peng, and Yuhong Wang, “Fractional Fourier Transform Based Channel Estimation in XL-MIMO Systems,” 2023 3rd International Conference on Neural Networks, Information and Communication Engineering, Guangzhou, China, pp. 400-404, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Muhammad Ubadah, and Saif Khan Mohammed, “Impact of Sinusoidal Co-Channel CW Interference on the Spectral Efficiency of OTFS Modulation,” 2023 National Conference on Communications, Guwahati, India, pp. 1-6 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[16] Vicente Baena-Lecuyer, Ana Cinta Oria Oria, and Joaquín Granado Romero, “Low PAPR Preamble-Based Channel Estimation for OTFS Systems on Static Multipath Channels,” Digital Signal Processing, vol. 136, pp. 1-7, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Igor A. Kalmykov, Alersandr A. Olenev, and Nikita K. Chistousov, “Mathematical Modeling of Signal Processing Using Discrete Wavelet Transform and Non-Positional Modular Code,” 2023 International Russian Automation Conference (RusAutoCon), Sochi, Russian, pp. 437-442, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[18] Zhenduo Wang et al., “OTFS Waveform Design Based on WFRFT for Integrated Sensing and Communication,” 2023 IEEE/CIC International Conference on Communications in China, Dalian, China, pp. 1-6, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Milan Wils, Mohit Sharma, and Marc Moonen, “Per-Wavelet Equalization for Discrete Wavelet Transform Based Multi-Carrier Modulation Systems,” IEEE Open Journal of Signal Processing, vol. 4, pp. 52-60, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[20] Hongxia Miao, and Mugen Peng, “Orthogonal Time Chirp Space Modulation based Upon Fractional Fourier Transform,” Signal Processing, vol. 210, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[21] Hongxia Miao, and Feng Zhang, “When FrFT Meets Quadratic Frequency Modulation Functions-A Novel Tool for Nonstationary Signals and Time-varying Systems,” Digital Signal Processing, vol. 143, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[22] Gauri Waichal, and Ashok Khedkar, “Performance Analysis of FFT Based OFDM System and DWT Based OFDM System to Reduce Inter-carrier Interference,” 2015 International Conference on Computing Communication Control and Automation, Pune, India, pp. 338-342, 2015.
[CrossRef] [Google Scholar] [Publisher Link]