Explore BrainMass
Share

Fourier transform and energy

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

I am trying to get a feel for Fourier transforms and would like some help.
Please show all work/explanations.

1. Let g(t) = x(2t) - x*(2t- 1/2T0), assume that X(jw) is known
Find G(jw) in terms of X(jw).

2. Let x(t) = 10sin(200t)/t
a) Find X(jw)
b) Let x(t) be the input to a continuous LTI system with impulse response h(t) = sin(100t)/t.
Find the output y(t)
c) Find the energy in x(t) and the energy in y(t).

© BrainMass Inc. brainmass.com March 21, 2019, 1:52 pm ad1c9bdddf
https://brainmass.com/engineering/electrical-engineering/fourier-transform-energy-108367

Attachments

Solution Preview

Please see the attached file.

1. We can just use the properties of Fourier transform
Conjugate function

Time scaling

Time shifting

So

Be careful with the last one, the time shifting is , and it ...

Solution Summary

If provides examples of finding the Fourier transform of the signal. Then, it shows how to apply Fourier transform to find the output of the system given the impulse response. The solution is detailed and well presented.

$2.19