MATLAB: Create a transfer function that looks like a polynomial

MATLABpolynomialtransfer function

Hello everyone I have a function called C
C=inv(Psi'*Psi)*Psi'*E1;
The challege I am having is creating a transfer function from C called filterC that looks like the picture that is attached.
Note the picture attached is an example. My values will be different.
whenever I do prefilter=tf(C) I get values like in row form
Prefilter=tf(C)
Prefilter =
 
  From input to output...
   1:  -0.8673
 
   2:  0.3917
 
   3:  0.2832
 
   4:  -0.6459
 
   5:  -0.08966
 
Static gain.
How can I get my transfer function to look similar to this?
Am I doing something wrong?
Any help is greatly appreciated.

Best Answer

If you have filter cofficient, then you need to pass following options to tf() 
C = [1 -1.047 0.558 0.2608 -0.7408 0.09526];
sys = tf(C, 1, .01, 'variable', 'z^-1')
Result
>> sys
sys =
 
  1 - 1.047 z^-1 + 0.558 z^-2 + 0.2608 z^-3 - 0.7408 z^-4 + 0.09526 z^-5
 
Sample time: 0.01 seconds
Discrete-time transfer function.
Note that, in this case, C must be a row vector.
In your question, you are using C as a column vector; therefore, you are getting five transfer functions with static gains.
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