Question

Which of the following is true for complex-valued function?

(a) X (-t) = x*(t)

(b) X (-t) = x(t)

(c) X (-t) = – x(t)

(d) X (-t) = x*(-t)

The question was posed to me in a dream while sleeping

Query is from Classification of Signals topic in portion Signals and Systems Basics of Signals and Systems

Answer 1

The correct option is (a) X (-t) = x*(t)

To elaborate: Complex-valued function is said to be conjugate symmetry if its real part is even and imaginary part is odd and it is shown by the equation x(-t) = x*(t).