Consider the use of the Z transform in the design and analysis of digital filters.
a) State the definition of the Z transform.
b) Why can't we use the Z transform on a median filter?
c) Use the Z transform to determine the DC gain and phase of the following digital filter:
![1674_8ffa5b37-5c62-4525-b4ba-55b3e36aebd0.png](https://secure.tutorsglobe.com/CMSImages/1674_8ffa5b37-5c62-4525-b4ba-55b3e36aebd0.png)