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6 votes
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FIR or IIR filter from poles and zeros

Axel Mancino's answer is correct for causal filters. In general, FIR filters have poles at either $z=0$ or $|z|\rightarrow\infty$, or both. Take as an example a fourth-order causal FIR filter: $$H_1(...
Matt L.'s user avatar
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5 votes

What is the zero in this transfer function?

$$2s+1=2\left(s+\frac12\right)$$ That's all I can say.
Matt L.'s user avatar
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3 votes
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What's wrong with having as many zeros and poles as wanted in the transfer function H(z)?

There is nothing wrong per say with adding a pole and zero in the same location, but what should be clear is it will have no effect on the resulting characteristics of that transfer function (such as ...
Dan Boschen's user avatar
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3 votes
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Trivial and non-trivial zeros

I wasn't familiar with that term in the context of signal processing. (Instead, I've seen the term being used in the context of the Riemann zeta function.) But I've found a document and this book ...
Matt L.'s user avatar
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3 votes

FIR or IIR filter from poles and zeros

Yes, if all the poles are in $z=0$ then it is FIR. If not, it is IIR.
Axel Mancino's user avatar
1 vote

What is the zero in this transfer function?

Anyone with a brain will realize I made an extremely elementary arithmetic error in my question. The transformed equation should of course be: which means the zero is -1/2 as expected. The bottom ...
rhody's user avatar
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