Transfer function Definition and 341 Threads

Homework Statement $$ y(s) = \frac {s}{(s+1)(2s+1)} u(s) $$ Where ##u(s)## is the step function ##\frac {1}{s}## Find the output at t=0 and t= infinity Homework EquationsThe Attempt at a Solution My question is kind of basic, so I know the final and initial value theorem $$ \lim_{s \to 0}...

Homework Statement Homework EquationsThe Attempt at a Solution part a[/B] $$ \vec {x} = \left [ \begin{array}{ccc} X-X_{s} \\ S-S_{s} \end{array} \right ] $$ $$ \vec {u} = \left [ \begin{array}{ccc} S_{0}-S_{0s} \\ \frac {F_{0}}{V}- \big (\frac {F_{0}}{V} \big )_{s} \end{array} \right ] $$...

Hey all! I am trying to figure out how one goes about to try and find the transfer function (impulse response) of a real life system. Assuming the system is LTI. This "system" I speak of is a channel that is comprised of components such as linear amps, a mixer (can we even assume a mixer is...

Hi Everyone. I want to know what do you think about this Transfer function: T(\omega) = \frac{e^{i\omega\tau}}{1-\rho e^{i2\omega\tau}} If\tau is Real, this function is "good and pretty"(?), because it has a "nice" representation in time with its inverse transform: a delay plus a series of...

Hi everyone, I'm french, so sorry for my bad english. I have a problem to compute the damping as a function of frequency. In fact, I plot the transfer function between the input (which is a force applied bu a hammer) and the output (which is an acceleration). Therefore, I can analyse the mode...

Homework Statement I'm trying to derive the equations of motion and state space as well as the transfer function for a system which has two mass spring damper systems stacked on top of each other. The system is base excited. I attached a pic of the system Homework Equations - Sum of the...

Can anybody explain to me briefly on why in a transfer function like G(s), we substitute s=jw such that it become G(jw) in order to find its gain value? Thanks

Hi, I have an idea which when tested looks like its clearly flawed. I am hoping someone can tell me where my procedure is flawed, or point me to some other theory that has already done something similar. The first two are the laplace transform. The third line is the Fourier Transform. The...

1. Problem statement Find the transfer function , H(s) by two methods. Use Nodal analysis with Cramer's method, and decompose into simpler sections and use the property, H(s) = H1(s) * H2(s).Homework Equations H(s) = H1(s) * H2(s) H(s) = Vout/Vin Cramer's Rule. X = Dx/D : where D is the...

Hello everyone; My question is regarding to velocity effect on transducer diaphragm. When fluid flow is acting to differential pressure transducer's diaphragm, the diaphragm is osculating(vibrating) and there will be fluid flow which is transverse(opposite flow,back flow) to normal fluid flow...

Ive read other threads on here about this and am still slightly confused about it. I did a little experiment; and I am hoping someone can help shed some light on the results. The experiment: 1. Create a system: modeled after a simple spring-mass-damper with mass=1 damping zeta=.1, natural...

Homework Statement Find the steady-state error due to a disturbance Td(s) = 1/s. Set R(s) = 0. if given a system: Homework Equations n/a The Attempt at a Solution I need Y(s)/Td(s). To do this I must find Y(s) in terms of the transfer function Y(s)/R(s) which I have obtained. This gives me...

Given w =1, What is phiG ? Is it the phase difference between the two waves? If it is, isn't it simply phiG = (delta t/T)*360 but I am not getting the right answer. PhiG = (0.5/2pi)*360 = 28.6 Also I don't know where this wt + phi = 2pi equation comes from.

Homework Statement Attached image has full question and information. Determine the transfer function of the circuit. I've done this part, what I am struggling with is converting it into the form requested. R = 10 KΩ L = 10 H Homework Equations Voltage divider: Vo = R2/(R1 + R2) Vin Impedance...

Homework Statement R = C = 1; Homework Equations G(S) = 1/(s+1) The Attempt at a Solution Suppose R = C = 1 then the transfer function from the input voltage to the voltage across the capacitor is 1/ (s+1). So Vc(S) / V(S) = 1/(s+1). Getting back to time-domain: Vc(t) = V(t) * e^-t. What's...

Homework Statement 2. Homework Equations [/B] Small Signal Equivalent Circuit, Kirchhoff Current Law, and BJT equations mentioned in the question. The Attempt at a Solution It looks like I did something wrong. Can someone help me with fixing this?

