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I have given a complex feedback system in z domain like:

Y = 2*W2 + E

W2 = z^-1/(1-z^-1) * (W1 + (1-z^-1)*W2 - 1/2*(1-z^-1)*Y)

W1 = V - Y + z^-1/(1-z^-1) * 1/2 * (V - Y)

where Y is the system output, V is the system input, W1 and W2 are intermediate nodes and E is an error input

I and want to get an expression like

Y(z) = E(z)*(...) + X(z)*(...)

i.e., the system output as a sum of the error input and the input. Alternatively: signal transfer function and error transfer function.

Just defining the terms as above and using Solve[] or so is not really successful.

Anyone a hint how to do that?

Thanks

divB

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# Mathematica: Simplifying a feedback system

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