If the signal g(t) is defined as:

g(t) = rect(4t) * 4δ(-2t)

Then the Fourier transform of g(t) is ______

1
\(\frac{1}{2}sinc\;\left( {\frac{f}{4}} \right)\)
2
\(\frac{1}{4}sinc\;\left( {\frac{f}{4}} \right)\)
3
\(\frac{1}{2}sinc\;\left( {\frac{f}{2}} \right)\)
4
\(\frac{1}{4}sinc\;\left( {\frac{f}{2}} \right)\)

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