I have this problem in my homework (following picture).
How do find the signal to quantization noise ratio at the output?
I don't want the solution. I just want to know a better approach to tackle it.
Because the way I am trying to do is - take the inverse fourier transform of H(z) and convolve it with x(n) and find the power. Then divide this recently found power by the noise power. As easy it sounds (probably correct) it is computationally intense.
I end up with 4 convolutions just to find the y(n).