MATLAB: How to design filters using Z transfer functions

filter designlow passtransfer functionz transform

I have a paper on ECG segmentation, and need to develop an algorithm using Matlab that involves among other things, developing 2 filters (a Low Pass Differentiator and a First-Order Low Pass Filter) that have the following transfer functions:
Gdiff(z)=1-z^(-6)
and
Gsmooth(z)=(1-z^(-8))/(1-z^(-1))
Any suggestions are welcome. Thank you.

Best Answer

It is straightforward to convert transfer function to filter (in theory) to filter coefficients, as shown in the following wiki
http://en.wikipedia.org/wiki/Digital_filter
For example, you Gdiff is an FIR filter with coefficients of [1 0 0 0 0 0 -1]
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