Discrete z to convert z^-1

Hello. Change i it correctly?

0.0004773 (z+0.9544)

---------------------

(z-0.9591) (z-0.9064)

to

0.0004773z^-1 (1+0.9544z^-1)

---------------------

(1-0.9591z^-1) (1-0.9064z^-1)

[Sai Teja G]

Hi, can you check this link - https://www.mathworks.com/matlabcentral/answers/600862-how-to-do-z-transform-with-z-1-format.

Answer 1

[Paul]

z = zpk('z',-1); 
H = 0.0004773 * (z+0.9544)/ (z-0.9591) / (z-0.9064)

H =
 
  0.0004773 (z+0.9544)
  ---------------------
  (z-0.9591) (z-0.9064)
 
Sample time: unspecified
Discrete-time zero/pole/gain model.

H.Variable = 'z^-1'

H =
 
  0.0004773 z^-1 (1+0.9544z^-1)
  -----------------------------
  (1-0.9591z^-1) (1-0.9064z^-1)
 
Sample time: unspecified
Discrete-time zero/pole/gain model.

Answer 2

[Walter Roberson]

z = tf('z');
Gz = 0.0004773*(z+0.9544) / ((z-0.9591)* (z-0.9064))

Gz =
 
  0.0004773 z + 0.0004555
  -----------------------
  z^2 - 1.865 z + 0.8693
 
Sample time: unspecified
Discrete-time transfer function.

Gz1 = tf(Gz.Numer, Gz.Denom, Gz.Ts, 'Variable', 'z^-1')

Gz1 =
 
  0.0004773 z^-1 + 0.0004555 z^-2
  -------------------------------
   1 - 1.865 z^-1 + 0.8693 z^-2
 
Sample time: unspecified
Discrete-time transfer function.