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Questions tagged [pole-zeroplot]

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Stability Criteria of Type 3 Digital PLL

I suppose we can derive the stability criteria based on poles of open-loop transfer function of F(z) in expression (4.11). However, the pole analysis does not help in deriving the stability criteria ...
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2answers
220 views

Low Pass Filter Wrong Pole Location

I wanted to understand and derive an equation of simple low pass filter that shows the location of pole in frequency response graph (Bode plot). So, here is the derivation: $$V_{OUT}=\frac{V_{IN}*...
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52 views

Low Entropy derivation of Transfer Functions with OP AMPS

I was recently low entropy equations of passive filters, and came across the Extra Element Theorem and all of its uses. I was wondering if the there is something similar for OP AMP circuits/ Active ...
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1answer
235 views

Root locus for an open loop transfer function?

The function, rlocus(), in MATLAB is used for closed loop system roots for variation in gain K. However, I am curious if there is a similar function for variation ...
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2answers
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Meaning of the “pole” of a transfer function with time delay

I learned in basic control theory that we can determine the stability of an LTI system by the signs of the real part of the poles of its transfer function \$H(s)=\frac{N(s)}{D(s)}\$. For a rational ...
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2answers
163 views

Poles and Zeros of Two Pole Compensation

I am known with the basics of what poles and zeros of transfer function are and how to determine them, but I certainly don't know how to apply such poles and zeros to the gain curve, which describes ...
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3answers
104 views

No zeros, yet still affecting stability?

As far as im aware Poles affect the stability of a transfer function primarily, and is defined whether they stay within the unit circuit & are on the left side of the pole-zero plot. Zeros have no ...
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1answer
39 views

Experiment to identify of all the poles from the input output data irrespective of pole zero cancellation?

The pole zero cancellation reduces the order of the system. As a result we can't identify all the poles from the input output data. Given, input output data, can I devise an experiment such that I can ...
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2answers
598 views

The Pole Frequency of OP AMP 741

I am working on MatLab simulation software to plot a Bode plot in the Matlab Environment. The open loop transfer function is $$a(s) = \frac{a_0}{(1+s/\omega_1)(1+s/\omega_2)}$$ Where \$\omega_1\$ and ...
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1answer
217 views

RHP zero with a positive phase shift

All books and references I read say that RHP zero gives a negative phase shift. I can infer that by plot the phase of the function \$w_{z}-s\$ where \$w_{z}>0\$. With this function, when frequency ...
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1answer
57 views

How to find the frequency of more than one zeroes analytically?

Hello, I have to draw the Bode plot of \$G(s)=\frac{V_u}{V_{in}}\$ and I want to do it without calculating the full transfer function. This circuit has Cgd=1pF capacitors at every Mos. Vt=0.4V, k=2mA/...
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2answers
621 views

Polar plot of s/(1+(s*T))

The magnitude at w=0 comes out to be 0 (=1/infinity) , which is different from previous problems (they didn't have any zero) I've calculated, is this right? I guess it should be right (because G(s)...
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4answers
2k views

What is the difference between the forward transfer function and closed-loop transfer function?

We can define the forward transfer function as $$l(s)=g(s)r(s)$$ Thus, the closed-loop transfer function is $$h(s)=\frac{g(s)r(s)}{1+g(s)r(s)}$$ with \$g(s)r(s)\$ the multiplication between all the ...
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2answers
587 views

Conjugate, non-conjugate and single poles in an RLC circuit system

In all the texts I encountered so far, I find the following pole-zero diagram example for an RLC series circuit: The transfer function for the above circuit can be found as: H(s) = XC/(R + XL + XC) =...
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1answer
226 views

A question on the response of an RC circuit and pole of its transfer function

Below is an excerpt from an introductory level book about poles and zeros: The transfer function of the RC circuit system above for the output voltage is: H(s) = s/(s+10) The book claims that this ...
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2answers
5k views

What exactly is Pole Frequency in a Filter and how does it affect the frequency response?

I'm having great trouble understanding the concept of a pole in a real world electric circuit. I do understand what a 'pole' is and what a 'zero' is, in the point of view of a 'Transfer Function' but ...
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3answers
398 views

What happens to an electrical system at its pole?

Pole is defined as the value at which value of a function becomes infinity. Let's say I have one LTI system with transfer function H(s)=1/s+1. How the system will behave when s=-1. From Bode plot ...
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2answers
918 views

Finding desired closed-loop poles from root locus

I am trying to design a P controller (proportional constant only) to satisfy certain overshoot and settling time requirements for my plant. My values for \$\zeta\$ and \$w_n\$ which would satisfy the ...
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1answer
731 views

Intuitive to get pole and zero points for lead compensator

The circuit below is a lead compensator. I can easily know exact the pole and zero of the network by deriving the transfer function. However, I am wondering if there is an intuitive method to get the ...
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3answers
3k views

Finding Transfer Function, Poles, Zeros of an RC Circuit

I'm trying to brush up on some electronics theory and am working through this PDF. At the bottom of page F-6 there is a problem, F.1, that I am currently trying to solve. The circuit is as follows: ...
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1answer
777 views

How are poles of Bessel filter related to cutoff frequency?

For a 2nd order Bessel low pass, I have a pole-zero map which has a pole couple of the form: \$p_{1/2} = a \pm jb\$. Can I deduce the cutoff frequency from the pole location? Does it contain any ...
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2answers
133 views

How do you determine the approximate frequency where the magnitude starts decreasing -40dB/dec for complex pole?

I am stuck at drawing the approximate Bode plot for the complex pole transfer function as below. Please see the question and problem in the picture. How do you determine the approximate frequency ...
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1answer
296 views

Bode diagram of a single complex pole and under-damped system

I would like to draw Bode plot for a complex pole as below. Let's assume that for now regardless that the single complex pole doesn't exist. This is the function: $$H = \frac{1}{s - (a + jb)}$$ where ...
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3answers
606 views

How is the impulse response related to pole/zero-plot?

I have trouble understanding how you can from a pole/zero-plot say something about the impulse response. For instance I have 2 poles in (-5 +/- 8 jw) and a zero in 0. How would I know, from just ...
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2answers
440 views

poles and zeroes, why the magnitude plot contradicts the actual definition

I know that poles are the frequencies at which the response goes to infinity and zeroes are the frequencies at which the response goes to zero but when we draw the bode plot or magnitude plot the ...
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4answers
6k views

Meaning of zeros in transfer function

Can someone please explain, provide a link or cite a book where the properties of the zeros for continuous and discrete time systems are explained? I know that the zeros are the frequencies where the ...
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1answer
373 views

Confused about the shape of 3D s-domain plots

Why in these type of 3D plots does the gain value (z axis) come back down from infinity for sigma values that are greater than the sigma value of a pole? I thought that these plots are the value of ...
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2answers
5k views

Type of Filter from pole-zero plot

If the zeros were on the imaginary axis, it sure would have been a NOTCH filter. But, since the complex conjugate zeros are on the left of the jW axis, the transfer function has second order terms ...