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5.3 Effect of Sampling in the Frequency Domain Hence,the CTFT of gp(t)is given by Gm(2)=,∑GaU2-k2r》 Therefore,Go(js)is a periodic function of consisting of a sum of shifted and scaled replicas of Ga(j),shifted by integer multiples of r and scaled by 1/T§5.3 Effect of Sampling in the Frequency Domain • Hence, the CTFT of gp(t) is given by ∑ ( ) ∞ =−∞ Ω = Ω − Ω k a T T p G ( j ) G j( k ) 1 • Therefore, Gp(jΩ) is a periodic function of Ω consisting of a sum of shifted and scaled replicas of Ga(jΩ) , shifted by integer multiples of ΩT and scaled by 1/T
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