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Inverse Fourier transform

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1. A continuous time signal x(t) has the Fourier transform X(w) = 1/(jw + b), where b is a constant. Determine the Fourier transform 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) of v[n] = x[n - 5].

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The inverse Fourier transforms of two signals are calculated.

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Fourier Transform

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1. What is the Fourier Transform for the convolution of sin(2t)*cos(2t).

2. Compute the inverse Fourier transform for X(w)= sin^2*3w

3. A continuous time signal x(t) has the Fourier transform
X(w) = 1/jw+b where b is a constant. Determine the Fourier transform for v(t) = x*(5t-4)

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