Response Definition and 486 Threads

Hi, I have a discrete system with input x(t) and output y(t). Using the formula frequency response H(f) = y(f)/x(f) in the Fourier domain. Does this mean to find the frequency response I have to take the Fourier Transform of y(t) to get y(f) and divide it by the Fourier transform of x(t) ...

I am having a play about with the differential amplifier using a LM324 and have shorted both inputs and set them to 3V sine wave at 100Hz. i understand that in a ideal op-amp the output should be 0, how ever i am unsure of what is happening at the output... i increase the frequency every 1Khz...

Homework Statement I have a problem where the circuit is as follows: (pic attached I hope) but if you can't see it it's just a power source (AC), resistor and inductor with 2 terminals across the inductor (from were you measure the voltage). I want to derive the response function, and I am...

I get close to the answer but just not seeing where the integers in the answers are coming from, perhaps forgetting a constant? This is a EE circuit analysis class. Homework Statement Given y(t) = dx(t)/dt a. Find x(t) if y(t)= 0 : t<0; e^{-t} : t>0 b. Find x(t) for t=1 if x(1)=1 and...

Hi: I'm building a computer simulation for a 3 gear train system. So far the gears rotate with mouse movement horizontally. Now I'm adding a fictitious motor and braking system to start/stop rotation with mouse clicks. I multiplied the rotation angle by [1-e(-t/TC)] to simulate exponential...

Homework Statement Sketch, on a set of common axes, waveforms to represent the transient response of circuits having transfer functions with the following parameters: a) ζ = 0.5, ω = 1×10^3 rad s^-1 b) ζ = 0.2, ω = 2×10^3 rad s^-1 c) ζ = 2, ω = 1×10^3 rad s^-1 Homework...

Homework Statement I'm having a slight problem with the question below. A temperature control process has a first-order response with a step response time of 12 seconds. In selecting a temperature sensor for the control system for the process, for what maximum value of sensor time-constant...

Hello, I am an amateur designing a drone. The mechanism which stabilizes it, has a worm gear connected to a gear which moves the motor, i.e in the system we have 1: Servo(with built in gears) 2: worm gear which servo moves 3: gear which worm gear moves 4: another gear which gear number 3...

Hi, I am a beginner with the use of relap. So this might be a bit silly. I am studying the heat transfer between a fuel rod and a single channel of coolant. One of the inputs for the heat structure is the direct moderator heating multiplier. What is that and how do I find its value? Thanks...

What does spectral response mean in context of filters and delay lines?

I have this transfer function which i don't know why it is overshooting due to an step input. http://snag.gy/Vh1SM.jpg Could someone explain why it does that. It's it a close loop transfer function, where I've designed a controller for it, but for some reason, eventhoug all my poles...

Homework Statement 2a) here: http://media.collegeboard.com/digitalServices/pdf/ap/ap14_frq_Physics_C-E-M.pdf Homework Equations The Attempt at a Solution Would the answer be: stays same -- increasing -- decreasing -- stays same? By Lentz's law, then right hand rule?

I think I mostly understand how this works, and it makes intuitive sense. However, I'm a little bit confused by one step in the proving of this. On the second page of the attached PDF, there is this statement: x' + kx = (r/k + c2)δ(t) ... (followed by the cases of t<0 and t>0 What comes...

Hi I am trying to model SHM in Simulink as shown here: http://pundit.pratt.duke.edu/wiki/Simulink/Tutorials/DiffEq I have tried using different values of spring constant and damping to get instant response to the input force. I am measuring the displacement calculated by SHM. The force changes...

Homework Statement Find the zero input and zero state response for the following system y''(t) + 3y'(t) + 2y(t) = 2 x'(t) - x(t-1) where x(t) = (2e^-t)*u(t) U(t) is the step function Homework Equations Y = Yh + Yp Y = Yzsr + Yzir The Attempt at a Solution I can't find...

Homework Statement for the circuit below, compute frequency response H(w) using method of complex impedence. then if x(t) is input signal (we have equation but, say it is A*sin(wt), find y(t). Homework Equations transfer function H(w)=vout/vin The Attempt at a Solution R || L =...

I'm doing my best to understand signals and systems. So I will give an example of what I'm talking about. you have a pressure transducer that has a 24vdc power supply and a voltage of 0-5vdc to measure the change in pressure, with the 0-5vdc connected to an analog to digital converter. With the...

