1.

What is the step response of the system y(n)=ay(n-1)+x(n) -1<a<1, when the initial condition is y(-1)=1?

A. ( frac{1}{1-a} )(1+a<sup>n+2</sup>)u(n)
B. ( frac{1}{1+a} )(1+a<sup>n+2</sup>)u(n)
C. ( frac{1}{1-a} )(1-a<sup>n+2</sup>)u(n)
D. ( frac{1}{1+a} )(1-a<sup>n+2</sup>)u(n)
Answer» D. ( frac{1}{1+a} )(1-a<sup>n+2</sup>)u(n)


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