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.
Suppose that y(t)=x(t)\ast h(t).
(\ast denotes convolution)
Here are the signals:
How to find h(t) in time domain? Does there exist such h(t)?
Thanks in advance.
It seems to me that the recent deeds of ……… ………. cast a serious aspersion on the reputation of higher learning and the worth of knowledge in general. That is a depressing if not completely unacceptable predicament in many ways. I don’t know where he was studying, with whom, in what topic area...
Can someone please explain the frequency response of sampled data system.
Why is there a spectrum at 0, Fs, 2Fs, 3Fs. (Fs - nyquist sampling frequency).
Shouldn't it be just from zero to Fs/2 ?
See fig. 2a in this link - http://www.maxim-ic.com/app-notes/index.mvp/id/928
Hi all
Please help me with this question, thanks a lot.
My attempt on this question is that i can calculate the damping ratio from the magnitude diagram, approximately 0.16
I can't do more than that, please help. I will be grateful even if you pointing me a direction solving this.
cheers
Hi all.
I'd like to ask you a question. I need to find an equation as to plot the frequency response of an SML photodiode in the MATLAB environment.
Can you help me?
Thanks in advance for your reply.
Regards,
Steven
Hello,
A project I am working on currently requires me to test how capacitors in our circuit react to change in Humidity. As expected, the experimental results suggest that capacitance goes up with increasing humidity, as the electric permitivitty of air surrounding capacitor increases...
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The frequency-domain uniqueness theorem states that the solution to an interior electromagnetic problem is unique for a lossy...
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Homework Statement
Two identical circuits are cascaded, without the second circuit having any loading effect on the first circuit. If the laplace transform of the impulse response of the cascade is 4/(s+1)^2. a)determine the impulse response of each circuit alone as a function of time.
b)if...
Homework Statement
An LTI digital system with impulse response h[n] = 2(1/4)^n u[n-1] produces an output y[n] = (-3)^n u[n-1]. Determine the corresponding input x[n].
Homework Equations
I believe that Y[z] = X[z]H[z]
The Attempt at a Solution
So I started by finding the...
Hello,
I am mounting a component onto structure and I need to determine the maximum force input into the component.
My system can be represented by a base driven two degree of freedom oscillator:
http://www.freeimagehosting.net/newuploads/xowmr.png
I need to determine the force...
Consider the passive high-pass filter that consists of a resistor (R) and a capacitor (C). The frequency response is
H(\omega)=\frac{j\omega C R}{j\omega C R + 1}.
What would be the impulse response of this high pass filter? This question translates to how to evaluate the following Fourier...
Homework Statement Hi guys
I want to know how to plot time responce for optimal tracking problem.
I have the following information
state equation
dx = AX+Bu
Y =Cx
want to track a comand z= [z1;z2] constant
I know that we need to find the feedback gain by
sys= ss(A,B,C,D)
[K,S,E] = lqr(sys,Q,R)...
I've been told that to calculate the difference equation of an LTI system, you simply take the sample values of the impulse response as the coefficients of the x[n-k] terms in the difference equation. i.e. if h[n] = {1, 0.5, 0.25, 0.125} for n>=0, then y[n] = x[n]...
Hi guys
I just stepped into the electronic fields, I have some problems confusing me a lot
I read my lecture notes but I was confused by a term transient response modes
From my lecture notes, it describe this term in linear/first order and second order system
But I'm still confused
Like...
Homework Statement
How do i find the impulse response, h(t), given the following?
f(t) = 8t u(t)
y(t) = (-2e^-2t + 8e^-t + 4t - 6) u(t)Homework Equations
f(t) convolved with y(t) = h(t)
The Attempt at a Solution
I thought that you divide out y(t) by 8t to make f(t) = u(t) then take the...
