Which of the following is a recursive form of a non-recursive system described by the equation y(n)=\(\frac{1}{M+1} \sum_{k=0}^Mx(n-k)\)?

y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)+x(n-1-M)]

y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)+x(n-1+M)]

y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)-x(n-1+M)]

y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)-x(n-1-M)]

Which of the following is a recursive form of a non-recursive system d

1.	Which of the following is a recursive form of a non-recursive system described by the equation y(n)=\(\frac{1}{M+1} \sum_{k=0}^Mx(n-k)\)?
A.	y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)+x(n-1-M)]
B.	y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)+x(n-1+M)]
C.	y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)-x(n-1+M)]
D.	y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)-x(n-1-M)]
Answer» E.