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 ? that offers additional degrees of freedom to minimize PAPR for a given roll-off factor ?. The sub-optimum value of ? is analyzed with a defined range of values; however, ?=0.3 shows an impressive reduction in PAPR and ?=0.1 verifies an improvement in SER over the other values of ?. The simple expression of the ERC shows a less complex design with an average elapsed time of 47.41x10-6 seconds. Computer-based simulations are performed to identify a sub-optimal value ? compared to other existing pulses, showing a significant reduction in PAPR for the interleaved mode of SC-FDMA. © The Author(s) 2025.