Tansfer Function To a Difference Equation

1bob1

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Joined
Mar 2, 2009
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1
Hi,

This is a question relating to DSP. I wasn't sure what section to put it in. (move it if you so wish)


I have the transfer function:


0.5 - 0.3 z-1
------------- = H(z)
1 + 0.25 z -1


I need to obtain a difference equation ( i.e in the form y(z)= )


My problem is I cant find in text books, or on the web, a simple explanation for converting said transfer function to a difference equation. (please note this is a difference equation not a differential equation).


I found the following link to be the most useful thing so far, (if you explore the site a bit). But I still don't understand how the process is done.
[ http://ccrma.stanford.edu/~jos/fp3/Z_Tr ... tions.html ]


Thanks for any help anyone can provide,


Bob
 
It looks like there might be some missing grouping symbols, in the way that you typed the definition of H(z).

Clearly, the expression 1 + 0.25 z - 1 simplifies to 0.25 z .

Are you trying to state the following?

H(z) = [0.5 - 0.3(z - 1)]/[1 + 0.25(z - 1)]


 
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