Homework Statement Homework Equations The Attempt at a Solution I understand everything except how they got i(∞). It seems like they used current division on 3A. But where are they applying current division and where did they get 3A? Also, in the last step, they magically added u(t). Where...

Homework Statement I attached a picture of the circuit. f(t) = (e-t)u(t), VC(0-) = 2V, iL(0-) = 1A Obtain an expression for the total response, y(t), for the given system by finding the natural and the forced responses. Homework Equations v(t) = Ri(t) v(t) = Ldi(t)/dt v(t) =...

Homework Statement Numerically integrate and plot the response of an underdamped system determined by m= 100 kg, k= 20,000 N/m, and c = 200 kg/s, subject to the initial conditions of x0 = 0.01 m and v0 = 0.1 m/s, and the applied force F(t)=150cos(5t). Then plot the exact response. Homework...

Homework Statement I am having some problems to derive Inverse Fourier transform of sinc function & exponential function. It's actually for getting the Impulse response from the given frequency response [which comprises of both sinc function & exponential function]. Also need to know the...

Homework Statement 1. An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth, frictionless wall. If the ladder has a mass of 20 kg and it makes an angle of 60° with the ground, find the force of friction of the ground on the ladder. Homework Equations...

Homework Statement Find the expression of the current "i" by terms of time. The answer is 3e^(20t) Amps Homework Equations i(t)=I_final+(I_initial-I_final)*e^(-t/τ) The Attempt at a Solution I have found the initial current as 3 amps. However, after the switch had been changed for too long...

Homework Statement Given this difference equation y(k) (of a bandpass FIR filter) ... y(k) = \frac{1}{K^2} \sum_{m = k-K+1}^k \; \sum_{n = m-K+1}^m x(n) - \frac{1}{L^2} \sum_{m = k-L+1}^k \; \sum_{n = m-L+1}^m x(n) ... how does one derive this frequency response H(f)? H(f) = \frac{1}{K^2}...

I'm working on a problem which has two parts. 1. Find the frequency response function H(f) for a circuit. A hint given is to find H(s) first and then plug in s=j2\pi f to get H(f). 2. Find v_{out}(t), which is the response of the LTIC system to the periodic input signal v_{in}(t) =...

y(n) = a * y(n-1) + K * b * x(n-1) + K * x(n), where |a| < 1. (a) Calculate its impulse response, h(n). the homogenous equation is l^n-1(l-a) = 0 => 1 = a so h(n) = [ka^n ] u(n) (b) Calculate its step response. I can't seem to find any examples online and my book says nothing...

I'm working on a problem and one part of it is finding the zero-input response of a system in the frequency (or "s") domain. The zero-state response can be easily found in the frequency domain, it's just: Y_{zs} = X(S)H(S) But I can't for the life of me find the equation for calculating...

Homework Statement http://imgur.com/tJEPgbA http://imgur.com/tJEPgbA Homework Equations The Attempt at a Solution I started by focusing on the left Op-amp provided. My methodology to solve this question was essentially to assume a virtual short circuit so that the negative...

Homework Statement 3. (12 pts) Consider the causal FIR filter with {bk } = {1, 4, 5, 4, 1}. (a) What is the impulse response of this filter (in terms of delta functions)? (b) What is the frequency response of this filter? Simplify using Euler’s inverse formula. (c) What is the output y[n] of...

i would to know why whenever i increase my freq hertz, my gain db will decrease?

The transfer function of a passive bandpass filter has one zero and two poles. The filter is: Signal -> L -> C -> R -> Gnd, where the signal is the input and the voltage across R is the output. H(s) = \frac{sRC}{s^2LC+sRC+1} Initial value theorem states that it's impulse response has...

Hi, I have been given a question which involves analysis of a series RC circuit. The system in question has a 4Ω resistor in series with a 1000μF Capacitor (the capacitor is to be considered as completely uncharged before t=0). There is a 12V supply in the circuit. At t=0, a switch is...

Homework Statement I have a circuit containing an inductor, 2 resistors and diode in series however there is also a switch. The Attempt at a Solution I thought that when the switch is closed there would be no current flowing through the right side of the circuit (resistor and...

Homework Statement =137200878&filters[recent]=1&sort=1&o=0"]http://s741.photobucket.com/user/pforpashya/media/studybitch/untitled_zps4cac3f38.png.html?filters[user]=137200878&filters[recent]=1&sort=1&o=0 Homework Equations The Attempt at a Solution Well I already got the solution and also...

