What is the Fourier transform of the unit step function U(ω)?
A. πδ(ω)-0.5-j0.5cot(ω/2)
B. πδ(ω)-0.5+j0.5cot(ω/2)
C. πδ(ω)+0.5+j0.5cot(ω/2)
D. πδ(ω)+0.5-j0.5cot(ω/2)
Answer:A
What is the Fourier transform of the unit step function U(ω)?
A. πδ(ω)-0.5-j0.5cot(ω/2) B. πδ(ω)-0.5+j0.5cot(ω/2) C. πδ(ω)+0.5+j0.5cot(ω/2) D. πδ(ω)+0.5-j0.5cot(ω/2)
Explanation: Since the unit step function is not absolutely summable, it has a Fourier transform which is given by the equation