Novel Nyquist-I filter to reduce PAPR for SC-FDMA scheme

Shaharyar Kamal (), Izhar Ahmed Khan (), Amjad Ali (), Ashfaq Hussain Farooqi (), Awais Ahmad () and Claudio Estevez ()
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Shaharyar Kamal: University of Chile
Izhar Ahmed Khan: Nanjing University of Aeronautics and Astronautics
Amjad Ali: Hamad Bin Khalifa University
Ashfaq Hussain Farooqi: Air University
Awais Ahmad: Imam Mohammad Ibn Saud Islamic University
Claudio Estevez: University of Chile

Telecommunication Systems: Modelling, Analysis, Design and Management, 2025, vol. 88, issue 1, No 34, 22 pages

Abstract: Abstract 5 G systems address growing broadband demands with OFDM-based technologies like SC-FDMA and OFDMA in LTE. A novel pulse shape is proposed for the transmitter-side uplink scheme using single-carrier frequency division multiple access (SC-FDMA) to reduce the Peak to Average Power Ratio (PAPR). The pulse shape combines a finite impulse response (FIR) filter in the frequency domain with a Nyquist-I pulse in the time domain. The optimization of the impulse response of the new pulse shape is achieved by using an envelope-constrained (EC) filter design to suppress the amplitude of the side-lobe. A new family of Nyquist-I pulses is presented, termed exponential raised cosine (ERC), featuring a novel design parameter $$\gamma $$ γ that offers additional degrees of freedom to minimize PAPR for a given roll-off factor $$\alpha $$ α . The sub-optimum value of $$\gamma $$ γ is analyzed with a defined range of values; however, $$\gamma = 0.3$$ γ = 0.3 shows an impressive reduction in PAPR and $$\gamma = 0.1$$ γ = 0.1 verifies an improvement in SER over the other values of $$\gamma $$ γ . The simple expression of the ERC shows a less complex design with an average elapsed time of 47.41x10 $$^{-6}$$ - 6 seconds. Computer-based simulations are performed to identify a sub-optimal value $$\gamma $$ γ compared to other existing pulses, showing a significant reduction in PAPR for the interleaved mode of SC-FDMA.

Keywords: Nyquist-I criterion; Peak-to-average power ratio; Power amplifier; Pulse-shaping filters; SC-FDMA (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11235-025-01266-2

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