Z transforms are very important in electronic and software applications especially signal processing. It is like laplace transforms that are used in the solving of differential equations. Actually, z transforms are considered as the discrete-time equivalent of Laplace transforms.
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Here, we explain how to perform Laplace Z transforms with the ‘ztrans()’ command in Matlab®. The example below is executed in the Matlab® command window. You can try it in your own Matlab® software.
>> syms x y = x^4; ztrans(y) ans = (z*(z^3 + 11*z^2 + 11*z + 1))/(z - 1)^5 >>
At the programming example above, we defined a symbolic variable with the syms command in Matlab®. We can use this variable to create our symbolic polynomial or equation which is ‘y’ above.
Then we directly typed this inside the’ ztrans()’ command in Matlab® as you see above. Check the answer in the command window.
As you see above, it is very easy to perform z transforms with the ‘ztrans()’ command in Matlab®.
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This article is prepared for completely educative and informative purposes. Images used courtesy of Matlab®
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