I'm working on an analysis problem using Abaqus. I would like to compare my results with an exact equation. My problem is modeled as a simply supported beam with a lumped mass at the end. The equation that I'm using for the exact solution is as follows:
k=3EI/L3
ωn=\sqrt{k/(M + 0.23m)}
How do...
I am currently conducting a project where a yacht will be suspended in air by two straps which are connected together by two poles. The poles will be mounted on a barge and therefore I want to find how I can relate the angle of heel (\varphi) to the two angles. Although the yacht will remain...
tried posting in homework help, but haven't received a response
would appreciate any input!
original topic: https://www.physicsforums.com/showthread.php?t=584077
the problem: http://desmond.imageshack.us/Himg839/scaled.php?server=839&filename=truss1.png&res=medium
i can't figure out...
Ok,
I've already posted this same question in another forum section but probably it was the wrong one and the post was deleted, according to the rules. My apologies for the big mistake. Sorry. :approve:
I try to re-post the same question here, hoping it is the most suited section.
I'm...
Hi all,
I hope that I'm posting in the right section of the forum. If not, I kindly request a moderator to move the thread to the proper section. Thanks in advance.
I'm currently working on a prototype of a 3d simulator in which entities of different shape and mass move possibly colliding...
Homework Statement
Find the impulse and frequency responses of the following systems:
1. y(n) = \frac{1}{N+1}\sum_{k=-N}^{N}(1-\frac{|k|}{N+1})x(n-k)
2. y(n)=ay(n-1)+(1-a)x(n), where 0<a<1
Homework Equations
The Attempt at a SolutionOk so for 1. I look at h(n) which is...
Homework Statement
We did a lab analyzing this inverting, negative feedback circuit for a 741 op-amp:
We measured the closed-loop gain and phase shift of the signal for several values of the input frequency with R_2/R1=1000,R_2/R1=100 and R_2/R_1=10. The gain curves all looked like...
Hi people.
I started my AC circuits course in college, but this stuff is either too tough or I probably don't have some math prerequisites.
By the way, I'm just starting my differential equations course, but I haven't had any time to study just because AC circuits won't let me make any...
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I'm taking a fourth year time-series analysis course for Physics students.
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Let us consider a simple physical system consisting of a resistor (with resistance R) and an inductor (with inductance L) in series. We apply an input voltage a(t) across the pair in...
i have a coax cable that will be used in data transmission. i have measured the open and short impedance and then characteristic impedance(Zo) for the cable. Eventually I will have a transmitter with Z_source in one end of the cable and receiver with Z_load at the other end of the cable. Is it...
Homework Statement
Simulate the system to look at the output response with a unit step input applied i.e. use the
step command. Confirm the values of K and τau from the simulated response are the same as
those you have entered into the simulation. Note that the step command can be used with...
I’m interested in audio design and was messing around with NI Multisim building some basic filters. I created a 2nd order low pass filter with capacitors and found that the 2nd stage of the filter impacts the frequency response of 1st filter as illustrated below.
This would seem to indicate...
Homework Statement
IIR filter with poles at .7±j0.2 and zeros at 0.2±j0.7
Calculate H(f) and the Differance Equation when the DC gain |H(f=0)|=4
The Attempt at a Solution
I know to find H(f) I can evaluate H(z) along the unit circle. so H(z) evaluated at z=exp(j2pifT)
However...
Not really sure whether this question belongs here or not (if it doesn't, help move?).
So I was reading my electronic circuits textbook and am at the section of underdamped RLC unforced response, and the book mentions the natural response as
v_{n} = e^{-\alpha\cdot t}(A_{1}\cdot...
Homework Statement
Calculate the step response of the system (i.e. response to x(n) = u(n)
Previously calculated the impulse response becomes h(n) 3/11 (5/8)^{n} u(n) + 5/22(1/8)^{n}u(n)
Homework Equations
H(z) =\frac{Y(z)}{X(z)}
u(n) =\frac{1}{1-z^{-1}}
The Attempt at a...
