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

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.