I'm studying for a test and I can't really explain this question very well.
If we convolve a signal by itself, will it have the same properties (time-invariant, linear, stable, casual)?
I know how to prove if the signal has a certain property, but I'm not sure the property is retained if a signal is convolved by itself, for all signals.
I'll appreciate it if someone can explain this concept to me. Thanks in advance.