The dose–response relationship, or exposure–response relationship, describes the magnitude of the response of an organism, as a function of exposure (or doses) to a stimulus or stressor (usually a chemical) after a certain exposure time. Dose–response relationships can be described by dose–response curves. This is explained further in the following sections. A stimulus response function or stimulus response curve is defined more broadly as the response from any type of stimulus, not limited to chemicals.
Homework Statement
Hi there, I've been trying to gain some intuition on how the convolution sum works, but as I dig deeper I am realizing that there is an issue with my intuition of signals and systems, in particular the unit impulse response.
My issue is trying to understand how a unit...
Hi folks,
My query is that...
As one can see that in the IF response curve the picture carrier is placed 6db down the amplitude curve. Such a placement modifies the output of video detector in such a way that the picture carrier lies at half point or 50 % of the total amplitude.
Now this whole...
I have a system that I have built in Simulink with a step input and scope output. I would like to measure the peak overshoot, settling time etc. In Matlab this can be done using the 'step' command and generating the characteristics from the Figure window. Is there a way of getting the same...
Homework Statement
Homework Equations
Find laplace of x(t) and h(t)
Multiply the laplaced values to get Y(s)
Find inverse laplace to get y(t)
The Attempt at a Solution
In book the circled term isn't there. Why does that go away?
Book gets y(t) as
In laplace why does the e5t term go away?
Homework Statement
Homework Equations
Derivative of step response is impulse response
The Attempt at a Solution
[/B]
I marked A cause it matches the other coefficients. But where does 9 come from in the last term.
I tried with laplace and got the last term as 9. But how to get that in time...
Homework Statement
Homework Equations
Use Laplace then multiply in laplace domain then do laplace inverseThe Attempt at a Solution
Book answer is A
I don't get the first term of eat in option A.[/B]
Homework Statement
Hello everyone,
In the following problem I have to find the unknown impulse response g1(t) given the input and output signals, as shown below:
(the answer is already there, at the moment I am trying to understand how to get there).
Homework Equations
[/B]
I have...
Homework Statement
In a report I am asked to assess the speed of response of various systems, however I am not exactly sure what this means, be great if someone could explain
The Attempt at a Solution
Step response plots were produced for each simulation and MATLAB was used to assign...
Homework Statement
Homework Equations
In Capacitance current leads voltage
In Inductance current lags voltage
For oscillations R = 0
3. The Attempt at a Solution
Since current is leading voltage in above question, impedance is capacitive.
Book answer is D for both.
How?
And for 3rd...
Hey guys I was just studying for finals and I came across something in my textbook that either wasn't explained properly or something I just don't get.
So this page explains that the coefficient of y_n[k] is A_0, which is represented by b_0/a_0, I can see that a_0 is determined by multiplying...
I bolded the portions I need help with.
1. Homework Statement
A series circuit consists of a resistor with a resistance of 16 ohms, an inductor with inductance of 2 H, and a capacitor with a capacitance of 0.02 F.
At time t = 0 there is no charge on the capacitor and no current in the circuit...
1. QUESTION
i'm dealing with a 3op instrumentation amplifier.
say i have a circuit gain of 100
and i have an INA with a gain bandwidth product of 2MHz.
the two buffer differential amplifiers are at 100k
the open loop gain is then 2MHz/100k = 20
this frequency of 100k is going to effect the...
Hi,
I want to understand the meaning of unit impulse response when time flows. An example is given below:
In the example the left signal depicts a δ[n] function value of which is 1 only at n=0. The LHS signal is response of the system to the unit impulse.
I want to understand how to...
This is what I have and I was wondering where C2 might go if I make apply the hybrid pi model on this circuit. I know that all the DC Voltages should be shorted if I were to make use of an equivalent circuit, so that in the hybrid pi model R1 should be in the input and R3 in the output. But what...
So this is an example given to me in one of the guides. I am somewhat confused as to why R and R1 are considered parallel when the switch is closed at t=0.
I thought that the two resistors cannot be parallel since there is a voltage source between them.
One hypothesis I had was to treat it...
I never really understood the difference between these two. I believe I've heard someone say that all residential sprinklers are quick respons sprinklers, but not all quick respons sprinklers are residential sprinklers. Is that accurate? Even if it is I still don't get what differs the two...
