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Determine z-transform of the following x(n)={1,2,3,4,5,0,7}
1 Answer
written 2.3 years ago by |
Solution:
x(0)=4x(1)=5x(2)=0x(3)=7x(−1)=3x(−2)=2x(−3)=1
x(z)=∞∑n=−∞x(n)z−n=3∑n=−3x(n)z−n
=x(−3)z+3+x(−z)z+2+x(−1)z+1+x(0)z0+x(1)z−1+x(2)z−2+x(3)z−3
=1z+3+2z+2+3z+1+4+5z−1+0z−z+7z−3
=z3+2z2+3z+4+5z+7z3x(z)=z3+2z2+3z+4+5/z+7/z3