Questions tagged [poles-zeros]
200 questions
11
votes
4 answers
What are poles and zeros?
The concept of poles and zeros in filters was introduced to me during our lab (our lab isn't sync with our lecture) through the pole-zero plot generation of filters in MATLAB. I didn't get its importance until it was mentioned in our lecture that…
ellekaie
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vote
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How do zeros outside the unit circle affect the stability of a system?
I'm learning about poles and zeros of transfer functions in my signals class and we have just covered the effects of poles outside the unit circle on the pole-zero plot. Intuitively, it makes sense that a pole outside the circle would cause the…
marco
- 113
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1
vote
1 answer
Does the system function H(z) for a filter always have symmetry above and below the real x-axis?
When I look at the Pole/Zero diagrams in the DSP books it appears that whatever
pole or zero is above the real x-axis from:
$$\omega=0 \rightarrow \pi$$
is always reflected as a mirror image below the x-axis from:
$$\omega=0 \rightarrow -\pi$$. …
MrCasuality
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vote
3 answers
How to find difference equation, given poles and zeros?
I'm given poles at ${1+i}$ and ${1-i}$, and zero at $0$.
I have to find the difference equation and find out whether the system is stable.
Now I found in a similar question, which structure I tried to follow ( How to find system function, H(z) in…
alwahir
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- 2
1
vote
2 answers
How to find system function, H(z) in the z-domain, given zero-pole plot of the system?
I'm given a zero-pole plot (Real/Imaginary Plane) of a system in which poles occur at $\frac{-9}{10}$, $\frac{9}{10}$, and zeros occur at $\frac{10}{9}j$, $\frac{-10}{9}j$. An additional zero occurs at negative infinity.
I'm also given that…
Minh Tran
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0
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1 answer
Confused with region where root locus lies and sketch
How will be the root locus of
$$G(s) = \frac K {
(s^2+2s+2)(s^2+2s+5)
}
$$
look like?
The poles will be -1+2i, -1-2i, -1-i, -1+i which lies on the same vertical line and i am confused about the region where root locus lies in.
Nothing
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0
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What is difference between repeated poles and distinct poles?
What is difference between repeated poles and distinct poles?
As far as i am able to understand is that repeated poles are those that have same value of both x and y coordinates while distinct poles are those that have either same value of x…
DSP_CS
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Conjugate Pole Pairs
I am currently studying for an exam for a Speech Processing course I am taking and stumbled across this question in one of the sample exams:
I began to plot the pole-zero configuration placing my poles on the unit circle at points +j and -j as well…
User 5842
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0
votes
1 answer
When do we have a minimum phase couple
I am a DSP newbie and I am really confused after reading Chapter two of
"An Introduction to Digital Signal Processing by J. H. Karl".
On page 32, first paragraph, the book defines a minimum phase couplet as one with zeros OUTSIDE the unit circle…
Chika
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Poles and Zeros
Got a couple of questions here guys
I have a unit circle with just 1 pole and a lot of zeros. What condition could result to this and does it have any effect on the dsp system
Why do poles appear as real/complex conjugate pairs.
Thanks
Shittu Olalekan
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