expression rearranging using symbolic math toolbox

Hi I have a expression like below

H_S = (b0 + ( (2/T)*((1-Z^-1)/(1+z^-1)) ) * b1) / (a0 + ( (2/T)*((1-Z^-1)/(1+z^-1)) ) * a1)

and using symbolic math toolbox, can i get something like below mentioned expression

H_S = ( (b0*T+2*b1) + ((b0*T-2*b1) * Z^-1) ) / ( (a0*T+2*a1) + ((a0*T-2*a1) * Z^-1) )

Basically i want to isolate Z^-1 here

Thanks in advance

[KSSV]

There is z and Z..both are different? or typo error?

Answer 1

[Nicolas Schmit]

You can isolate the polynomial coefficients in Z this way:

[N, D] = numden(H_S);
coefsN = coeffs(N, Z);
coefsD = coeffs(D, Z);