5.3 Effect of Sampling in the Frequency Domain To establish the relation between Ga(js) and G(ei),we treat the sampling operation mathematically as a multiplication of ga(t)by a periodic impulse train p(t): 00 p(t)=∑δ(t-nT) n=-00 p(1)§5.3 Effect of Sampling in the Frequency Domain • To establish the relation between Ga(jΩ) and G(ejω) , we treat the sampling operation mathematically as a multiplication of ga(t) by a periodic impulse train p(t): = ∑δ − ∞ n=−∞ p(t) (t nT) g (t) × a g (t) p p(t)