Maximally Flat Delay Nyquist Pulse Design

Abstract

A method to generate a Nyquist pulse using a maximally flat delay polynomial for the denominator of the transfer function and an appropriate placing of the zeros of the numerator is described. The transmission zeros are chosen so that the resulting pulse outperforms the raised-cosine pulse in terms of the least-mean-square (LMS) timing error and timing jitter. The resulting transfer function is realizable as a ladder LC network with low component sensitivity. Practical design examples show that the generated pulse has negligible energy outside the mainlobe and better LMS timing error and jitter performance than the raised-cosine pulse.