यदि \(x\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {A;\;\;\;\left| t \right| \le \tau /2}\\ {0;\;\;\;\;\left| t \right| > \tau /2} \end{array}} \right.\) हो तो इसका फूरियर रूपांतरण क्या है?
1
\(X\left( f \right) = A\tau \cdot \frac{{\sin \pi F\tau }}{{\pi F\tau }}\)
2
\(X\left( f \right) = A \cdot \frac{{\sin \pi F\tau }}{{\pi F\tau }}\)
3
\(X\left( f \right) = \frac{1}{A} \cdot \frac{{\sin \pi F\tau }}{{\pi F\tau }}\)
4
\(X\left( f \right) = \frac{\tau }{A} \cdot \frac{{\sin \pi F\tau }}{{\pi F\tau }}\)