To use the Fourier tool in Excel you need to load the Data Analysis tool pack in Excel first. So in the current spreadsheet you should go to "Tools", "Add ins", Select "Analysis Toolpak" then click OK.

To perform tha Fourier analysis go to "Tools", click on "Data Analysis" and select "Fourier" from the list

Select the range of cells that you need to perform the analysis on, in this particular case cells of current sampekls in cells B2 to B1025. Note using Ecel Foirier analysis tool this must be a whole power of 2 ...

Solution Summary

Using a set of sampled waveform data Fourier tools are used in Excel to generate fourier coefficients hence produce spectrum graphs identifying key frequency components in the data, and more.

Please see attachment.
1. What is theFourierTransform for the convolution of sin(2t)*cos(2t).
2. Compute the inverse Fouriertransform for X(w)= sin^2*3w
3. A continuous time signal x(t) has theFouriertransform
X(w) = 1/jw+b where b is a constant. Determine theFouriertransform for v(t) = x*(5t-4)

Please see the attached file for details.
1. A continuous time signal x(t) has theFouriertransform X(w) = 1/(jw + b), where b is a constant. Determine theFouriertransform for v(t) = x(5t - 4).
2. For a discrete-time signal x[n] with the DTFT X(w) = 1/(e^jw + b), where b is an arbitrary constant compute the DTFT V(Ω

Please see the attached file and include an explanation of problem. Thank you.
1. Compute theFouriertransform for x(t) = texp(-t)u(t)
2. The linearity property of theFouriertransform is defined as:
3. Determine the exponential Fourier series for:
4. Using complex notation, combine the expressions to form a singl

The problem is from Fourier Cosine and Sine Transforms, and Passage from Fourier Integral to Laplace Transform:
Solve using a cosine or sine transform.
u'' - 9u =50e^-3x (0

Please show all steps.
1. Let f(x) be a 2pi- periodic function such that f(x) = x^2 −x for x ∈ [−pi,pi].
Find theFourier series for f(x).
2. Let f(x) be a 2pi- periodic function such that f(x) = x^2 for x ∈ [−1,1]. Usingthe complex form, find theFourier series of the function f(x).
3. See attachmen

1. Find theFourier sine series of f(x)=1, 0the initial condition f(0,x)=1 if |x|L/2
Please see the attachment to view the questions with correct mathematical notation (and also phrased slightly differe

A waveform v(t) has a Fouriertransform which extends over the range -F to +F in the frequency domain. The square of the waveform v(t), that is, v(t) v(t), then has a Fouriertransforms which extends over the range:
==============================================
Answers:
a) -F to +F
b) -2F to +2F
c) -3F to +3F
d) -4F to +

Problem attached.
"Eigenvalues and Eigenvectors of theFourierTransform"
Recall that theFouriertransform F is a linear one-to-one transformation from L2 (?cc, cc) onto itself.
Let .. be an element of L2(?cc,cc).
Let..= , theFouriertransform of.., be defined by
.....
It is clear that
.....
are square-integrable fu