Chapter 4 Problem solution 4. 14 Consider a signal x(t) be a signal with Fourier transformr(o Suppose we are given the following facts: (1). x(t) is real and nonnegative (2).Fu+ja)xljo)=Ae 2u(t) Where A is independent of t (3).X(o)ao=2 Determine a closed-form expression for x(o) x()=√1e-e2)l()6 Chapter 4 Problem Solution 4.14 Consider a signal be a signal with Fourier transform . Suppose we are given the following facts: (1). is real and nonnegative. (2). Where A is independent of t . (3). Determine a closed-form expression for . x(t) X(j) x(t) x(t) F ( j )X(j ) Ae u(t) 1 2t 1 − − +   = ( )  2 2 =  + − X j d x(t) (e e )u(t) t t 12 − −2 = −