Example 3.1: Right-sided exponential sequence Determine the z-transform including the ROC in z-plane,and draw a sketch of the pole-zero-plot, given sequence: =awaa≤oT a>1? no DTFT Solution: w之*-2r-2af1Hoe0 1-az z-a Condition of convergence: zero:z=0,pole:z=a RoC:lz 1<lor 14( )   n n 0 n n n n X z a a z u n z =−   − − = = =   ( ) 1 0 n n az  − = = 1 1 j ae −  − 14 Example 3.1: Right-sided exponential sequence zero z pole z a : 0 : = = ， xn a un n = ◆Determine the z-transform including the ROC in z-plane,and draw a sketch of the pole-zero-plot, given sequence: Solution: ROC: 1 az o1 rz a −   ( ) 1 1 1 1 az az −  − − = − a 1 DTFT z z a = − 0 a 1? no DTFT 1 1 1 az = − − Condition of convergence: