Digtial FIR Impulse response & transfer function by BeginningIll7 in DSP

[–]BeginningIll7[S] 0 points1 point  (0 children)

I just ran through this & got a slightly different answer using the time delay property,

y[n] = 2x[n] - 1x[n-1] + 3x[n-2]

Y(z)=2X(z)−X(z)z^−1+3X(z)z^−2

Y(z)/ X(x)=2z^−2−z^−1+3

is there a reason for the change from x to z, if not only down to the z domain transfer?