sinc function

The Fourier transform $$X(\omega)$$ of the signal $$x(t)$$ is given by $$X(\omega ) = 1$$, for $$|\omega | $$ = 0$$, for $$|\omega | > {W_0}$$ Which one of the following statements...

The value of the integral $$\,\,2\int_{ - \infty }^\infty {\left( {{{\sin \,2\pi t} \over {\pi t}}} \right)} dt\,\,$$ is equal to

The Fourier transform of a signal h(t) is $$H\left(j\omega\right)=\left(2\cos\omega\right)\left(\sin2\omega\right)/\omega$$. The value of h(0) is

At $$t=0,$$ the function $$f\left( t \right) = {{\sin t} \over t}\,\,$$ has

A signal $$x\left( t \right) = \sin c\left( {\alpha t} \right)$$ where $$\alpha $$ is a real constant $$\left( {\sin \,c\left( x \right) = {{\sin \left( {\pi x} \right)} \over {\pi...