Questions tagged [step-response]

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Find Gain K and Time constant K of a system from the time response [closed]

There is a given system G(s) = K / (sT + 1) of order 1. The responses are and the 2 inputs are u1(t) = 1(t) and u2(t) = Root(2) Sin(w2t). How can I find the K and T of the system.
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How To Calculate Length Of Sequences And A Suitable N?

I have been struggling to understand how to calculate the length of a sequence and also the minimal N to choose in order to avoid aliasing. Most sources tell me to take the (last non-zero value - ...
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1 answer
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What happens to the frequency response as a single sample Kronecker delta impulse widens into a square pulse, and then into two distinct steps?

1) Kronecker I was instructed here that a single sample Kronecker delta unit impulse function (goes from 0 to $A$ to 0 again in single sample) has a white noise type frequency response - all ...
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1 answer
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Not getting the same step response from Laplace transform and it's respective difference equation

I am trying to simulate a plant on a microcontroller. The transfer function of the plant is $$ G_{p} \left( s \right) = \frac{2}{\left( s + 3 \right) \left( s - 1 \right)} \tag{1} \label{1}$$ The step ...
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Max input of a system given it's transfer function and an assumed step change (beginner)

I have an exercise that gives me the following transfer function $$ \frac{0.5}{s+0.5} $$ and an assumed step change in the target of 20 I am asked to calculate the maximum input for the assumed step ...
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300 views

How to recover the LTI system step response by the known output and input signals?

Having the input signal as a step-like pulse and the output as its distorted version after passing through the system: is it possible to somehow recover the step response of the system? In the Figure ...
1 vote
1 answer
280 views

Deriving Step Response from Input and Output Data for Quadcopter PID Controller

I have logged gyroscope sensor data for roll(x), pitch(y) and yaw(z) axis and i want to plot their step response with Python to be able to tune the pid controller of my quad better. 1. I have found ...
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340 views

Convolution of step function with exponentials

I have a problem in signals and systems to solve which is basically math So suppose we have two functions x(t) = H(t) which is the Heaviside unit step function as input and an impulse response $$h(t)=...
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1 answer
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How to find system output by its step response?

Inspired by this post, I tried to reproduce the procedure described in the answer in Python considering rectangular pulse: ...
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0 answers
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How to suppress the strong initial value of the step function response

(Related to: https://engineering.stackexchange.com/q/14619) Quick question: I am getting a strong initial value and strong undershoot in the step response. How can I suppress it with the feedback ...
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Why does a root locus show that system is stable but unit step response of a system does not have a stable output?

From what I know about root locus is that if all roots are located on the Left Half of the S-plane the system is stable. That's why I expected the unit step response of a system to be stable. ...
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Fit a harmonic oscilator via step response

Suppose we are studying a dynamic system believed to be well modeled via $$ x'' + \frac bm x' + \frac cm x = \frac Fm$$ $x''$ - acceleration $b$ - damping factor $c$ - spring rate $F$ - external force....
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2 answers
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Convert filtering source C-code into difference equation

I'm struggling to convert three simple lines of code into a difference equation to calculate the frequency response. The C-code is as simple (and legacy), as ...
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1 answer
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Identification of properties of a given FIR filter

I have a FIR filter which is described via following transfer function $$H(z) = h(0) + h(1)\cdot z^{-1} + h(1)\cdot z^{-2} + \ldots + h(23)\cdot z^{-23},$$ where the coefficients have below given ...
1 vote
2 answers
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What is the intuitive interpretation of the transfer function of this system?

If I have the system that could be observed in the next Image: I want to know the transfer function, where the external force $f$ is the entry and $x_1$ is the output. The direction and positive ...
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3 answers
496 views

How to plot step response of a system with more zeros than poles(Without changing original transfer function)

I am trying to plot the step response of an electronic circuit(differentiator) using MATLAB but I get an error: ...
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1 answer
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Confusion regarding stability & step response?

Let's say we have a system (for example an integrator) whose step response has a negative slope as shown by the MATLAB code below: ...
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2 answers
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What is the optimal transient for turning on a harmonic signal with minimal bandwidth?