I know that in a para magnetic material the magnetization increase on cooling. What will be the same effect on a diamagnetic material,considering the fact that Curies law doesn't hold good on diamagnetic materials.
My hope is to explore [the existence of] dynamic correlation of plant tissue (leaves to start with) electrical resistance to stimuli. I've heretofore conducted experimentation reasonably sure enough of the techniques and materials I'll need that I've never posted for such advice in a public...
Ive observed my own plants for quite some time now, and of course done my studies on nutrition. What I've recently learned (observed) is that when a plant lacks water, the flowers seem to be the last ones standing, while possible death from other factors preserves older or newer leaves...
I was reading the book "finite temperature field theory" (https://www.amazon.com/dp/0521820820/?tag=pfamazon01-20) and encountered a problem on page 111 about linear response theory. Consider a system with some conserved baryon matter perturbed by a source J_\mu, coupled to the baryon current...
So what if my response variable, y, is say a scale. For example, ranking, something like 1-10. How would I transform the response to make linear regression work?
Homework Statement
Discrete time causal LTI system has impulse response h(n) = (-1/2)^n, n≥0.
a)Find transfer function of given system.
b)Find frequency characteristics of system.
c) Find response for u(n) = μ(n)-μ(n-4)
The Attempt at a Solution
a) Either from definition, or from table...
Hello,
I am trying to estimate transfer function of unknown LTI system, given output and assumed input as point process.
I have measurement of output, while input, which is assumed to be point process, could be created synthetically using known times and amplitudes.
My questions:
1. What is...
I am trying to derive the DC electrical conductivity using the pertubation theory in Interaction picture and linear response theory. If working in a energy eigen basis and using the density matrix, the Fourier transform of the susceptibility can be written as
##\chi {(\omega )_{ij}} =...
I have a signal that I am able to calculate through an acoustic model for airfoil noise. I am told that the model solves for a narrowband frequency response, however, my measurement data is provided in third-octave band representation.
How do I convert my current dataset to the third octave...
Homework Statement
I have worked out the transfer function of a block diagram in 1st order form To = (K/1+ts) and the 2nd part of the question asks to calculate the time for the output temperature to change by 80% when k1=1, k2=2, k3=3 and k4=4
Homework Equations
where K = (k1k2)/(k1k2k4+k2k3)...
Homework Statement
I have an impulse response h(n)=e^(0.1n)*[u(n)-u(n-8)] and an input x(n)={0,1,2,3,0}, how do I find the output y(k)?
[/B]Homework EquationsThe Attempt at a Solution
i don't even know how to solve. should i try convolution or should i substitute the values of x(n) in h(n)...
as you can see In the image I provided I have derived the equation for i(t) and v(t).
On circuit A I use a passive sign convention(current flowing from positive to negative) on the inductor, hence the equation and their corresponding graph.
i(t) is decaying exponentially, v(t) is decaying...
as you can see In the image I provided I have derived the equation for i(t) and v(t).
On circuit A I use a passive sign convention(current flowing from positive to negative) on the inductor, hence the equation and their corresponding graph.
i(t) is decaying exponentially, v(t) is decaying...
Homework Statement
I am working on this question from the textbook:
Homework EquationsThe Attempt at a Solution
I would use Cramer's method and solve for i2, then get the characteristic equation and find the roots. from there I would attempt to find the natural response. I am not sure how I...
Hello All,
I am trying to learn about lti systems and what not for my research work but before I can apply my research I have to understand the fundamentals, which is what this question is kind of about!
I want to find h(t), the impulse response of an LTI system where my input and output are...
Hello everybody,
I've got a gap in my understanding regarding NMR systems, and I hope you can help: if the magnetisation of a proton is M0 in the Mz direction initially, a 90ox-RF-pulse will change the magnetisation to M0 in the My direction immediately after the pulse. But what happens when a...
I have drawn a bode plot(freauency response), but it is not the same with one which is attatched in paper.
Using this data, I have drawn the graph using matlab.
I just put data into second order vibratoion system which is given in the paper(eq 18)
Peak location of graph in paper is just in...