Homework Statement In order to increase number of poles in system we need to include A) zero at origin B) zero at infinity C) pole at origin D) pole at infinity Homework Equations [/B]The Attempt at a Solution Aren't the options linked ? I mean zero at infinity means a pole at origin and...

Homework Statement Homework EquationsThe Attempt at a Solution So I know how to derive a transfer function from a given circuit, but not how to design a circuit from a transfer function like the one above. It seems like there's a huge amount of possible solutions and I don't know where to...

Homework Statement http://postimg.org/image/sd66qty27/ I am trying to understand the impedance terms for the equivalent system in (b) Homework Equations T1/T2 = N2/N1 The Attempt at a Solution I just don't understand why the impedance before the gears have to be multiplied by (N2/N1)^2...

Homework Statement The block diagram of a PM DC servo motor with current loop feedback is shown below: If Ki is adjusted such that J(Ki+R)2 >> 4KTKbL, show that the transfer function may be approximated by G(s) = (1/Kb) / (τms+1)(τes+1), where τm = J(R+Ki) / KTKb τe = L / (R+Ki)The...

Homework Statement Here is the problem: Homework EquationsThe Attempt at a Solution Okay so I was REALLY confused as to why something wrong happened. Here is my work for the whole question: Sorry for the terrible writing. Okay so for part a), I derived the transfer function as...

Hi all, I would like to know why the Transfre function of the system is represented in S Domain instead of doing all the math in time domain itself. I studied a course on control systems and i wonder why s- domain is taken instead of other domains like Z- domain and others. Please refer belwo...

Hello everyone, i need to find reported transfer functions of internal combustion engines for a project, i would appreciate the model of a four cylinder engine. If anyone knows about a book or some article which i can use, please let me know. thank you very much. the topic is related with...

Homework Statement Find ##a)\ H(s)=\frac{V_o}{V_s}## of the filter in the circuit below. ##b)\ ##The center frequency ##\omega_0## ##c)\ ##The band-width B Correct answers: ##a)\ H(s)=\frac{6s}{12s^2+11s+1}## ##b)\ \omega_0=0.28\frac{rad}{s}## ##c)\ B=0.71\frac{rad}{s}##...

Homework Statement Find the transfer function ##H(s)=\frac{Vi(s)}{Ii(s)}## The circuit consists of a voltage source and a 5H Inductor in series with a 10Ohm Resistor which are in parallel with a 10uF Capacitor in series with a 500Ohm Resistor. ##\rightarrow## Diagram here. Homework Equations...

Homework Statement Find the transfer function for the filter on the attached picture and sketch it in Bode diagram, if you know ##Q_0 =\frac{\omega _0L}{R}>>1## and ##\omega _0^2=\frac{1}{LC}##. Homework EquationsThe Attempt at a Solution If I am not mistaken, we defined the transfer...

Hey guys, i did this source transformation as an alternate method to find the transfer function of a circuit, however I am getting a different transfer function of 2/(2s+(s+3)(s^2+1)) to the solution in the following image. Any help would be really appreciated :)

I have a state space model along with an observer and state feedback. I need to find the transfer function connecting the r (reference) to the y (output) I have this model on simulink. I know the A,B,C,D matrices. So, I can get the TF for the stateSpace with ss2tf function of matlab...

Hey guys, I am new to this forum. I am working on a problem analyzing a potentiometer accelerometer. For the first part, I need to find the transfer function of the potentiometer. known: y=x2-x1 dynamic system: y,x1 For the mechanical aspect of the problem, I found that the transfer function...

Hello! This is problem is a part of a bigger problem which I solved and came to a formula which is correct. This is the equation for one transfer function. The next thing I would like to find out here is when arg(H(jw)) is -90 or 90 degrees but I get stuck. Transfer function: ## H(jw) =...

Hello guys! 1 & 2: I would like to get some help to take everything in A and find transfer function at B and C. I can't find these answer... 3. I know how to go from b) to c) .. we only multiply by E(s) and B(s). But I can't find b) at first. Thanks so much! JPGraphX

Hi all, I am wondering in the 3D optical transfer function as shown below: http://www.purplebark.net/mra/research/votf/otf-sliced-volume.png The m and n axes represent support of lateral spatial frequencies and the s axes axial. If we were talking about a microscope then it has what's called...

