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Extraction of Transfer Function Coefficients/Transfer Function Determination

Cornel
17-Peridot

Extraction of Transfer Function Coefficients/Transfer Function Determination

Hello Dear Friends,

I'm trying to do the following:

1) I have a transfer function in the z domain and I want to build a function in Mathcad to which if I give the respective transfer function in the z domain at the exit of this function to obtain the values ​​of the coefficients.

2) Having at my disposal the coefficients of the transfer function in the z domain, I would like to construct a function in Mathcad that would do the inverse of point 1, namely at the exit of this function to obtain a transfer function in the z domain, ie the function from point 1.

For example, the transfer function in the z domain has the degree of the numerator and the degree of the denominator equal to 3, as shown in the figure below (for simplicity).

CornelBejan_0-1613509515915.png

CornelBejan_1-1613509585490.png

How could this be achieved?

Attached is the Mathcad 15 file.

Thank you.
Best regards.

2 REPLIES 2
LucMeekes
23-Emerald III
(To:Cornel)

See if this helps:

LucMeekes_0-1613512913332.png

 

Success!

Luc

-MFra-
21-Topaz II
(To:Cornel)

Hi,

In the files that I advised you to search, the Laplace transform and the z transform are used extensively for the design of digital filters. Search for "3) LOW PASS" but also "4) ...." and "5) ....."

-MFra-_0-1614013441209.png

 

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