MATLAB - REAL vs COMPLEX sinusoidal signal

[powersys]

In MATLAB, there are two types of "Sine Wave" generator (see figure below). One can be found in Simulink library, and another one can be found in Signal Processing Blockset (SPB).

When the "Output complexity parameter" of SPB "Sine Wave" block to Complex, it will generate complex sinusoidal signal.

What is the different between the sinewave generated by "Sine Wave" block in Simulink vs "Sine Wave" block in Signal Processing Blockset (SPB)?

I wish to understand the "physical" meaning and difference. I appreciate if someone can give a "real-world" example in which sinewave (i.e. complex sinusoid) generated by SPB is useful.

Thanks

 

[FvM]

DSP is often dealing with complex sine signals, e.g. for IQ modulation/demodulation in digital communication.
But it has also simple applications, e.g. in three phase power electronics. A complex sine generator can directly
drive out to a voltage in alpha/beta representation.