Examveda

Let F(ω) be the Fourier transform of a function f(t), then F(0) is

A. $$\int\limits_{ - \infty }^\infty {f\left( t \right)dt} $$

B. $$\int\limits_{ - \infty }^\infty {{{\left| {f\left( t \right)} \right|}^2}dt} $$

C. $$\int\limits_{ - \infty }^\infty {{{\left| {tf\left( t \right)} \right|}^2}dt} $$

D. $$\int\limits_{ - \infty }^\infty {tf\left( t \right)dt} $$

Answer: Option A


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