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A linear combination between two intersymbol interference (ISI) free parametric linear pulses was proposed in order to obtain a new family of Nyquist pulses. The new family of pulses is utilized for pulse shaping to reduce peak-to-average power ratio (PAPR). The proposed pulse contains a new design parameter, μ, giving an additional degree of freedom to minimize PAPR for a given roll-off factor, α, and transmission scheme. While keeping the same bandwidth, the frequency responses of the proposed pulses differ with different values of the parameter μ for a fixed roll-off factor. Simulations showed that PAPR reduction is achieved when compared to that of other existing filters for the interleaved subcarrier mode of single carrier frequency division multiple access (SC-FDMA).