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1 vote
1 answer
206 views

What's wrong with having as many zeros and poles as wanted in the transfer function H(z)?

I'm learning about Z-transforms and transfer functions in DSP. Suppose I have the following transfer function: $H(z) = \frac{1}{z-0.5}$ I want to find the corresponding $h(n)$. If I factor out $z^{-...
9 votes
5 answers
20k views

Why more poles than zeroes?

I read that an "improper system" "has more zeros than poles; it is not causal, cannot be implemented, has a strictly proper inverse and has infinite high-frequency gain." Does causality fail due to ...
3 votes
2 answers
2k views

FIR or IIR filter from poles and zeros

Is it possible to differentiate between Finite Impulse Response (FIR) filters and Infinite Impulse Response (IIR) filters just by knowing the poles and zeros of the system? If yes, how? If not, why?
12 votes
3 answers
10k views

How to estimate a transfer function from a magnitude-only frequency response?

Given an arbitrary frequency response, what signal processing methods might exist that could guess, estimate or determine a transfer function (pole and zero constellation) which gives a "reasonably ...
5 votes
2 answers
81 views

What is the zero in this transfer function?

What is the zero for the following transfer function, $-1/2$ or $-2$? $$H(s) = \frac{2s +1}{(s + 3)(s + 2)}$$ This appears to give a zero of $-1/2$. I can transform this into the standard form ...
0 votes
1 answer
1k views

Trivial and non-trivial zeros

I am new to DSP, and I'm self studying. Could someone please explain to me what do we mean by trivial and non-trivial zeros?
1 vote
2 answers
92 views

Showing processes as an Equation

I have developed an algorithm that counts the number of times a particular block (within a 2D block) crosses zero. Here's an example: ...
1 vote
1 answer
342 views

Hidden Markov Models - Identifying Phonemes

I'm developing a project that identifies Phonemes to be able to identify whether someone is saying either "Yes" or "No". So far in the project, I have used Zero-crossings to identify what the person ...