Given a harmonic signal of a certain frequency and amplitude, what is the optimal way of "turning on" this signal from zero to full amplitude within a given time window under the constraint ...
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1 answer
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Bode plot from from step response data

For quality control, I want to measure the frequency response of hardware I built. What I can easily generate on the hardware is a step response. Thus, I want to derive the magnitude and phase from ...
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How to find response of step function in matlab and plot transfer function?

I have an transfer function: $$\frac{Y(s)}{F(s)} = \frac{s^2+2s+3}{s^4+6s^3+13s^2+12s+9}$$ How can I find $Y(s)$ response of step function if $f(t)=\sin(5t)$ in MATLAB. And how can I plot the transfer ...
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Step response of a given input and output (Laplace or Fourier)

I am trying to calculate the step response of the following given: Should I use Laplace transform or Fourier transform?
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1 answer
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Guessing filters from responses to step signals

This is a cross-post from CrossValidated SE where I did get no definite answer. Consider a signal $X$ filtered by a kernel $p$ with finite support $[t_0,t_1]$ and $\int_{t_0}^{t_1}p(t)\,\text{d}t = 1$...
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319 views

Step response of bandpass fitler

I'm working on a virtual bass system and the signal flow is as follows Where NLD denotes the nonlinear device which introduces both odd and even harmonics, and z^-D is to compensate the group delay ...
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2 answers
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How can i derive step response in terms of impulse response from the convolution sum?

If it is discrete LTI system, How can i derive step response in terms of impulse response from the convolution sum?
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1 answer
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Impulse response for an LTI system

I'm new to signal processing and working my way through a textbook. There is an exercise where a causal LTI system is given that responds to a rectangular pulse. I have an exercise where a causal LTI ...
5 votes
2 answers
2k views

Which step response matches the system transfer function

A system has the following open loop bode plot: - Which one of the plots below describe the closed loop step response for the entire system? My attempt My initial thought was to look at the static ...
4 votes
1 answer
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How do I get a faster system response?

I have this model in simulink (the graph is my output): The step input has amplitude 0.5 m/s, and it steps up after 0.1 seconds. The gain $K_p=5$. The saturation block is to keep the voltage between -...
4 votes
1 answer
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Transfer function with blackbox modelling is too slow compared to real expectation

I collected this data from a robot that drives with its wheels up. The blue curve is the voltage and that is my input. The orange curve is the wheel velocity and that is my output. I want to create a ...
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Analyze the transient response of a system

Suppose I have a sytem with the following transfer function : $$H(s) = \frac{N_H(s)}{D_H(s)}$$ I would like a general method which is not dependant on the order of the system to analyze what would be ...
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how to find the inverse response of a system

For the system described by the differential equation below find its inverse zero-state unit step response $$\dfrac{d^2y(t)}{dt^2}-2\dfrac{dy(t)}{dt}-8y(t)=\dfrac{d^2x(t)}{dt^2}-2\dfrac{dx(t)}{dt}-3x(...
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Part 2: Root Locus, Transfer Functions and Unit Step Response?

I'm continuing my question referenced here: Part 1 Question / Problem Description Say I have a new Root Locus shown below Consider the generic feedback loop, and the transfer function $G(s)$ shown by ...
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1 answer
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Root Locus, Transfer Functions and Unit Step Response?

Consider the generic feedback loop, and the transfer function $G(s)$ shown by the following root locus plot. Where $\mathbf{x}$ denotes the open-loop poles and $\square$ denotes the closed loop poles....
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Is Step the same as an Impulse + 1/s?

Isnt a Step (as a Transfer function -> $ \frac{1}{s} $) and Impulse (trans fcn -> 1) therefore Impulse + $ \frac{1}{s} $ should be equal to a Step in Simulink ...
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What is a "jump response" of a filter?

I know how to determine if a filter is FIR or IIR, but I don't understand the question. What is a "jump response"?
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Poles and zeros from step reponse?