Homework Statement transfer function: H(s) = 1/(s^2+s+1). question: compute half-power frequency Homework Equations none The Attempt at a Solution [/B]I got 4 answers: -0.605i, 0.065i, -1.169, 1.169 I know that only two of these are correct, one is 1.169 instead of -1.169 because frequency...

I have gone through a mathematical modelling of a mass spring dashpot system in which if substitute differently we get different transfer functions. How does this really happen as we say Transfer function of a system is unique.

If I have the following transfer function: x = A1 + A2*y + A3*sin(A4*y + A5) + A6*sin(A7*y + A8) +A9*sin(A10*y + A11) +A12*sin(A13*y + A14) I know x and all the A coefficients, how would one solve for y?

I'm trying to develop a Matlab Simulink model which models the relationship between the voltage applied to a motor, and the voltage across a strain gauge connected to a shaft attached to the motor. So far, I have found the transfer function between voltage and motor torque, and the transfer...

Homework Statement I have got transfer functions W(s) and Wk(s), where Wk(s) is correction transfer function. So I calculate W(s) and Wk(s) in series. Magnitude graph before correction: Magnitude graph after correction: The task is to make whole circuit and simulate it. Homework...

Hello, I am working on this previous final exam question. I am totally stumped with getting my answer with frequency. I believe my answer is correct with impedance, but I am having a hard time changing this to ω

Hello, I am trying to do this example problem in my textbook I have my KVL and KCL equations written. I am trying to use substitutions to find V_c1 in terms of Vs and also in terms of Vout, so I can find Vout in terms of Vs. However, it seems like no matter what sequence of substitutions I do...

Homework Statement I am given the following dynamic system. I want to find the transfer function, θ1(s)/T(s). The main body of the satellite, J1, acts like a large mass flying through space; space is essentially without friction and therefore no damping is imparted on the main body...

Homework Statement Homework Equations The Attempt at a Solution Hello, I am having serious problems being able to draw bode plots. At first the professor said to put everything into standard form with an (ω/ω_c)...and then there is also a table in the textbook with standard forms that don't...

Homework Statement For the circuit shown below: (a) Obtain an expression for H(ω) = Vo/Vi in standard form. (b) Generate spectral plots for the magnitude and phase of H(ω), given that R1 = 1 Ω, R2 = 2 Ω, C1 = 1 μF, and C2 = 2 μF. (c) Determine the cutoff frequency ωc and the slope of the...

Homework Statement The picture of the circuit is attached; I want to find |V_{A}/V_{J}|. This seems really easy but I haven't done circuit analysis in forever. Homework Equations Complex impedances, Z_{C} = 1/i\omega C, Z_{R} = R. The Attempt at a Solution First R_{A} and C_{A} are in...

How would I determine gain and phase margins for the following transfer function: G(s) = (0.38(s^2 + 0.1s +0.55)) / (s(s+1)(s^2 + 0.6s + 0.5)) We are learning about Bode plots but I am really struggling. I know that Bode plots display the relationship between magnitude vs. frequency and...

How would I estimate the transfer function for transmissibility given this plot: I am told that the data does not include phase information, but assume that the phase is 0 deg at low frequency and -180 deg at high frequency. I must provide a brief rationale for each component of the transfer...

In a long-distance telephone communication, an echo is sometimes encountered due to the transmitted signal being reflected at the receiver, sent back down the line, reflected again at the transmitter, and returned to the receiver. The impulse response for a system that modles this effect is...

Homework Statement I'm given the following diagram And asked to find the transfer function G(s) = \frac{X(s)}{T(s)} and seem to be having some difficulty doing so. Homework Equations The Attempt at a Solution Apparently this is free body diagram I seem to be having difficulty...

Homework Statement I just want to understand, how to calculate transfer function. Here is simple example: Homework Equations The Attempt at a Solution But in this circuit I don't understand how to do it. I have to find T and k as it is in preview. Which is the element for...

Homework Statement Given that you have found the following transfer function for a circuit, H(jω), what is the phase at very low frequencies? (jωRC-ω2LC)/((1-ω2LC) + jωRC) a:∏ b:-∏/2 c:+∏/2 d:0 The Attempt at a Solution I understand that the phase angle is ψ=arc tan(img(ω)/real(ω))...

Hi all, I have a question about the "missing cone" problem in wide-field microscopy. The Fourier equivalent of the PSF is the OTF. The OTF has a toroidal (doughnut) shape. I'm a little confused by how to interpret the OTF support in the Z dimension. In 2D and considering lateral...