Intersymbol Interference-Free Nyquist Pulse Shaping Using Quadratic Bezier Curves

This paper introduces a novel family of intersymbol interference (ISI)-free Nyquist pulses constructed using quadratic Bezier curves. In contrast to conventional pulse shaping approaches that rely on fixed trigonometric or polynomial basis functions, the proposed design methodology exploits the inherent geometric flexibility of Bezier curves to precisely control ´the frequency response roll-off characteristics. This framework introduces a tunable control point whose coordinates are systematically optimized to minimize the bit error rate (BER)under conditions of symbol timing uncertainty. Comprehensive numerical evaluations demonstrate that the resulting Optimal Bezier Pulse (OBP) achieves superior performance compared ´to the classical raised-cosine pulse and other state-of-the-art parametric pulse designs across a wide range of roll-off factors, exhibiting enhanced robustness against timing jitter impairments