A clinical overview of diet and measures of inflammation response - like C Reactive Protein levels. http://www.ncbi.nlm.nih.gov/pubmed/21139128 This shows a basis for generating an Inflammation index for foods. The higher index number the more inflammation was supressed in ~500 test subjects...

Homework Statement Car Dynamics f(t)→ \frac{\frac{1}{M}}{s+\frac{D}{M}}→y(t) Applied Force Velocity Homework Equations M=1,000 kg and D=1000 kg/s Where f(t) represents the input force and y(t) is the output velocity. M is the Mass and D...

1. Homework Statement For this problem, the diagram of the circuit is attached. It was assigned to find the frequency response function of the circuit.2. Homework Equations E_o/E_i= -Zf/Zi3. The Attempt at a Solution I know for the top branch of the circuit, it has a negative feedback loop...

Homework Statement In the above diagram, iin(t) = -0.5u(-t) + 2u(t) A R = 2 Ω L = 1 H C = 8 mF Find the zero-input, zero-state, and complete responses of vC(t) and iL(t) for t > 0. Homework Equations σ = R/2L for series RLC circuits ωn = 1/(sqrt(LC)) for RLC circuits ωd =...

Following on from my (still not quite solved) question here: Calculating event time using gsl_poly_solve_quadratic I'm now looking to calculate the collision response (new linear velocity vector) for the sphere after a collision with a line (rail). The current code I'm extending has two...

This began as homework that our Physics teacher set us. However, for some reason he decided no to collect it. I am curious as to whether or not this display my understanding of the topic well as communication is main area my teacher believes I need improvement in. Homework Statement Write a...

Homework Statement The switch in the circuit in the figure has been open a long time before closing at t=0. Find iL(t) t>0 Express your answer in terms of t, where t is in milliseconds. https://www.flickr.com/photos/84781786@N03/8899251427/ The Attempt at a Solution We simplify...

Homework Statement F(w) = a / [1 - be^(-jwT)] where a and b are constants Find the magnitude of this filter response Homework Equations e^(-jX) = cos(X) - isin(X) The Attempt at a Solution the answer is a/ √[1-2bcos(wT) + b^2*cos^2(2wT)] but I can't seem to get rid of...

Homework Statement A digital filter is defined by yn = xn - n-2 - 0.81*yn-2. At what frequency, in terms of fNyquist, is the filter response zero and maximum? Homework Equations H(z) = Y(z)/X(z) The Attempt at a Solution I figured out that H(z) = [z2-1] /[z2 +0.81] and...

Homework Statement A partcile starts att he point (1,0) and t=0 and moves along the x-axis so that at time t≥0 its velocity v(t) is given by v(t)= \frac{1+ t}{(1+t^2)} A) Determine the maximum velocity of the particle. B) Find an expression for the position s(t) of the particle at time t...

Hi everyone, I'm a new member but it's not the first time I look at the forum. Well, I don't know if this is the right section to post my question. I think it is related to quantum mechanics interpretation too. Anyway, let's have a look at my problem. I've computed cross section for photon...

I attempted by inputting u(τ-t)u(t-τ) into the second part of the integral. Since I want to change the second part of the integral to go from [+∞, -∞]. And as for first part of the integral I added a u(t-τ) term after the x(τ) to change the integral from [t,-∞] into [+∞, -∞]. I am not sure if I...

Homework Statement For the circuit below, assume the source phase angle is 0° Write the differential equation which would allow you to find the voltage response across resistor R2. Using the General Solution for the solution of such a differential equation write the complete...

Hello, Consider I have a linear time-invariant (LTI) system, with ##x(t)##, ##y(t)##, and ##h(t)##, as input, output, and impulse response functions, respectively. I have two choices to write the convolution integral to get ##y(t)##: $$ 1)\ \ \ y(t) = \int_{0}^{t} h(t-t')x(t')dt' $$ and...

I have attached an image of a ''brick-wall'' band pass filter. Can someone please help me find the expression of frequency response for it? Homework Statement Homework Equations The Attempt at a Solution

Homework Statement I have attached the photo of the circuit. My doubt in the circuit is that, I could not exactly figure out what the diodes do. The description says it is used to set the input of the op-amp to 1.6V above v-. But how exactly does it achieve that? Can somebody show it...