What is real and complex signal?
A real signal at any given time takes its value in the set of real numbers, and a complex signal takes its value in the set of complex numbers.
What is complex conjugate signal?
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
Can a signal take complex value?
While the domain set determines the arguments of the signal, the range set determines the values of it. Therefore a real valued signal is a function whose range set is the real numbers. Consequently a complex valued signal is the one whose range set is the complex numbers.