The Z- Transform. See attachment
Inverse Z-transform and poles and zeros
When finding the inverse Z-transform of functions with z^(-1) terms in the numerator, that fact that z^(-1) can be thought of as a delay operator can be used to simplify the computation. Consider.
Use the Z-transform of u[n] and the properties of the Z-transformation to find x[n].
If we consider X(z) a polynomial in negative powers of z, what would be its degree and the values of its coefficients?
Find the poles and the zeros of X(z) and plot them on the z-plane. Is there a pole or zero at z=1? Explain.© BrainMass Inc. brainmass.com March 4, 2021, 11:41 pm ad1c9bdddf
Please find attached, thanks
We are given the domain transfer function below
First we will work out the right hand side of the above by algebraic manipulation as below
But and so we get
We define our domain transfer function
Where is the output and is the input
Multiplying out we get
In terms of a difference equation in time domain we get from the definition of the transform from time domain
So we get a series of time advance functions
We can reduce each of these time indices by 10 to get (as long as each of the indices are reduced by the same ...
The expert examines signal processing for the Z-transform.