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DTFT Properties Using the differentiation property of the dtFT given in Table 3. 2, we observe that the dtft of nx[n is given by dx(eu),d ae do do(1-ae Jo (1-e J)2 Next using the linearity property of the dtFT given in Table 3.2 we arrive at ae Jo Y(e/0)= (1-ae)21-aeo(1-aeo)2 Copyright C 2001, S K. MitraCopyright © 2001, S. K. Mitra 2 DTFT Properties • Using the differentiation property of the DTFT given in Table 3.2, we observe that the DTFT of is given by • Next using the linearity property of the DTFT given in Table 3.2 we arrive at nx[n] 2 1 (1 ) ( ) 1 −  −  −   −  =          − =  j j j j e e d e d j d dX e j 2 2 (1 ) 1 1 1 (1 ) ( ) −  −  −  −   − = − + −  = j j j j j e e e e Y e
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