Please see the attached file for details.
1. A continuous time signal x(t) has the Fouriertransform X(w) = 1/(jw + b), where b is a constant. Determine the Fouriertransform 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 the Fouriertransform for x(t) = texp(-t)u(t)
2. The linearity property of the Fouriertransform is defined as:
3. Determine the exponential Fourier series for:
4. Using complex notation, combine the expressions to form a singl
1. Find the Fourier sine series of f(x)=1, 0L/2
Please see the attachment to view the questions with correct mathematical notation (and also phrased slightly differe
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
Show that integral from - infinity to + infinity of psi_1(x) times psi_2*(x) dx is equal to integral from - infinity to + infinity of phi_1(k) times phi_2*(k) dk.
* indicates complex conjugate
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 the Fourier series for f(x).
2. Let f(x) be a 2pi- periodic function such that f(x) = x^2 for x ∈ [−1,1]. Using
the complex form, find the Fourier series of the function f(x).
3. See attachmen
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:
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Answers:
a) -F to +F
b) -2F to +2F
c) -3F to +3F
d) -4F to +