Is there a numerically robust method for calculating the poles and zeros of a discrete-time causal LTI SISO system given its response to a unit-step input? In the specific example I'm working on all ...
1 vote
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293 views

Convolution of Heaviside function with a sinc low pass, is it band limited?

Is the result of convolution of a heaviside function with a sinc low pass with cut off at fc, say 25khz, band limited ((sin(2 x Pi x fc x i))/(Pi x i))? I've been working it out in frequency domain (...
1 vote
2 answers
348 views

What is meant by "information encoded in time domain"?

Author on pg 292 claims the windowed-sinc "is not a filter for signals with information encoded in time domain", because its "step response has overshoot and ringing". That phrase, ...
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1 answer
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How to get Step Response from an Impulse Response in Simulink?

Im sorry if it seems like a trivial question but I am confused right now. Im currently watching my professors lecture. And he basically has $\lambda(t)$ as ...
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1 answer
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What is the step response curve of a second order low pass filter? And what if it is set for resonance?

I am doing a lot of audio synthesis DSP where I need to use low pass filters to shape the decay of an impulse. I understand that a one pole filter fed a discontinuity, say from a steady state of 1's ...
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1 answer
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How can one know the polynome equation based on the output of a system?

I came across this situation in my textbook: However I have no clue about how you can (starting from the stepresponse on the left), get the polynome equation on the right. Could someone please ...
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1 answer
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How to determine the step response given a transfer function?

I'm new to Signal Processing. I would like to know how to draw the step response given a transfer function. For example, given $G(s)=\frac{(1-\frac{s}{3})}{{(\frac{s}{0.1}+1)(\frac{s}{100}+1)^2}}\...
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Impulse and step response

While trying to determine the unit step and impulse response for a discrete LTI system I had several problems: $$ \begin{aligned} (Hx)[n]&=(Hx)[n-1]+\frac{1}{N}(x[n]-x[n-N]) \\x[n]&=(Hx)[n]=0\...
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Step response of third-order continuous-time transfer function

I have a transfer function of the form: $$H(s) = \frac{b\omega_n s^2 + a\omega_n^2 s + \omega_n^3}{s^3 + b\omega_n s^2 + a\omega_n^2 s + \omega_n^3}$$ If it matters, $a=b=2$. Is anyone aware of ...
2 votes
1 answer
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Finding impulse response of an RC circuit from its step response [duplicate]

I have to find the impulse response of an RC circuit (c up ). I have to find it from the step response $g(t)$. I found that $V_i - V_c - V_r = 0$ , with $V_r = V_u$ So $V_u = V_r = R I_r$ , with ...
1 vote
1 answer
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Sensor rise time compared to experimental step input rise time

I have a dynamic calibration system. With it, I am applying a experimental step input to a pressure sensor. The goal is to measure the step response of the sensor and use it to calculate the frequency ...
2 votes
2 answers
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How can I convert a step response that is described by the sum of two exponents to an IIR filter analytically?

If a system has the following step response: $$\begin{align} y(t) &= 1 - \Big(A e^{−t/T_1} + (1-A) e^{−t/T_2}\Big) \\ &= 1 - A e^{−t/T_1} - (1-A) e^{−t/T_2} \\ \end{align}$$ and I know the ...
2 votes
1 answer
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IIR filter design fitting step response

I have access to the step response of a system and I want to find its poles and zeros without knowing the order of the system. Consider an example of a step response of the system shown in the ...
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3 answers
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Is there a linear filter whose step response is an S-curve?

Is there a linear filter whose step-response (or ramp-response) is an S-curve? I think the properties I'm looking for here are (1) time-reversal symmetry, and (2) at least a continuous first ...
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Why use transfer functions than differential equations?

I have some simple questions regarding DSP and Control Systems, but found no simple answers. I just need simple and easy to understand answers, not complex answers with huge maths. Why we use ...
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unit step signal as sum of impulses from MIT OCW video

From MIT's OCW on Signals and Systems by A. Oppenheim, at 4:30 mark https://www.youtube.com/watch?v=jGk3w1b7UXQ&index=3&list=PLLNp7XoiSLQYygYw8Mzt763zZCQdzCZcd He said that by forming the sum ...