I have a real signal that is being sampled via ADC and passed to a Xilinx V6 FPGA. I then do a Hilbert transform on it using the FIR compiler core and get the complex signal (I and Q) to tweak the signal some. Now I am struggling with how to do the inverse Hilbert to get back to a real signal again.
I understand in theory that H(H(u)) = -u. But the FIR compiler simply does not allow for a complex input and a real output. Is there a trick to get around this?