Purchase Solution

Matching of time waveforms using inverse Laplace transforms

Not what you're looking for?

Ask Custom Question

The waveforms of FIGURE 2 were produced by the circuit of FIGURE 3. In FIGURE 3, LAP1 is a Laplace block transfer function.

Match each waveform A, B, C and D with its causing transfer function (1), (2), (3) and (4) given in TABLE A.

The filter responses to be matched with the waveform options are

a) 1/{s*2 + 2s + 2}

b) 1/{s^2 + s + 2}

c) 1/{s^2 + 0.5s + 2}

d) 1/{s^2 + 0.4s + 4}

Attachments
Purchase this Solution
Solution Summary

A filter response is matched to its correct time domain waveform (from a number of options given) by carrying out the inverse Laplace transform analysis on each option response

Solution Preview

Please see mathematical analysis showing the steps in the attachments. You may need to consult both the attachments in tandem as I have separated some of ...

Purchase this Solution
Free BrainMass Quizzes
Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.

Air Pollution Control - Environmental Science

Working principle of ESP

View More Free Quizzes
Related BrainMass Solutions

  • Waveforms : Fourier and Laplace Transforms

    Thanks for using BrainMass. Waveforms and Fourier and Laplace Transforms are investigated. Laplace transforms for this signal is dervived. The simplest form for Fourier transforms are determined.

  • Using Laplace transforms to analyse diff circuits responses

    These solutions show how to use Laplace transforms to identify frequency responses of cicruits to time domain waveforms and also use the Inverse Laplace transofrms to work from the frequency domain to identify equivalent time domain waveforms.

  • LaPlace Transforms : Calculating the Currents in a Circuit

    So the inverse transform of equation (7) is Step 4: Find the inverse Laplace transform of I2(s) (7) First for Thus, for , applying the time shifting property of Laplace transform, the time domain function is Similar, the inverse

  • LaPlace Transforms: Calculating the Currents in a Circuit

    focus on So Take the inverse Laplace transform of X(s) Now, for , applying the time delay property, Step 6: find the inverse Laplace transform of equation (6), i.e. i1(t) Where So Take the inverse Laplace transform

  • Finding Inverse Laplace transforms of a function

    427947 Finding Inverse Laplace transforms of a function Finding the inverse Laplace transform of the function X(s) = s/{(s - 2)^1.5.(s^2 + 1)} Using partial fraction expansion and inverse laplace transforms of known functions.

  • Laplace Transforms : Convolution Products and Differential Equations

    Using this, we solve the first part: (a) We will have: which is the multiplication of the Laplace transforms of these functions. Now we must find the inverse of this Laplace transform. We must use partial fractions.

  • Inverse Laplace transform

    Find the inverse Laplace transform of the function , using the convolution property of Laplace transforms.

  • Laplace Transform

    Solution: Using Laplace Transform, we have: Since y(0) = 0 and y'(0) = 1, we have: Getting the inverse Laplace transform, we have: Compute the inverse Laplace transform of: X(s)= 3s2+2s+1 ___________

  • Question about Inverse Laplace transforms

    30370 Inverse Laplace Transforms and partial fractions I have a transform F(s) of which I need the inverse transform for. The form of the transform is not of a common form and I am having trouble reducing it to a workable form.

  • Laplace transform and initial value problems

    The solution is comprised of step-by-step explanations of using inverse Laplace transforms to solve differential equations. Furthermore, it shows how to apply convolution theorem to find the inverse Laplace transform.

View More Related Solutions