Pulse Shaping & Eye Diagram

Proakis & Salehi — ISI, Nyquist Criterion, Raised-Cosine Filter

Pulse Shape

Parameters

Channel

Nyquist ISI Criterion
A pulse p(t) causes zero ISI iff:
p(nT) = { 1, n=0; 0, n≠0 }

Raised Cosine:
α=0: ideal sinc (min BW, max ISI sensitivity)
α=1: widest BW, most robust to timing errors

BW = (1+α)/(2T)