I would like to transform a function into a certain form. So I can read the coefficients more easily later. For example, if I have the following function:
G=((z-1)/z)*(((K*z)/(z-1))-K/(z-Exp[-T/TS]))
![enter image description here](http://community.wolfram.com//c/portal/getImageAttachment?filename=Bild1.png&userId=947646)
I would like to bring this into the form
G=((b1*z^-1)/(1+a1*z^-1))
![enter image description here](http://community.wolfram.com//c/portal/getImageAttachment?filename=Bild2.png&userId=947646)
In general terms, the form looks like this
![enter image description here](http://community.wolfram.com//c/portal/getImageAttachment?filename=Bild3.png&userId=947646)
Thanks for your help Sebastian