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
I understand how they got the answer and the calculations they did but I have 3 questions about this screenshot.
1) Why the box in red is the transfer function? Is there a way to tell this from the Y(s) = ... expression?
2)...
Homework Statement
[/B]
Find the natural response
V1 is a squarewave
Homework Equations
KCL, KVL
The Attempt at a Solution
How would I find the natural response using differential equations?
Am I doing it right?
by KCL
\frac{V_1-V_{in}}{R_1}+\frac{1}{L}\int_{0}^{t}V_1(t)dt +...
This isn't a homework question! I posted the question for context purpose.
So I understand that at t>0 the switch moves to b. Hence the first circuit diagram (pictured) I understand.
However for the 2nd circuit diagram (picture 2) when asked to transform to s domain. Why does this answer...
Homework Statement
This problem is adapted from the book "Transistor Circuit Techniques" by G. J. Ritchie.
Given the following circuit:
(1) Calculate the AC gain of the circuit, for frequencies where C1 and C2 can be considered as short-circuits.
(2) Sketch the low-frequency response due...
Homework Statement
Find X [/B]
Homework Equations
V1(t)=8cos(12000t)
V0(t)=Xcos(12000t+θ)
The Attempt at a Solution
[/B]
I've tried quiet a lot actually, but all in vain. Seems like I am either misunderstanding something, or i am just too tired to think at the moment. Either way, I am...
Homework Statement
Find the forced response of VC(t)
Homework EquationsThe Attempt at a Solution
W=1000
\frac{d^2V_C(t)}{dt^2}+\frac{R}{L}\frac{dV_C(t)}{dt}+\frac{V_C}{LC}=\frac{Vin}{LC}
V_C(t)=Acos(1000t+\theta)
Plug in Vc(t),R,L,C into equation 1...
Hi!
I don't know if I'm in the right forum of this site but I'm trying anyway. I was just wondering if someone could explain how the step- and impulse response is related to an angular position (of e.g. a spacecraft )? Just a little about the theory since I am trying to actually understand...
9121. Problem
If we assume that the initial voltage, Vs, is equal to zero, and it rises to five volts at t = 0, derive an expression for the voltage across the capacitor as a function of time. That is, calculate Vc(t)
2. Homework Equations
this is a series RLC so I'm trying to calculate...
Homework Statement
Homework Equations
V=IR
H(w) = Y/F = Impedance of circuit
The Attempt at a Solution
I wanted to simplify this circuit before I find any impedance, but I am not sure if I did my source transformation correctly. Can i combine the f(t) current source with the 1ohm in...
Homework Statement
Homework Equations
The response of a spring mass system can be simplified to equal:
x(t) = (x0 - (F0 / (k - mω2))cos(ωnt) + (x'/ωn)sin(ωnt) + (F0 / (k - mω2))cos(ωt)
where
x & x' are the initial conditions
ω is the exciting frequency
ωn is the natural frequency
k is the...
Hi,
I am working on a 2-way Fluid structure interaction project related to RBC in capillaries.
I have designed a micro-scale shell RBC and a fluid medium which has diameter just above the dia of RBC. In the transient structural analysis I have defined two fluid surface interfaces: 1. Exterior...
Hello I am developing a low noise preamp and would like to change the roll off of my design to sharply decrease the gain for very low frequencies "1-5Hz". The results of my current design are as follows.
I would need something that looked more like this..
I understand the simple equations...
Homework Statement
The question is featured in the image below. I know the methods to calculate modal mass, stiffness etc, I'm just not too sure how to model both the distributed and lumped masses together.
Homework Equations
Modal Mass, M* = ∫m.φ^2(x) dx
The Attempt at a Solution
Say for...
Homework Statement
This is actually part 3 of the question. Part one was to form 7 equations to form a 7x7 matrix, part 2 was to solve it, which I've done. This question is to be done with Matlab, by the way.
Part 3:
Homework Equations
Frequency response = Vout / Vin.
The Attempt at a...
Hey guys, recently I have do some self-study on the ground response parameters on cohesive and cohesionless soil.. I made some deduction but I cannot confirm if it is correct or not, thus needing the help from the PF community. The deduction is as follows;
I need explanation for the occurrence...