An analysis of improved Nyquist pulses based on Pearson distance

Modern telecommunications require high data rates and very good quality of service. The improved Nyquist pulses outperform the standard RC pulse in terms of error probability when sampled with a time offset. An analysis of these novel pulses in terms of performance and similarity in shape based on Pearson distance between the vectors that contain the samples of the impulse response and frequency characteristic has been carried out. The most performing pulses show a smaller value of Pearson distance with respect to the standard `raised cosine' pulse. The Pearson distance diminishes for higher values of the excess bandwidth.