Im struggling to do the following question. Any help would be appreciated
A following system has the following difference equation
y(n)+ 1/8y(n-1) - 5/8y(n-2)=1/2x(n-1)
First part is to calculate the system transfer function using the z transform. Then get the frequency response and...
I undestand the following concerning the frequency response function;
Frequency response function is a fundamental measurement that isolates the dynamic properties of a mechanical structure.
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Homework Statement
The question gives a transfer function. and we are asked to put it into pole zero form and then we are asked to sketch the positions of the poles and zeros of the system on the complex plane and then sketch the impulse response corresponding to each pole.
i have...
An input of 2.δ(t) is applied to a system and produces the response
y(t)=6.e^-2t - 4.e^-3t
Find an expression for the systems frequency response. The method used would be great too. I know there's some Fourier transforms involved.
In my ODE course I learned that for a time invariant operator p(D), if p(D)x=q(t) then p(D)\dot{x}=\dot{q}(t).
Then the professor "justified" that the derivative of the unit step response, v(t), is the unit impulse response, w(t), because the derivative of unit step function is the Dirac...
Hi
I am a bit unsure about terminology and method, so I would like to discuss this with anyone who knows anything about this.
I'm examining the properties of a network of parallel capacitors. I have calculated an impedance versus frequency curve, Z(f), using complex impedance of the...
Why is frequency response an important characteristic of an amplifier?
in this situation we are using a transistor and had to calculate gain using specified frequencies
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My understanding of contemporary electronics is not as strong as i...
Hi,
I've done a response surface analysis, resulting in an equation of the form:
P= A + B*X + C*X^2 + D*Y + E*Y^2 + F*X*Y
Where A,B,C,D,E, and F are known values.
I want to rearrange the equation so I can get a polynomial describing when P=0, but I'm stuck.
Any suggestions...
for a given spring/damper system the equation of motion is:
[PLAIN]http://img600.imageshack.us/img600/2140/equation1.png
where x is the displacement of a mass from a fixed point
d is a damping constant
L1 and L2 constant lengths
k1 and k2 are 2 spring constants...
Homework Statement
In the circuit shown below the switch has been opened for a very long time and closes at
t = 0. Calculate the output voltage VO at:
1: t = 0−; 2: t = 0+; 3: t = t1 = 24 µs; 4: t → ∞.
In the circuit shown below the switch has been closed for a very long time and...
Homework Statement
In the circuit shown below the current source has been switched on for a very long time. Find the DC current in the inductor and the DC voltage across the capacitor.
The attempt at a solution
I replaced the inductor and the capacitor with a short circuit and...
I'm trying to figure out how to calculate collision response in a simulation I'm working on. Here are the details:
2D
Objects are made of axis-aligned edges and do not rotate
Object masses are whole numbers
Collisions are completely inelastic
No friction
Collision/separation times are...
Homework Statement
x(t) is input, h(t) is the impulse response, y(t) is output
Find the system response to the input x(t)
x(t): http://img10.imageshack.us/img10/5157/55570988.jpg
h(t): http://img593.imageshack.us/img593/1079/52492104.jpg
Homework Equations
Now I know the...
Homework Statement
A world-class runner can complete a 100 m dash in about 10 s. Past studies have shown that runners in such a race accelerate uniformly for a time tu and then run at constant speed for the remainder of the race. A world-class runner is visiting your physics class. You are to...
I am reading a book on Control Theory by Norman Nise.
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I have posted a screenshot of the page http://www.flickr.com/photos/66943862@N06/6134272368/sizes/l/in/photostream/" .
I understand upto Eq 4.2...
Hello,
am having an understanding problem, about an exercice on LTI systems with unit sample response.
i've been given the graphical depicted output y[n], and the following output x[n]= u[n]-u[n-2]
the system is as follow
x[n]----> h1[n]----->h2[n]------>y[n]
with h2[n]= s[n] - s[n-1]...