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(Solved): Problem 3: Fourier Transform Basics Find the Fourier Transform of the following time-domain signals: ...



Problem 3: Fourier Transform Basics Find the Fourier Transform of the following time-domain signals:

f(t)=\delta (t-2)

, where

\delta (t)

is the Dirac delta function.

f(t)=e^(-2|t|)

, a decaying exponential.

f(t)=cos(2\pi f_(0)t)

, a cosine signal with frequency

f_(0)

. Problem 4: Signal Analysis in the Frequency Domain Consider a signal

x(t)=sin(2\pi t)+sin(4\pi t)

, Find the Fourier Transform of

x(t)

. Plot the magnitude spectrum of

x(f)

. What is the bandwidth of the signal?



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