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Questions tagged [step-response]

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Finding the impulse response of an c.t LTI system through the step response

Say we have a continuous LTI system of which we know the analytical expression of its step response. Let's call it $y_{\text{step}}(t)$. Having $y_{\text{step}}(t)$ (and therefore also $Y_{\text{step}}...
Nyquist-er's user avatar
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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 ...
mike's user avatar
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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 - ...
Sugi's user avatar
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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 ...
Curious's user avatar
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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 ...
Diptopal's user avatar
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1 answer
359 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)=...
useeeeer132's user avatar
1 vote
1 answer
312 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 ...
Cenk's user avatar
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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: ...
Curious's user avatar
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1 answer
37 views

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 ...
Tom Callan's user avatar
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25 views

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 ...
Antony's user avatar
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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. ...
Eric Saginashvili's user avatar
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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....
Vorac's user avatar
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2 answers
103 views

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 ...
Jan's user avatar
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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 ...
Steve's user avatar
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2 answers
103 views

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 ...
Santiago Mercante's user avatar
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3 answers
543 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: ...
DSP_CS's user avatar
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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: ...
DSP_CS's user avatar
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1 vote
2 answers
70 views

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 ...
mattze_frisch's user avatar
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0 answers
26 views

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?
Mandalorean's user avatar
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1 answer
41 views

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 $\int_{t_0}^{t_1}p(t)\,\text{d}t = 1$...
Hans-Peter Stricker's user avatar
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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 ...
Ali DENİZ's user avatar
1 vote
2 answers
352 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 ...
DSP novice's user avatar
2 votes
1 answer
811 views

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 ...
Brain Damage's user avatar
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 ...
Carl's user avatar
  • 364
4 votes
1 answer
2k views

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 -...
Carl's user avatar
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4 votes
1 answer
83 views

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 ...
Carl's user avatar
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0 answers
190 views

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 ...
Jess's user avatar
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2 answers
787 views

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(...
Schach21's user avatar
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1 answer
592 views

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 ...
Clark's user avatar
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1 answer
356 views

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....
Clark's user avatar
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1 answer
387 views

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 ...
John's user avatar
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1 answer
105 views

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"?
Yousef Alnaser's user avatar
1 vote
0 answers
260 views

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 ...
Estacionario's user avatar
1 vote
0 answers
300 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 (...
Manuel Jenkin's user avatar
1 vote
2 answers
356 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, ...
OverLordGoldDragon's user avatar
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1 answer
2k views

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 ...
JLo's user avatar
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2 votes
1 answer
1k views

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 ...
John's user avatar
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1 vote
2 answers
157 views

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?
JW H's user avatar
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1 vote
1 answer
2k views

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 ...
mike's user avatar
  • 533
1 vote
1 answer
28k views

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}}\...
Kevin's user avatar
  • 113
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1 answer
662 views

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\...
dsisko's user avatar
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1 answer
2k views

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 ...
rhz's user avatar
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2 votes
1 answer
905 views

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 ...
Elena Martini's user avatar
1 vote
1 answer
288 views

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 ...
Mark's user avatar
  • 31
2 votes
2 answers
233 views

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 ...
adr's user avatar
  • 185
2 votes
1 answer
1k views

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 ...
shampar's user avatar
  • 338
1 vote
3 answers
2k views

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 ...
DSPBoy92's user avatar
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2 answers
2k views

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 ...
Emman D.'s user avatar
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1 answer
234 views

impulse response of a system from its step response;confusion

If the step response of a system is given as $$c(t)=(10e^{-5t}-2e^{-10t}+1)u(t)$$ then its impulse response is _______? My Approach: we know: $$h(t)= \frac {d}{dt} c(t)$$ Process(1): $$h(t)= \{ ...
Suresh's user avatar
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1 answer
1k views

Step response given impulse response $h = e^{-|t|}$

I was given the above homework problem and I know how the step response is achieved, but I'm not sure how to set up the integrals in order to evaluate the problem. I've attached my work, but it is ...
Lee Jordan's user avatar