A signal X(t) is a real valued time domain signal and Y(t) is a signal that only contains the non-negative spectral components of X(t). How do I determine whether Y(t) is real-valued or complex?
I know that a time domain signal can be real or complex based on its Fourier transform nature (i.e. even or odd). But how to determine this in such a general case? How to make use of the input- non-negative spectral components, what is its significance?